* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ f n)) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (pow n 2))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ f n))) (log (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (log (- (- n) f)) (log (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (exp (- (log (- (- n) f)) (log (- f n))))) * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 0 (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (- f) n)) (- f n)))) * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (- n) f)) (cbrt (- f n))))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (- n) f)) (sqrt (- f n))))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (- n) f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (sqrt (- (- n) f)) (/ (sqrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (sqrt (- (- n) f)) (/ (sqrt (- (- f) n)) (- f n)))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* 1 (/ (- (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* 1 (- (/ (+ n f) (- f n))))) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* -1 (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* -1 (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ n f)) (sqrt (- f n