* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (sqr n))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 2 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 3 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 4 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (+ f n)) (- 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 (expm1 (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (expm1 (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 5 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (+ f n)) (- 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 (log1p (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log1p (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 6 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ f n))) (log (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (- (+ f n))) (log (- f n))) * [exit]simplify: Simplified to (- (log (- (+ f n))) (log (- f n))) * * * * [misc]progress: [ 8 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 9 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (exp (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 10 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (+ f n))) (cube (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (cube (/ (- (+ f n)) (- f n))) * [exit]simplify: Simplified to (cube (/ (- (+ f n)) (- f n))) * * * * [misc]progress: [ 11 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- 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 (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 12 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (- (cube (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (- (cube (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 13 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (+ f n))) (cbrt (- f n))) * [exit]simplify: Simplified to (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * * * [misc]progress: [ 14 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (+ f n)) (- 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 (sqrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (sqrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 15 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ f n))) (sqrt (- f n))) * [exit]simplify: Simplified to (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * * * [misc]progress: [ 16 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ f n))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ f n) * [exit]simplify: Simplified to (+ f n) * [enter]simplify: Simplifying (- (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (- f n)) * [exit]simplify: Simplified to (- (- f n)) * * * * [misc]progress: [ 17 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 18 / 34 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 19 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 20 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 21 / 34 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 22 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [exit]simplify: Simplified to (/ 1 (- f n)) * * * * [misc]progress: [ 24 / 34 ] simplifiying candidate # * [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 (14 enodes) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * * * * [misc]progress: [ 25 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 26 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) 1)) * [exit]simplify: Simplified to (- (/ (+ f n) 1)) * * * * [misc]progress: [ 27 / 34 ] simplifiying candidate # * [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 (14 enodes) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * * * * [misc]progress: [ 28 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * * * * [misc]progress: [ 29 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * * * * [misc]progress: [ 30 / 34 ] simplifiying candidate # * [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 (14 enodes) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * * * * [misc]progress: [ 31 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (cube f) (cube n))) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (cube f) (cube n))) * * * * [misc]progress: [ 32 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (- (sqr f) (sqr n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * * * * [misc]progress: [ 33 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- f n) (+ (sqr f) (- (sqr n) (* f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (fma (- n f) n (sqr f)) (- f n)) * [exit]simplify: Simplified to (* (fma (- n f) n (sqr f)) (- f n)) * * * * [misc]progress: [ 34 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [exit]simplify: Simplified to (* (- f n) (- f n)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in n * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 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]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 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]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 f))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (sqr f))) * [misc]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 (sqr f)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (sqr f)))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (sqr f)))) into (- (* 2 (/ 1 (sqr f)))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (/ 1 (sqr f)))) (sqr (* n 1))) (+ (* (- (* 2 (/ 1 f))) (* n 1)) -1)) into (- (+ 1 (+ (* 2 (/ n f)) (* 2 (/ (sqr n) (sqr f)))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) 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]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* 2 (/ 1 f)) into (/ 2 f) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (sqr f)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (sqr f))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (sqr f))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr f))) into (/ 2 (sqr f)) * [misc]backup-simplify: Simplify (+ (* (/ 2 (sqr f)) (sqr (* (/ 1 n) 1))) (+ (* (/ 2 f) (* (/ 1 n) 1)) 1)) into (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) (+ (* 2 (/ 1 (* n f))) 1)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* 2 (/ 1 f)) into (/ 2 f) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) 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 (sqr f))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr f))) into (/ 2 (sqr f)) * [misc]backup-simplify: Simplify (+ (* (/ 2 (sqr f)) (sqr (* (/ 1 (- n)) 1))) (+ (* (/ 2 f) (* (/ 1 (- n)) 1)) 1)) into (- (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) 1) (* 2 (/ 1 (* n f)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (sqr n))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ (+ n f) (- f n)))) in n * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- f n)))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- f n)))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- f n)))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (* 2 (/ n f)) (* 2 (/ (sqr n) (sqr f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) (+ (* 2 (/ 1 (* n f))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (+ (/ 2 (* (* f n) (* f n))) (+ (/ (/ 2 f) n) 1)) * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) 1) (* 2 (/ 1 (* n f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (fma (/ 1 f) (- (/ (/ 2 n) (* f n)) (/ 2 n)) 1) * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt -1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt -1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1 n) (/ -1 f)) (- (/ 1 f) (/ 1 n))) * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (expm1 (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (expm1 (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log1p (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log1p (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (log (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (exp (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (exp (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (- (cube (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (- (cube (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ -1 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (cube (cbrt (/ (+ f n) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (- 1) 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (cube (cbrt (/ (+ f n) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (+ f n)) * [exit]simplify: Simplified to (- (+ f n)) * [enter]simplify: Simplifying (cube (cbrt (/ 1 (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [exit]simplify: Simplified to (/ 1 (- f n)) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (cube f) (cube n))) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (cube f) (cube n))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr f) (+ (sqr n) (* f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (fma (+ f n) n (sqr f)) * [exit]simplify: Simplified to (fma (+ f n) n (sqr f)) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- (sqr f) (sqr n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * [enter]simplify: Simplifying (cube (cbrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (+ f n) * [exit]simplify: Simplified to (+ f n) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (+ f n)) * [exit]simplify: Simplified to (- (+ f n)) * [enter]simplify: Simplifying (cube (cbrt (- f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- f n) * [exit]simplify: Simplified to (- f n) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqr (cbrt (/ (- (+ f n)) (- f n)))) * [exit]simplify: Simplified to (sqr (cbrt (/ (- (+ f n)) (- f n)))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (sqrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (+ f n)) (- 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 (expm1 (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (expm1 (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (+ f n)) (- 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 (log1p (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log1p (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ f n))) (log (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (- (+ f n))) (log (- f n))) * [exit]simplify: Simplified to (- (log (- (+ f n))) (log (- f n))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (exp (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (+ f n))) (cube (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (cube (/ (- (+ f n)) (- f n))) * [exit]simplify: Simplified to (cube (/ (- (+ f n)) (- f n))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- 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 (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (- (cube (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (- (cube (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (+ f n))) (cbrt (- f n))) * [exit]simplify: Simplified to (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (+ f n)) (- 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 (sqrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (sqrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ f n))) (sqrt (- f n))) * [exit]simplify: Simplified to (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ f n))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ f n) * [exit]simplify: Simplified to (+ f n) * [enter]simplify: Simplifying (- (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (- f n)) * [exit]simplify: Simplified to (- (- f n)) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 45 / 80 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ -1 1) * [exit]simplify: Simplified to (/ -1 1) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 48 / 80 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [exit]simplify: Simplified to (/ 1 (- f n)) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [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 (14 enodes) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) 1)) * [exit]simplify: Simplified to (- (/ (+ f n) 1)) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [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 (14 enodes) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * [exit]simplify: Simplified to (/ (- f n) (+ f n)) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [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 (14 enodes) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * [exit]simplify: Simplified to (/ (- f n) (- (+ f n))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (cube f) (cube n))) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (cube f) (cube n))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (- (sqr f) (sqr n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- f n) (+ (sqr f) (- (sqr n) (* f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (fma (- n f) n (sqr f)) (- f n)) * [exit]simplify: Simplified to (* (fma (- n f) n (sqr f)) (- f n)) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [exit]simplify: Simplified to (* (- f n) (- f n)) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ (+ f n) (- f n))))) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log1p (cbrt (- (/ (+ f n) (- f n))))) * [exit]simplify: Simplified to (log1p (cbrt (- (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (cbrt (- (/ (+ f n) (- f n))))) * [exit]simplify: Simplified to (log (cbrt (- (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (/ (+ f n) (- f n))))) * [exit]simplify: Simplified to (exp (cbrt (- (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- 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 (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ -1 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ -1 1)) * [exit]simplify: Simplified to (cbrt (/ -1 1)) * [enter]simplify: Simplifying (cbrt (/ (+ f n) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (- 1)) * [exit]simplify: Simplified to (cbrt (- 1)) * [enter]simplify: Simplifying (cbrt (/ (+ f n) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- 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 (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- 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 (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (+ f n))) * [exit]simplify: Simplified to (cbrt (- (+ f n))) * [enter]simplify: Simplifying (cbrt (/ 1 (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- f n))) * [exit]simplify: Simplified to (cbrt (/ 1 (- f n))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) * [exit]simplify: Simplified to (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) * [enter]simplify: Simplifying (cbrt (+ (sqr f) (+ (sqr n) (* f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (fma n (+ f n) (sqr f))) * [exit]simplify: Simplified to (cbrt (fma n (+ f n) (sqr f))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- (sqr f) (sqr n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1) (- f n))) * [exit]simplify: Simplified to (cbrt (/ (- 1) (- f n))) * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [exit]simplify: Simplified to (cbrt (+ f n)) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (+ f n))) * [exit]simplify: Simplified to (cbrt (- (+ f n))) * [enter]simplify: Simplifying (cbrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (- f n)) * [exit]simplify: Simplified to (cbrt (- f n)) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (+ f n) (- f n))))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (+ f n) (- f n))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 9 * [misc]approximate: Taking taylor expansion of (expm1 (/ (- (+ f n)) (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ f n)) (- f n))) in n * [misc]backup-simplify: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n * [misc]backup-simplify: Simplify (expm1 (* -1 (/ (+ n f) (- f n)))) into (expm1 (* -1 (/ (+ n f) (- f n)))) * [misc]backup-simplify: Simplify (expm1 (* -1 (/ (+ n f) (- f n)))) into (expm1 (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -1 (/ (+ n f) (- f n)))) into (expm1 (* -1 (/ (+ n f) (- f n)))) * [misc]approximate: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n * [misc]backup-simplify: Simplify (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (- (+ f n)) (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ f n)) (- f n)))) in n * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n * [misc]backup-simplify: Simplify (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * [misc]backup-simplify: Simplify (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]backup-simplify: Simplify (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]backup-simplify: Simplify (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n * [misc]backup-simplify: Simplify (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]backup-simplify: Simplify (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (sqr n))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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: tayloring alt 2 of 9 * [misc]approximate: Taking taylor expansion of (log1p (/ (- (+ f n)) (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ f n)) (- f n))) in n * [misc]backup-simplify: Simplify (log1p (/ (- (+ f n)) (- f n))) into (log1p (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (log1p (/ (- (+ f n)) (- f n))) into (log1p (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (log1p (/ (- (+ f n)) (- f n))) into (log1p (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (log1p (* -1 (/ (+ n f) (- f n)))) in n * [misc]backup-simplify: Simplify (log1p (* -1 (/ (+ n f) (- f n)))) into (log1p (* -1 (/ (+ n f) (- f n)))) * [misc]backup-simplify: Simplify (log1p (* -1 (/ (+ n f) (- f n)))) into (log1p (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (* -1 (/ (+ n f) (- f n)))) into (log1p (* -1 (/ (+ n f) (- f n)))) * [misc]approximate: Taking taylor expansion of (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n * [misc]backup-simplify: Simplify (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (sqr n))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (expm1 (log1p (/ (- (+ f n)) (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ f n)) (- f n)))) in n * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ f n)) (- f n)))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ f n)) (- f n)))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ f n)) (- f n)))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) in n * [misc]backup-simplify: Simplify (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * [misc]backup-simplify: Simplify (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) into (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]backup-simplify: Simplify (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]backup-simplify: Simplify (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (expm1 (log1p (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n * [misc]backup-simplify: Simplify (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]backup-simplify: Simplify (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) into (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * * [misc]progress: tayloring alt 3 of 9 * [misc]approximate: Taking taylor expansion of (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) in n * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) (- (cube f) (cube n))) into (* -1 (/ f (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (fma (+ f n) n (sqr f)) in n * [misc]backup-simplify: Simplify (fma (+ f n) n (sqr f)) into (fma (+ n f) n (sqr f)) * [misc]taylor: Taking taylor expansion of (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) in f * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- (cube f) (cube n))) into (* -1 (/ n (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (fma (+ f n) n (sqr f)) in f * [misc]backup-simplify: Simplify (fma (+ f n) n (sqr f)) into (fma (+ n f) n (sqr f)) * [misc]taylor: Taking taylor expansion of (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) in f * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- (cube f) (cube n))) into (* -1 (/ n (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (fma (+ f n) n (sqr f)) in f * [misc]backup-simplify: Simplify (fma (+ f n) n (sqr f)) into (fma (+ n f) n (sqr f)) * [misc]backup-simplify: Simplify (* (* -1 (/ n (- (cube f) (cube n)))) (fma (+ n f) n (sqr f))) into (* -1 (/ (* n (fma (+ n f) n (sqr f))) (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* n (fma (+ n f) n (sqr f))) (- (cube f) (cube n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* n (fma (+ n f) n (sqr f))) (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (* n (fma (+ n f) n (sqr 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 (fma (+ n f) n (sqr f)) in n * [misc]backup-simplify: Simplify (fma (+ n f) n (sqr f)) into (fma (+ n f) n (sqr f)) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (* 0 (fma (+ n f) n (sqr f))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (fma (+ n f) n (sqr f)))) into (fma (+ n f) n (sqr f)) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) into (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (+ (* (* -1 (/ n (- (cube f) (cube n)))) 0) (* (- (/ 1 (- (cube f) (cube n)))) (fma (+ n f) n (sqr f)))) into (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) in n * [misc]taylor: Taking taylor expansion of (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (fma (+ n f) n (sqr f)) in n * [misc]backup-simplify: Simplify (fma (+ n f) n (sqr f)) into (fma (+ n f) n (sqr f)) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) into (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) into (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) into (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (* -1 (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) into (* -1 (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (* -1 (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) into (* -1 (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* (- (/ 1 (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (/ n (- (cube f) (cube n)))) 0) (+ (* (- (/ 1 (- (cube f) (cube n)))) 0) (* 0 (fma (+ n f) n (sqr f))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (+ n f) n (sqr f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* (- (/ 1 (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* 0 (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (/ n (- (cube f) (cube n)))) 0) (+ (* (- (/ 1 (- (cube f) (cube n)))) 0) (+ (* 0 0) (* 0 (fma (+ n f) n (sqr f)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))) (* 0 (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) (* n 1)) (* (- (/ (fma (+ n f) n (sqr f)) (- (cube f) (cube n)))) (* 1 f))) into (- (+ (/ (* n (fma (+ n f) n (sqr f))) (- (cube f) (cube n))) (/ (* f (fma (+ n f) n (sqr f))) (- (cube f) (cube n))))) * [misc]approximate: Taking taylor expansion of (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f))) in n * [misc]backup-simplify: Simplify (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f))) into (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f))) in f * [misc]backup-simplify: Simplify (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f))) into (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (* (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f))) in f * [misc]backup-simplify: Simplify (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (sqr (/ 1 f))) into (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) * [misc]backup-simplify: Simplify (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))) into (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) in n * [misc]backup-simplify: Simplify (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) into (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) 0) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))))) into (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (* n (- (cube (/ 1 f)) (cube (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) in n * [misc]backup-simplify: Simplify (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) into (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (* n (- (cube (/ 1 f)) (cube (/ 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]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (* 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) 0) (+ (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) 0) (* 0 (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cube (/ 1 f)) (cube (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) 0) (+ (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) 0) (+ (* 0 0) (* 0 (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) 0) (+ (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 1 (/ 1 (/ 1 f)))) (* (- (/ (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f))) (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (/ 1 (/ 1 n)) 1))) into (- (+ (/ (* n (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ (* f (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f)))) in n * [misc]backup-simplify: Simplify (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f)))) into (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f)))) in f * [misc]backup-simplify: Simplify (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f)))) into (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (* (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f)))) in f * [misc]backup-simplify: Simplify (fma (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)) (sqr (/ 1 (- f)))) into (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) * [misc]backup-simplify: Simplify (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))) into (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) in n * [misc]taylor: Taking taylor expansion of (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) in n * [misc]backup-simplify: Simplify (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) into (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) 0) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))))) into (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) in n * [misc]taylor: Taking taylor expansion of (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) in n * [misc]backup-simplify: Simplify (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) into (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) * [misc]taylor: Taking taylor expansion of (* n (- (cube (/ -1 f)) (cube (/ -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]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (* 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cube (/ -1 f)) (cube (/ -1 n))))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) 0) (+ (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) 0) (* 0 (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cube (/ -1 f)) (cube (/ -1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) 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 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) 0) (+ (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) 0) (+ (* 0 0) (* 0 (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) 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 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) 0) (+ (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (* 1 (/ 1 (/ 1 (- f))))) (* (/ (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (* (/ 1 (/ 1 (- n))) 1))) into (- (+ (/ (* f (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ (* n (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))) (- (cube (/ -1 f)) (cube (/ -1 n)))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) (- (cube f) (cube n))) into (* -1 (/ f (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- (cube f) (cube n))) into (* -1 (/ n (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- (cube f) (cube n))) into (* -1 (/ n (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ n (- (cube f) (cube n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ n (- (cube f) (cube 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]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (/ 1 (- (cube f) (cube n))) into (/ 1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- (cube f) (cube n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (/ 1 (- (cube f) (cube n))) into (/ 1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube f) (cube n)))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube f) (cube n)))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (* -1 (/ 1 (- (cube f) (cube n)))) into (/ -1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (/ -1 (- (cube f) (cube n))) into (/ -1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* (- (/ 1 (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (/ 1 (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 (- (cube f) (cube n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* (- (/ 1 (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* 0 (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))) (* 0 (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube f) (cube n))) (* n 1)) (* (- (/ 1 (- (cube f) (cube n)))) (* 1 f))) into (- (+ (/ f (- (cube f) (cube n))) (/ n (- (cube f) (cube n))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* n (- (cube (/ 1 f)) (cube (/ 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]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (* 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cube (/ 1 f)) (cube (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (* 1 (/ 1 (/ 1 f)))) (* (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (/ 1 (/ 1 n)) 1))) into (- (+ (/ f (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ n (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) in n * [misc]taylor: Taking taylor expansion of (* n (- (cube (/ -1 f)) (cube (/ -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]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (* 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cube (/ -1 f)) (cube (/ -1 n))))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cube (/ -1 f)) (cube (/ -1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) 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 (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) 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 (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (* 1 (/ 1 (/ 1 (- f))))) (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (* (/ 1 (/ 1 (- n))) 1))) into (- (+ (/ n (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ f (- (cube (/ -1 f)) (cube (/ -1 n)))))) * [misc]approximate: Taking taylor expansion of (- (cube f) (cube n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- (cube f) (cube n)) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cube f) (cube n)) into (- (cube f) (cube n)) * [misc]approximate: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- (cube (/ 1 f)) (cube (/ 1 n))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cube (/ 1 f)) (cube (/ 1 n))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]approximate: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- (cube (/ -1 f)) (cube (/ -1 n))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cube (/ -1 f)) (cube (/ -1 n))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]approximate: Taking taylor expansion of (cube f) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]approximate: Taking taylor expansion of (cube (/ 1 f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]approximate: Taking taylor expansion of (cube (/ 1 (- f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * * * [misc]progress: tayloring alt 4 of 9 * [misc]approximate: Taking taylor expansion of (cbrt (fma n (+ f n) (sqr f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma n (+ f n) (sqr f))) in f * [misc]backup-simplify: Simplify (cbrt (fma n (+ f n) (sqr f))) into (cbrt (fma n (+ n f) (sqr f))) * [misc]taylor: Taking taylor expansion of (cbrt (fma n (+ f n) (sqr f))) in n * [misc]backup-simplify: Simplify (cbrt (fma n (+ f n) (sqr f))) into (cbrt (fma n (+ n f) (sqr f))) * [misc]taylor: Taking taylor expansion of (cbrt (fma n (+ f n) (sqr f))) in n * [misc]backup-simplify: Simplify (cbrt (fma n (+ f n) (sqr f))) into (cbrt (fma n (+ n f) (sqr f))) * [misc]taylor: Taking taylor expansion of (cbrt (fma n (+ n f) (sqr f))) in f * [misc]backup-simplify: Simplify (cbrt (fma n (+ n f) (sqr f))) into (cbrt (fma n (+ n f) (sqr f))) * [misc]backup-simplify: Simplify (cbrt (fma n (+ n f) (sqr f))) into (cbrt (fma n (+ n f) (sqr f))) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (fma n (+ n f) (sqr f))) into (cbrt (fma n (+ n f) (sqr f))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) in f * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) into (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) in n * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) into (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) in n * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (sqr (/ 1 f)))) into (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) in f * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) into (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) into (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) into (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) in f * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) into (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) in n * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) into (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) in n * [misc]backup-simplify: Simplify (cbrt (fma (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))) (sqr (/ 1 (- f))))) into (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) in f * [misc]backup-simplify: Simplify (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) into (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) * [misc]backup-simplify: Simplify (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) into (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) into (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) into (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) into (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) into (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) in n * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) into (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) into (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) into (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) in n * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) in n * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) (- (cube f) (cube n))) into (* -1 (/ f (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- (cube f) (cube n))) into (* -1 (/ n (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- (cube f) (cube n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- (cube f) (cube n))) into (* -1 (/ n (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ n (- (cube f) (cube n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ n (- (cube f) (cube 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]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (/ 1 (- (cube f) (cube n))) into (/ 1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- (cube f) (cube n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- (cube f) (cube n))) in n * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (/ 1 (- (cube f) (cube n))) into (/ 1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube f) (cube n)))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube f) (cube n)))) into (- (/ 1 (- (cube f) (cube n)))) * [misc]backup-simplify: Simplify (* -1 (/ 1 (- (cube f) (cube n)))) into (/ -1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (/ -1 (- (cube f) (cube n))) into (/ -1 (- (cube f) (cube n))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* (- (/ 1 (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (/ 1 (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 (- (cube f) (cube n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube f) (cube n))) (+ (* (* -1 (/ n (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* (- (/ 1 (- (cube f) (cube n)))) (/ 0 (- (cube f) (cube n)))) (* 0 (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube f) (cube n))) (/ 0 (- (cube f) (cube n)))) (* 0 (/ 0 (- (cube f) (cube n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube f) (cube n))) (* n 1)) (* (- (/ 1 (- (cube f) (cube n)))) (* 1 f))) into (- (+ (/ f (- (cube f) (cube n))) (/ n (- (cube f) (cube n))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (cube (/ 1 f)) (cube (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* n (- (cube (/ 1 f)) (cube (/ 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]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (* 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) into (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) * [misc]backup-simplify: Simplify (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) into (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cube (/ 1 f)) (cube (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n)))) (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (- (/ 1 (* n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* 0 (/ 0 (- (cube (/ 1 f)) (cube (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (- (cube (/ 1 f)) (cube (/ 1 n)))) (* 1 (/ 1 (/ 1 f)))) (* (- (/ 1 (- (cube (/ 1 f)) (cube (/ 1 n))))) (* (/ 1 (/ 1 n)) 1))) into (- (+ (/ f (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ n (- (cube (/ 1 f)) (cube (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (cube (/ 1 (- f))) (cube (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]taylor: Taking taylor expansion of (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) in n * [misc]taylor: Taking taylor expansion of (* n (- (cube (/ -1 f)) (cube (/ -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]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (* 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cube (/ -1 f)) (cube (/ -1 n))))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]backup-simplify: Simplify (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) into (/ 1 (- (cube (/ -1 f)) (cube (/ -1 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cube (/ -1 f)) (cube (/ -1 n)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) 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 (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) 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 (- (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n)))) (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* (/ 1 (* n (- (cube (/ -1 f)) (cube (/ -1 n))))) (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))) (* 0 (/ 0 (- (cube (/ -1 f)) (cube (/ -1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (* 1 (/ 1 (/ 1 (- f))))) (* (/ 1 (- (cube (/ -1 f)) (cube (/ -1 n)))) (* (/ 1 (/ 1 (- n))) 1))) into (- (+ (/ n (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ f (- (cube (/ -1 f)) (cube (/ -1 n)))))) * [misc]approximate: Taking taylor expansion of (- (cube f) (cube n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in f * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]taylor: Taking taylor expansion of (- (cube f) (cube n)) in n * [misc]taylor: Taking taylor expansion of (cube f) in n * [misc]backup-simplify: Simplify (cube f) into (cube f) * [misc]taylor: Taking taylor expansion of (cube n) in n * [misc]backup-simplify: Simplify (cube n) into (cube n) * [misc]backup-simplify: Simplify (- (cube n)) into (- (cube n)) * [misc]backup-simplify: Simplify (+ (cube f) (- (cube n))) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- (cube f) (cube n)) into (- (cube f) (cube n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cube f) (cube n)) into (- (cube f) (cube n)) * [misc]approximate: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in f * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 f)) (cube (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in n * [misc]backup-simplify: Simplify (cube (/ 1 f)) into (cube (/ 1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 n)) in n * [misc]backup-simplify: Simplify (cube (/ 1 n)) into (cube (/ 1 n)) * [misc]backup-simplify: Simplify (- (cube (/ 1 n))) into (- (cube (/ 1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ 1 f)) (- (cube (/ 1 n)))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- (cube (/ 1 f)) (cube (/ 1 n))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cube (/ 1 f)) (cube (/ 1 n))) into (- (cube (/ 1 f)) (cube (/ 1 n))) * [misc]approximate: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in n * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]taylor: Taking taylor expansion of (- (cube (/ 1 (- f))) (cube (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- f))) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- n))) in f * [misc]backup-simplify: Simplify (cube (/ 1 (- n))) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]taylor: Taking taylor expansion of (- (cube (/ -1 f)) (cube (/ -1 n))) in n * [misc]taylor: Taking taylor expansion of (cube (/ -1 f)) in n * [misc]backup-simplify: Simplify (cube (/ -1 f)) into (cube (/ -1 f)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 n)) in n * [misc]backup-simplify: Simplify (cube (/ -1 n)) into (cube (/ -1 n)) * [misc]backup-simplify: Simplify (- (cube (/ -1 n))) into (- (cube (/ -1 n))) * [misc]backup-simplify: Simplify (+ (cube (/ -1 f)) (- (cube (/ -1 n)))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- (cube (/ -1 f)) (cube (/ -1 n))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cube (/ -1 f)) (cube (/ -1 n))) into (- (cube (/ -1 f)) (cube (/ -1 n))) * * * [misc]progress: tayloring alt 5 of 9 * [misc]approximate: Taking taylor expansion of (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) in n * [misc]taylor: Taking taylor expansion of (- (- (sqr f) (sqr n))) in n * [misc]taylor: Taking taylor expansion of (- (sqr f) (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (* (- f n) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* f f) into (sqr f) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr f) 0) into (sqr f) * [misc]backup-simplify: Simplify (- (sqr f)) into (- (sqr f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (* f f) into (sqr f) * [misc]backup-simplify: Simplify (- (sqr f)) into (- (sqr f)) * [misc]backup-simplify: Simplify (/ (- (sqr f)) (sqr f)) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) in f * [misc]taylor: Taking taylor expansion of (- (- (sqr f) (sqr n))) in f * [misc]taylor: Taking taylor expansion of (- (sqr f) (sqr n)) in f * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (sqr n) 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 n) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (- (sqr n)) into (- (sqr n)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr n))) into (- (sqr n)) * [misc]backup-simplify: Simplify (- (- (sqr n))) into (sqr n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (* (- n) (- n)) into (sqr n) * [misc]backup-simplify: Simplify (- (- (sqr n))) into (sqr n) * [misc]backup-simplify: Simplify (/ (sqr n) (sqr n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) in f * [misc]taylor: Taking taylor expansion of (- (- (sqr f) (sqr n))) in f * [misc]taylor: Taking taylor expansion of (- (sqr f) (sqr n)) in f * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (sqr n) 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 n) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (- (sqr n)) into (- (sqr n)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr n))) into (- (sqr n)) * [misc]backup-simplify: Simplify (- (- (sqr n))) into (sqr n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (* (- n) (- n)) into (sqr n) * [misc]backup-simplify: Simplify (- (- (sqr n))) into (sqr n) * [misc]backup-simplify: Simplify (/ (sqr n) (sqr n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) * [misc]backup-simplify: Simplify (- (/ 0 (sqr n)) (+ (* 1 (/ (- (* 2 n)) (sqr n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (sqr n)) (+ (* 1 (/ 1 (sqr n))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (sqr n))))) into (* 2 (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr n)) (+ (* 1 (/ 0 (sqr n))) (* (* 2 (/ 1 n)) (/ 1 (sqr n))) (* (* 2 (/ 1 (sqr n))) (/ (- (* 2 n)) (sqr n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (/ (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (sqr (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (- (sqr (/ 1 f)) (sqr (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 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 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr n))) into (- (/ 1 (sqr n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr n)))) into (- (/ 1 (sqr n))) * [misc]backup-simplify: Simplify (- (- (/ 1 (sqr n)))) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (sqr n)) 1) (+ (* -1 (/ (/ 1 (sqr n)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 n))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (sqr n)) 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (/ (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- f))) 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 (sqr (/ 1 (- n))) 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)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- f))) 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 (sqr (/ 1 (- n))) 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)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- f))) 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 (sqr (/ 1 (- n))) 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)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -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 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 n) (/ -1 n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr n))) into (- (/ 1 (sqr n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr n)))) into (- (/ 1 (sqr n))) * [misc]backup-simplify: Simplify (- (- (/ 1 (sqr n)))) into (/ 1 (sqr 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (sqr n)) 1) (+ (* -1 (/ (/ 1 (sqr n)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (sqr n)) 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- (sqr f) (sqr n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr f) (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (- (sqr f) (sqr n)) in f * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (sqr n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- (sqr f) (sqr n)) in f * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (sqr n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (sqr n) * [misc]backup-simplify: Simplify (- (sqr n)) into (- (sqr n)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr n))) into (- (sqr n)) * [misc]taylor: Taking taylor expansion of (- (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (sqr (* n 1))) (* 1 (sqr (* 1 f)))) into (- (sqr f) (sqr n)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (sqr (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (- (sqr (/ 1 f)) (sqr (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 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]taylor: Taking taylor expansion of (sqr (/ 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr n))) into (- (/ 1 (sqr n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr n)))) into (- (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 f))))) (* -1 (sqr (* (/ 1 (/ 1 n)) 1)))) into (- (sqr f) (sqr n)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- f))) 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 (sqr (/ 1 (- n))) 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 (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- f))) 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 (sqr (/ 1 (- n))) 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 (- (sqr (/ 1 (- f))) (sqr (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- f))) 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 (sqr (/ 1 (- n))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 n) (/ -1 n)) into (/ 1 (sqr n)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr n))) into (- (/ 1 (sqr n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr n)))) into (- (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (/ -1 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (/ -1 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- f)))))) (* -1 (sqr (* (/ 1 (/ 1 (- n))) 1)))) into (- (sqr f) (sqr n)) * [misc]approximate: Taking taylor expansion of (* (- f n) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (- f n) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- f n) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* (- f n) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (* (- n) (- n)) into (sqr n) * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) * [misc]taylor: Taking taylor expansion of (- (* 2 n)) in n * [misc]taylor: Taking taylor expansion of (* 2 n) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* n 1))) (+ (* -2 (* n f)) (* 1 (sqr (* 1 f))))) into (- (+ (sqr n) (sqr f)) (* 2 (* n f))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (sqr n)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 f))))) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* 1 (sqr (* (/ 1 (/ 1 n)) 1))))) into (- (+ (sqr n) (sqr f)) (* 2 (* n f))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (sqr n)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- f)))))) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* 1 (sqr (* (/ 1 (/ 1 (- n))) 1))))) into (- (+ (sqr n) (sqr f)) (* 2 (* n f))) * * * [misc]progress: tayloring alt 6 of 9 * [misc]approximate: Taking taylor expansion of (fma (/ n f) (/ n f) (/ n f)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ n f) (/ n f) (/ n f)) in f * [misc]backup-simplify: Simplify (fma (/ n f) (/ n f) (/ n f)) into (fma (/ n f) (/ n f) (/ n f)) * [misc]taylor: Taking taylor expansion of (fma (/ n f) (/ n f) (/ n f)) in n * [misc]backup-simplify: Simplify (fma (/ n f) (/ n f) (/ n f)) into (fma (/ n f) (/ n f) (/ n f)) * [misc]taylor: Taking taylor expansion of (fma (/ n f) (/ n f) (/ n f)) in n * [misc]backup-simplify: Simplify (fma (/ n f) (/ n f) (/ n f)) into (fma (/ n f) (/ n f) (/ n f)) * [misc]taylor: Taking taylor expansion of (fma (/ n f) (/ n f) (/ n f)) in f * [misc]backup-simplify: Simplify (fma (/ n f) (/ n f) (/ n f)) into (fma (/ n f) (/ n f) (/ n f)) * [misc]backup-simplify: Simplify (fma (/ n f) (/ n f) (/ n f)) into (fma (/ n f) (/ n f) (/ n f)) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ n f) (/ n f) (/ n f)) into (fma (/ n f) (/ n f) (/ n f)) * [misc]approximate: Taking taylor expansion of (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) in f * [misc]backup-simplify: Simplify (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) in n * [misc]backup-simplify: Simplify (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) in n * [misc]backup-simplify: Simplify (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of (fma (/ f n) (/ f n) (/ f n)) in f * [misc]backup-simplify: Simplify (fma (/ f n) (/ f n) (/ f n)) into (fma (/ f n) (/ f n) (/ f n)) * [misc]backup-simplify: Simplify (fma (/ f n) (/ f n) (/ f n)) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ f n) (/ f n) (/ f n)) into (fma (/ f n) (/ f n) (/ f n)) * [misc]approximate: Taking taylor expansion of (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]backup-simplify: Simplify (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]backup-simplify: Simplify (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]backup-simplify: Simplify (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of (fma (/ f n) (/ f n) (/ f n)) in f * [misc]backup-simplify: Simplify (fma (/ f n) (/ f n) (/ f n)) into (fma (/ f n) (/ f n) (/ f n)) * [misc]backup-simplify: Simplify (fma (/ f n) (/ f n) (/ f n)) into (fma (/ f n) (/ f n) (/ f n)) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ f n) (/ f n) (/ f n)) into (fma (/ f n) (/ f n) (/ f n)) * [misc]approximate: Taking taylor expansion of (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) in f * [misc]backup-simplify: Simplify (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) into (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) in n * [misc]backup-simplify: Simplify (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) into (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) in n * [misc]backup-simplify: Simplify (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) into (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) in f * [misc]backup-simplify: Simplify (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) into (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]backup-simplify: Simplify (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) into (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) into (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]approximate: Taking taylor expansion of (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) in f * [misc]backup-simplify: Simplify (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) in n * [misc]backup-simplify: Simplify (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) in n * [misc]backup-simplify: Simplify (fma (fma (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f)) (/ (/ 1 n) (/ 1 f))) (- 2) (- 1)) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) in f * [misc]backup-simplify: Simplify (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]backup-simplify: Simplify (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]approximate: Taking taylor expansion of (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) in f * [misc]backup-simplify: Simplify (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) in n * [misc]backup-simplify: Simplify (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) in n * [misc]backup-simplify: Simplify (fma (fma (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f))) (/ (/ 1 (- n)) (/ 1 (- f)))) (- 2) (- 1)) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) in f * [misc]backup-simplify: Simplify (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]backup-simplify: Simplify (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in f * [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]taylor: Taking taylor expansion of 0 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) into (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * * * [misc]progress: tayloring alt 7 of 9 * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) in n * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) into (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) in f * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) into (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) in f * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) into (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) in n * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) into (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) into (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) into (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) into (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) into (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) into (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) into (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) into (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) into (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) into (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) into (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) into (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) in n * [misc]backup-simplify: Simplify (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) into (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) into (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) into (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]approximate: Taking taylor expansion of (cbrt (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 n) (/ 1 f))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 n) (/ 1 f))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]backup-simplify: Simplify (cbrt (- (/ 1 n) (/ 1 f))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (/ 1 n) (/ 1 f))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (+ f n))) (cbrt (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ f n))) (cbrt (- f n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ n f))) (cbrt (- f n))) into (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ f n))) (cbrt (- f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ n f))) (cbrt (- f n))) into (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ f n))) (cbrt (- f n))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ n f))) (cbrt (- f n))) into (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ n f))) (cbrt (- f n))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]backup-simplify: Simplify (cbrt (- f n)) into (cbrt (- f n)) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ n f))) (cbrt (- f n))) into (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ n f))) (cbrt (- f n))) into (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- f n))) (+ (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ 0 (cbrt (- f n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- f n))) (+ (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ 0 (cbrt (- f n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- f n))) (+ (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ 0 (cbrt (- f n)))) (* 0 (/ 0 (cbrt (- f n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- f n))) (+ (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ 0 (cbrt (- f n)))) (* 0 (/ 0 (cbrt (- f n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- f n))) (+ (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ 0 (cbrt (- f n)))) (* 0 (/ 0 (cbrt (- f n)))) (* 0 (/ 0 (cbrt (- f n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (- (+ n f))) (cbrt (- f n))) into (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) into (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) into (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) into (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (cbrt (- (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) into (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) into (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 f) (/ 1 n)))) (+ (* (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 f) (/ 1 n)))) (+ (* (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 f) (/ 1 n)))) (+ (* (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))) (* 0 (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 f) (/ 1 n)))) (+ (* (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))) (* 0 (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 f) (/ 1 n)))) (+ (* (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))) (* 0 (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))) (* 0 (/ 0 (cbrt (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) into (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]backup-simplify: Simplify (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) into (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]backup-simplify: Simplify (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) into (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]backup-simplify: Simplify (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) into (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 n) (/ 1 f))) in n * [misc]backup-simplify: Simplify (cbrt (- (/ 1 n) (/ 1 f))) into (cbrt (- (/ 1 n) (/ 1 f))) * [misc]backup-simplify: Simplify (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) into (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) into (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 n) (/ 1 f)))) (+ (* (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 n) (/ 1 f)))) (+ (* (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 n) (/ 1 f)))) (+ (* (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))) (* 0 (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 n) (/ 1 f)))) (+ (* (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))) (* 0 (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (/ 1 n) (/ 1 f)))) (+ (* (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))) (* 0 (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))) (* 0 (/ 0 (cbrt (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) into (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: tayloring alt 8 of 9 * [misc]approximate: Taking taylor expansion of (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]backup-simplify: Simplify (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) into (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]backup-simplify: Simplify (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) into (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) * [misc]backup-simplify: Simplify (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) into (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ n f))) 0) (* 0 (cbrt (/ 1 (- f n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ n f))) 0) (* 0 (cbrt (/ 1 (- f n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ n f))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- f n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ n f))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- f n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ n f))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- f n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) into (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) into (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) into (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) into (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) 0) (* 0 (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) 0) (* 0 (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) into (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) into (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) into (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) * [misc]backup-simplify: Simplify (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) into (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) * [misc]backup-simplify: Simplify (+ (* (cbrt (+ (/ 1 f) (/ 1 n))) 0) (* 0 (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ (/ 1 f) (/ 1 n))) 0) (* 0 (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ (/ 1 f) (/ 1 n))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ (/ 1 f) (/ 1 n))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cbrt (+ (/ 1 f) (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) into (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- f n))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (- f n))) into (cbrt (/ 1 (- f n))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) into (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) into (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) in n * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) into (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) in f * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) into (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) in f * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) into (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) in n * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) into (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) into (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) into (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) in n * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) in f * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) in f * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) in n * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) into (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) into (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) into (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]backup-simplify: Simplify (cube (* (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))))) into (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in n * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) into (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) into (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) into (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ f n))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (+ n f))) into (cbrt (- (+ n f))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 f) (/ 1 n)))) into (cbrt (- (+ (/ 1 f) (/ 1 n)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 f) (/ 1 n))) in n * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (cbrt (+ (/ 1 f) (/ 1 n))) * * * [misc]progress: tayloring alt 9 of 9 * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in n * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ f n)) (- f n)))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 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]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 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]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 f))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (sqr f))) * [misc]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 (sqr f)))) (+ (* 0 (* 2 (/ 1 f))) (* 0 1))) into (- (* 2 (/ 1 (sqr f)))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (sqr f)))) into (- (* 2 (/ 1 (sqr f)))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (/ 1 (sqr f)))) (sqr (* n 1))) (+ (* (- (* 2 (/ 1 f))) (* n 1)) -1)) into (- (+ 1 (+ (* 2 (/ n f)) (* 2 (/ (sqr n) (sqr f)))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) 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]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* 2 (/ 1 f)) into (/ 2 f) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (sqr f)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (sqr f))))) (+ (* 0 (- (* 2 (/ 1 f)))) (* 0 -1))) into (* 2 (/ 1 (sqr f))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr f))) into (/ 2 (sqr f)) * [misc]backup-simplify: Simplify (+ (* (/ 2 (sqr f)) (sqr (* (/ 1 n) 1))) (+ (* (/ 2 f) (* (/ 1 n) 1)) 1)) into (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) (+ (* 2 (/ 1 (* n f))) 1)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]backup-simplify: Simplify (cube (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* 2 (/ 1 f)) into (/ 2 f) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) 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 (sqr f))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr f))) into (/ 2 (sqr f)) * [misc]backup-simplify: Simplify (+ (* (/ 2 (sqr f)) (sqr (* (/ 1 (- n)) 1))) (+ (* (/ 2 f) (* (/ 1 (- n)) 1)) 1)) into (- (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) 1) (* 2 (/ 1 (* n f)))) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (sqr n))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (sqr n))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (sqr n)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (sqr n)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (sqr n))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr n)) in n * [misc]taylor: Taking taylor expansion of (sqr 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (sqr n)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (cbrt (/ (- (+ f n)) (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ f n)) (- f n))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ (+ n f) (- f n)))) in n * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- f n)))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- f n)))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ n f) (- f n)))) into (cbrt (* -1 (/ (+ n f) (- f n)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]backup-simplify: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) into (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 1 of 90 * [enter]simplify: Simplifying (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (- f n)))) * * * [misc]progress: simplifying alt 2 of 90 * [enter]simplify: Simplifying (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) * [misc]none: prog is (λ (f n) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) * * * [misc]progress: simplifying alt 3 of 90 * [enter]simplify: Simplifying (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 4 of 90 * [enter]simplify: Simplifying (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (- f n)))) * * * [misc]progress: simplifying alt 5 of 90 * [enter]simplify: Simplifying (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) * [misc]none: prog is (λ (f n) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) * * * [misc]progress: simplifying alt 6 of 90 * [enter]simplify: Simplifying (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 7 of 90 * [enter]simplify: Simplifying (log1p (expm1 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]none: prog is (λ (f n) 1) * * * [misc]progress: simplifying alt 8 of 90 * [enter]simplify: Simplifying (log1p (expm1 -1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 9 of 90 * [enter]simplify: Simplifying (log1p (expm1 -1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 10 of 90 * [enter]simplify: Simplifying (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (- f n)))) * * * [misc]progress: simplifying alt 11 of 90 * [enter]simplify: Simplifying (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) * [misc]none: prog is (λ (f n) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) * * * [misc]progress: simplifying alt 12 of 90 * [enter]simplify: Simplifying (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 13 of 90 * [enter]simplify: Simplifying (expm1 (log1p 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]none: prog is (λ (f n) 1) * * * [misc]progress: simplifying alt 14 of 90 * [enter]simplify: Simplifying (expm1 (log1p -1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 15 of 90 * [enter]simplify: Simplifying (expm1 (log1p -1)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 16 of 90 * [enter]simplify: Simplifying (expm1 (log1p (* -1 (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (- f n)))) * * * [misc]progress: simplifying alt 17 of 90 * [enter]simplify: Simplifying (expm1 (log1p (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) * [misc]none: prog is (λ (f n) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) * * * [misc]progress: simplifying alt 18 of 90 * [enter]simplify: Simplifying (expm1 (log1p (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 19 of 90 * [enter]simplify: Simplifying (- (+ (/ (* n (fma (+ n f) n (sqr f))) (- (cube f) (cube n))) (/ (* f (fma (+ n f) n (sqr f))) (- (cube f) (cube n))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ (/ (* (- n) (fma (+ n f) n (* f f))) (- (cube f) (cube n))) (* (/ (- f) (- (cube f) (cube n))) (fma (+ n f) n (* f f)))) * [misc]none: prog is (λ (f n) (+ (/ (* (- n) (fma (+ n f) n (* f f))) (- (cube f) (cube n))) (* (/ (- f) (- (cube f) (cube n))) (fma (+ n f) n (* f f))))) * * * [misc]progress: simplifying alt 20 of 90 * [enter]simplify: Simplifying (- (+ (/ (* n (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))) (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ (* f (fma (+ (/ 1 f) (/ 1 n)) (/ 1 n) (/ 1 (sqr f)))) (- (cube (/ 1 f)) (cube (/ 1 n)))))) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (+ (/ (- f) (/ (- (cube (/ 1 f)) (/ 1 (cube n))) (fma (+ (/ 1 n) (/ 1 f)) (/ 1 n) (* (/ 1 f) (/ 1 f))))) (* (/ n (- (cube (/ 1 f)) (/ 1 (cube n)))) (- (fma (+ (/ 1 n) (/ 1 f)) (/ 1 n) (* (/ 1 f) (/ 1 f)))))) * [misc]none: prog is (λ (f n) (+ (/ (- f) (/ (- (cube (/ 1 f)) (/ 1 (cube n))) (fma (+ (/ 1 n) (/ 1 f)) (/ 1 n) (* (/ 1 f) (/ 1 f))))) (* (/ n (- (cube (/ 1 f)) (/ 1 (cube n)))) (- (fma (+ (/ 1 n) (/ 1 f)) (/ 1 n) (* (/ 1 f) (/ 1 f))))))) * * * [misc]progress: simplifying alt 21 of 90 * [enter]simplify: Simplifying (- (+ (/ (* f (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ (* n (fma (- (+ (/ 1 f) (/ 1 n))) (/ -1 n) (/ 1 (sqr f)))) (- (cube (/ -1 f)) (cube (/ -1 n)))))) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (+ (* (/ (- f) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (- (+ (/ 1 n) (/ 1 f))) (/ -1 n) (/ 1 (sqr f)))) (* (/ (- n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (- (+ (/ 1 n) (/ 1 f))) (/ -1 n) (/ 1 (sqr f))))) * [misc]none: prog is (λ (f n) (+ (* (/ (- f) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (- (+ (/ 1 n) (/ 1 f))) (/ -1 n) (/ 1 (sqr f)))) (* (/ (- n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (- (+ (/ 1 n) (/ 1 f))) (/ -1 n) (/ 1 (sqr f)))))) * * * [misc]progress: simplifying alt 22 of 90 * [enter]simplify: Simplifying (* (- (+ (/ f (- (cube f) (cube n))) (/ n (- (cube f) (cube n))))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (+ (/ n (- (cube f) (cube n))) (/ f (- (cube f) (cube n)))) (- (fma (+ f n) n (sqr f)))) * [misc]none: prog is (λ (f n) (* (+ (/ n (- (cube f) (cube n))) (/ f (- (cube f) (cube n)))) (- (fma (+ f n) n (sqr f))))) * * * [misc]progress: simplifying alt 23 of 90 * [enter]simplify: Simplifying (* (- (+ (/ f (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ n (- (cube (/ 1 f)) (cube (/ 1 n)))))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (fma (fma (+ n f) n (sqr f)) (/ (- f) (- (/ 1 (cube f)) (/ 1 (cube n)))) (/ (* (- n) (fma (+ n f) n (sqr f))) (- (/ 1 (cube f)) (/ 1 (cube n))))) * [misc]none: prog is (λ (f n) (fma (fma (+ n f) n (sqr f)) (/ (- f) (- (/ 1 (cube f)) (/ 1 (cube n)))) (/ (* (- n) (fma (+ n f) n (sqr f))) (- (/ 1 (cube f)) (/ 1 (cube n)))))) * * * [misc]progress: simplifying alt 24 of 90 * [enter]simplify: Simplifying (* (- (+ (/ n (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ f (- (cube (/ -1 f)) (cube (/ -1 n)))))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (fma (/ (- n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (+ n f) n (* f f)) (/ (* (- f) (fma (+ n f) n (* f f))) (- (cube (/ -1 f)) (cube (/ -1 n))))) * [misc]none: prog is (λ (f n) (fma (/ (- n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (+ n f) n (* f f)) (/ (* (- f) (fma (+ n f) n (* f f))) (- (cube (/ -1 f)) (cube (/ -1 n)))))) * * * [misc]progress: simplifying alt 25 of 90 * [enter]simplify: Simplifying (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) * [misc]none: prog is (λ (f n) (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f)))) * * * [misc]progress: simplifying alt 26 of 90 * [enter]simplify: Simplifying (* (/ (- (+ f n)) (- (cube (/ 1 f)) (cube (/ 1 n)))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (* (fma (+ f n) n (sqr f)) (- (+ f n))) (- (/ 1 (cube f)) (/ 1 (cube n)))) * [misc]none: prog is (λ (f n) (/ (* (fma (+ f n) n (sqr f)) (- (+ f n))) (- (/ 1 (cube f)) (/ 1 (cube n))))) * * * [misc]progress: simplifying alt 27 of 90 * [enter]simplify: Simplifying (* (/ (- (+ f n)) (- (cube (/ -1 f)) (cube (/ -1 n)))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (* (fma (+ f n) n (sqr f)) (- (+ f n))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]none: prog is (λ (f n) (/ (* (fma (+ f n) n (sqr f)) (- (+ f n))) (- (cube (/ -1 f)) (cube (/ -1 n))))) * * * [misc]progress: simplifying alt 28 of 90 * [enter]simplify: Simplifying (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f))) * [misc]none: prog is (λ (f n) (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (+ f n) n (sqr f)))) * * * [misc]progress: simplifying alt 29 of 90 * [enter]simplify: Simplifying (* (/ (- (+ f n)) (- (cube (/ 1 f)) (cube n))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (* (- (+ f n)) (fma (+ f n) n (sqr f))) (- (cube (/ 1 f)) (cube n))) * [misc]none: prog is (λ (f n) (/ (* (- (+ f n)) (fma (+ f n) n (sqr f))) (- (cube (/ 1 f)) (cube n)))) * * * [misc]progress: simplifying alt 30 of 90 * [enter]simplify: Simplifying (* (/ (- (+ f n)) (- (cube (/ -1 f)) (cube n))) (fma (+ f n) n (sqr f))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* (- (+ f n)) (fma (+ f n) n (sqr f))) (- (cube (/ -1 f)) (cube n))) * [misc]none: prog is (λ (f n) (/ (* (- (+ f n)) (fma (+ f n) n (sqr f))) (- (cube (/ -1 f)) (cube n)))) * * * [misc]progress: simplifying alt 31 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) (cbrt (fma n (+ n f) (sqr f))))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma n (+ f n) (sqr f))) * [misc]none: prog is (λ (f n) (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma n (+ f n) (sqr f)))) * * * [misc]progress: simplifying alt 32 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) (cbrt (fma (/ 1 n) (+ (/ 1 f) (/ 1 n)) (/ 1 (sqr f)))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (/ 1 n) (+ (/ 1 n) (/ 1 f)) (/ 1 (sqr f)))) * [misc]none: prog is (λ (f n) (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (/ 1 n) (+ (/ 1 n) (/ 1 f)) (/ 1 (sqr f))))) * * * [misc]progress: simplifying alt 33 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) (cbrt (fma (/ -1 n) (- (+ (/ 1 f) (/ 1 n))) (/ 1 (sqr f)))))) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (/ -1 n) (- (+ (/ 1 n) (/ 1 f))) (/ 1 (sqr f)))) * [misc]none: prog is (λ (f n) (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma (/ -1 n) (- (+ (/ 1 n) (/ 1 f))) (/ 1 (sqr f))))) * * * [misc]progress: simplifying alt 34 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (* -1 (/ (+ n f) (- (cube f) (cube n))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma n (+ f n) (* f f))) * [misc]none: prog is (λ (f n) (* (/ (- (+ f n)) (- (cube f) (cube n))) (fma n (+ f n) (* f f)))) * * * [misc]progress: simplifying alt 35 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ 1 f)) (cube (/ 1 n)))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (* (fma n (+ n f) (* f f)) (- (+ (/ 1 n) (/ 1 f)))) (- (cube (/ 1 f)) (cube (/ 1 n)))) * [misc]none: prog is (λ (f n) (/ (* (fma n (+ n f) (* f f)) (- (+ (/ 1 n) (/ 1 f)))) (- (cube (/ 1 f)) (cube (/ 1 n))))) * * * [misc]progress: simplifying alt 36 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (fma n (+ f n) (* f f)) (+ (/ 1 n) (/ 1 f))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]none: prog is (λ (f n) (/ (* (fma n (+ f n) (* f f)) (+ (/ 1 n) (/ 1 f))) (- (cube (/ -1 f)) (cube (/ -1 n))))) * * * [misc]progress: simplifying alt 37 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ (/ f (- (cube f) (cube n))) (/ n (- (cube f) (cube n)))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (+ (/ (- f) (- (cube f) (cube n))) (/ (- n) (- (cube f) (cube n)))) (fma n (+ f n) (sqr f))) * [misc]none: prog is (λ (f n) (* (+ (/ (- f) (- (cube f) (cube n))) (/ (- n) (- (cube f) (cube n)))) (fma n (+ f n) (sqr f)))) * * * [misc]progress: simplifying alt 38 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ (/ f (- (cube (/ 1 f)) (cube (/ 1 n)))) (/ n (- (cube (/ 1 f)) (cube (/ 1 n))))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (+ (/ (- f) (- (/ 1 (cube f)) (cube (/ 1 n)))) (/ (- n) (- (/ 1 (cube f)) (cube (/ 1 n))))) (fma n (+ n f) (sqr f))) * [misc]none: prog is (λ (f n) (* (+ (/ (- f) (- (/ 1 (cube f)) (cube (/ 1 n)))) (/ (- n) (- (/ 1 (cube f)) (cube (/ 1 n))))) (fma n (+ n f) (sqr f)))) * * * [misc]progress: simplifying alt 39 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ (/ n (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ f (- (cube (/ -1 f)) (cube (/ -1 n))))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (fma n (+ n f) (* f f)) (+ (/ (- n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ (- f) (- (cube (/ -1 f)) (cube (/ -1 n)))))) * [misc]none: prog is (λ (f n) (* (fma n (+ n f) (* f f)) (+ (/ (- n) (- (cube (/ -1 f)) (cube (/ -1 n)))) (/ (- f) (- (cube (/ -1 f)) (cube (/ -1 n))))))) * * * [misc]progress: simplifying alt 40 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (- (+ f n)) (- (cube f) (cube n)))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (fma n (+ f n) (sqr f)) (/ (- (+ f n)) (- (cube f) (cube n)))) * [misc]none: prog is (λ (f n) (* (fma n (+ f n) (sqr f)) (/ (- (+ f n)) (- (cube f) (cube n))))) * * * [misc]progress: simplifying alt 41 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (- (+ f n)) (- (cube (/ 1 f)) (cube (/ 1 n))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (* (fma n (+ f n) (sqr f)) (- (+ f n))) (- (/ 1 (cube f)) (cube (/ 1 n)))) * [misc]none: prog is (λ (f n) (/ (* (fma n (+ f n) (sqr f)) (- (+ f n))) (- (/ 1 (cube f)) (cube (/ 1 n))))) * * * [misc]progress: simplifying alt 42 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (/ (- (+ f n)) (- (cube (/ -1 f)) (cube (/ -1 n))))) (cbrt (fma n (+ f n) (sqr f))))) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (* (fma n (+ f n) (sqr f)) (- (+ f n))) (- (cube (/ -1 f)) (cube (/ -1 n)))) * [misc]none: prog is (λ (f n) (/ (* (fma n (+ f n) (sqr f)) (- (+ f n))) (- (cube (/ -1 f)) (cube (/ -1 n))))) * * * [misc]progress: simplifying alt 43 of 90 * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]none: prog is (λ (f n) 1) * * * [misc]progress: simplifying alt 44 of 90 * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 45 of 90 * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 46 of 90 * [enter]simplify: Simplifying (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (/ (- f n) 1))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (/ (- f n) 1)))) * * * [misc]progress: simplifying alt 47 of 90 * [enter]simplify: Simplifying (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (/ (- f n) 1))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (/ (- f n) 1)))) * * * [misc]progress: simplifying alt 48 of 90 * [enter]simplify: Simplifying (/ (- (- (sqr f) (sqr n))) (* (- f n) (- f n))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (/ (- f n) 1))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (/ (- f n) 1)))) * * * [misc]progress: simplifying alt 49 of 90 * [enter]simplify: Simplifying (/ (- (- (sqr f) (sqr n))) (- (+ (sqr n) (sqr f)) (* 2 (* n f)))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n))) * [misc]none: prog is (λ (f n) (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n)))) * * * [misc]progress: simplifying alt 50 of 90 * [enter]simplify: Simplifying (/ (- (- (sqr f) (sqr n))) (- (+ (sqr n) (sqr f)) (* 2 (* n f)))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n))) * [misc]none: prog is (λ (f n) (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n)))) * * * [misc]progress: simplifying alt 51 of 90 * [enter]simplify: Simplifying (/ (- (- (sqr f) (sqr n))) (- (+ (sqr n) (sqr f)) (* 2 (* n f)))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n))) * [misc]none: prog is (λ (f n) (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n)))) * * * [misc]progress: simplifying alt 52 of 90 * [enter]simplify: Simplifying (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1)) * [misc]none: prog is (λ (f n) (fma (fma (/ n f) (/ n f) (/ n f)) (- 2) (- 1))) * * * [misc]progress: simplifying alt 53 of 90 * [enter]simplify: Simplifying (fma (fma (/ f n) (/ f n) (/ f n)) (- 2) (- 1)) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (fma (fma (/ f n) (/ f n) (/ f n)) (- 2) (- 1)) * [misc]none: prog is (λ (f n) (fma (fma (/ f n) (/ f n) (/ f n)) (- 2) (- 1))) * * * [misc]progress: simplifying alt 54 of 90 * [enter]simplify: Simplifying (fma (fma (/ f n) (/ f n) (/ f n)) (- 2) (- 1)) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (fma (fma (/ f n) (/ f n) (/ f n)) (- 2) (- 1)) * [misc]none: prog is (λ (f n) (fma (fma (/ f n) (/ f n) (/ f n)) (- 2) (- 1))) * * * [misc]progress: simplifying alt 55 of 90 * [enter]simplify: Simplifying (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1) * [misc]none: prog is (λ (f n) (fma (fma (/ n f) (/ n f) (/ n f)) -2 -1)) * * * [misc]progress: simplifying alt 56 of 90 * [enter]simplify: Simplifying (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]none: prog is (λ (f n) (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1)) * * * [misc]progress: simplifying alt 57 of 90 * [enter]simplify: Simplifying (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1) * [misc]none: prog is (λ (f n) (fma (fma (/ f n) (/ f n) (/ f n)) -2 -1)) * * * [misc]progress: simplifying alt 58 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (- (+ n f)) (- f n)) * [misc]none: prog is (λ (f n) (/ (- (+ n f)) (- f n))) * * * [misc]progress: simplifying alt 59 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) * [misc]none: prog is (λ (f n) (- (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) * * * [misc]progress: simplifying alt 60 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 61 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (- (+ n f)) (- f n)) * [misc]none: prog is (λ (f n) (/ (- (+ n f)) (- f n))) * * * [misc]progress: simplifying alt 62 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- f n)))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ (+ (/ 1 n) (/ 1 f)) (- f n))) * [misc]none: prog is (λ (f n) (- (/ (+ (/ 1 n) (/ 1 f)) (- f n)))) * * * [misc]progress: simplifying alt 63 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- f n)))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- f n)) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- f n))) * * * [misc]progress: simplifying alt 64 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ f n))) (cbrt (- f n)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (- (+ f n)) (- f n)) * [misc]none: prog is (λ (f n) (/ (- (+ f n)) (- f n))) * * * [misc]progress: simplifying alt 65 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ f n))) (cbrt (- (/ 1 f) (/ 1 n))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (/ 1 f) (/ 1 n))) * [misc]none: prog is (λ (f n) (/ (- (+ f n)) (- (/ 1 f) (/ 1 n)))) * * * [misc]progress: simplifying alt 66 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ f n))) (cbrt (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (+ f n)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (- (+ f n)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 67 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ n f))) (cbrt (- f n)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (- (+ n f)) (- f n)) * [misc]none: prog is (λ (f n) (/ (- (+ n f)) (- f n))) * * * [misc]progress: simplifying alt 68 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) * [misc]none: prog is (λ (f n) (- (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) * * * [misc]progress: simplifying alt 69 of 90 * [enter]simplify: Simplifying (cube (/ (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 70 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- (+ n f)) (/ 1 (- f n))) * [misc]none: prog is (λ (f n) (* (- (+ n f)) (/ 1 (- f n)))) * * * [misc]progress: simplifying alt 71 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- (+ (/ 1 n) (/ 1 f))) (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]none: prog is (λ (f n) (* (- (+ (/ 1 n) (/ 1 f))) (/ 1 (- (/ 1 f) (/ 1 n))))) * * * [misc]progress: simplifying alt 72 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* 1 (+ (/ 1 n) (/ 1 f))) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (* 1 (+ (/ 1 n) (/ 1 f))) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 73 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- f n))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- (+ f n)) (/ 1 (- f n))) * [misc]none: prog is (λ (f n) (* (- (+ f n)) (/ 1 (- f n)))) * * * [misc]progress: simplifying alt 74 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (- (+ f n)) (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]none: prog is (λ (f n) (* (- (+ f n)) (/ 1 (- (/ 1 f) (/ 1 n))))) * * * [misc]progress: simplifying alt 75 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ f n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (- (+ f n)) (/ 1 (- (/ 1 n) (/ 1 f)))) * [misc]none: prog is (λ (f n) (* (- (+ f n)) (/ 1 (- (/ 1 n) (/ 1 f))))) * * * [misc]progress: simplifying alt 76 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- (+ n f)) (/ 1 (- f n))) * [misc]none: prog is (λ (f n) (* (- (+ n f)) (/ 1 (- f n)))) * * * [misc]progress: simplifying alt 77 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- (+ (/ 1 n) (/ 1 f))) (/ 1 (- (/ 1 f) (/ 1 n)))) * [misc]none: prog is (λ (f n) (* (- (+ (/ 1 n) (/ 1 f))) (/ 1 (- (/ 1 f) (/ 1 n))))) * * * [misc]progress: simplifying alt 78 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- (/ 1 n) (/ 1 f)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* 1 (+ (/ 1 n) (/ 1 f))) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (* 1 (+ (/ 1 n) (/ 1 f))) (- (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 79 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ n f))) (cbrt (/ 1 (- f n))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- (+ n f)) (/ 1 (- f n))) * [misc]none: prog is (λ (f n) (* (- (+ n f)) (/ 1 (- f n)))) * * * [misc]progress: simplifying alt 80 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (- (+ (/ 1 f) (/ 1 n)))) (cbrt (/ 1 (- f n))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- (+ (/ 1 n) (/ 1 f))) (/ 1 (- f n))) * [misc]none: prog is (λ (f n) (* (- (+ (/ 1 n) (/ 1 f))) (/ 1 (- f n)))) * * * [misc]progress: simplifying alt 81 of 90 * [enter]simplify: Simplifying (cube (* (cbrt (+ (/ 1 f) (/ 1 n))) (cbrt (/ 1 (- f n))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (/ 1 (- f n)) (+ (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (* (/ 1 (- f n)) (+ (/ 1 n) (/ 1 f)))) * * * [misc]progress: simplifying alt 82 of 90 * [enter]simplify: Simplifying (- (+ 1 (+ (* 2 (/ n f)) (* 2 (/ (sqr n) (sqr f)))))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (fma (fma (/ n f) (/ n f) (/ n f)) 2 1)) * [misc]none: prog is (λ (f n) (- (fma (fma (/ n f) (/ n f) (/ n f)) 2 1))) * * * [misc]progress: simplifying alt 83 of 90 * [enter]simplify: Simplifying (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) (+ (* 2 (/ 1 (* n f))) 1)) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (/ (/ 2 f) f) (/ 1 (* n n)) (+ (/ (/ 2 f) n) 1)) * [misc]none: prog is (λ (f n) (fma (/ (/ 2 f) f) (/ 1 (* n n)) (+ (/ (/ 2 f) n) 1))) * * * [misc]progress: simplifying alt 84 of 90 * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (* (sqr n) (sqr f)))) 1) (* 2 (/ 1 (* n f)))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (/ 2 (* (* n n) (* f f))) (- 1 (/ 2 (* f n)))) * [misc]none: prog is (λ (f n) (+ (/ 2 (* (* n n) (* f f))) (- 1 (/ 2 (* f n))))) * * * [misc]progress: simplifying alt 85 of 90 * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [misc]none: prog is (λ (f n) 1) * * * [misc]progress: simplifying alt 86 of 90 * [enter]simplify: Simplifying (cube (cbrt -1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 87 of 90 * [enter]simplify: Simplifying (cube (cbrt -1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]none: prog is (λ (f n) -1) * * * [misc]progress: simplifying alt 88 of 90 * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * [misc]none: prog is (λ (f n) (- (/ (+ f n) (- f n)))) * * * [misc]progress: simplifying alt 89 of 90 * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n))) * [misc]none: prog is (λ (f n) (/ (- (+ (/ 1 n) (/ 1 f))) (- (/ 1 f) (/ 1 n)))) * * * [misc]progress: simplifying alt 90 of 90 * [enter]simplify: Simplifying (cube (cbrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f))) * [misc]none: prog is (λ (f n) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 n) (/ 1 f)))) * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (expm1 (/ (- (+ f n)) (- 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 (expm1 (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (expm1 (- (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (log1p (/ (- (+ f n)) (- 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 (log1p (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (log1p (- (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [exit]simplify: Simplified to (+ f n) * [enter]simplify: Simplifying (sqr f) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr f) * [exit]simplify: Simplified to (sqr f) * [enter]simplify: Simplifying (fma n (+ f n) (sqr f)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (fma n (+ n f) (* f f)) * [exit]simplify: Simplified to (fma n (+ n f) (* f f)) * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [enter]simplify: Simplifying (fma (/ n f) (/ n f) (/ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (fma (/ n f) (/ n f) (/ n f)) * [exit]simplify: Simplified to (fma (/ n f) (/ n f) (/ n f)) * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (/ (* (- (- f n)) (+ f n)) (fma f (- f (* 2 n)) (* n n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (* (+ f n) (- (- f n))) (fma f (- f (* 2 n)) (* n n))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (+ f n))) (cbrt (- f n))) * [exit]simplify: Simplified to (/ (cbrt (- (+ f n))) (cbrt (- f n))) * [enter]simplify: Simplifying (cbrt (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (+ f n))) * [exit]simplify: Simplified to (cbrt (- (+ f n))) * [enter]simplify: Simplifying (cbrt (/ 1 (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- f n))) * [exit]simplify: Simplified to (cbrt (/ 1 (- f n))) * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- 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 (cbrt (- (/ (+ f n) (- f n)))) * [exit]simplify: Simplified to (cbrt (- (/ (+ f n) (- f n))))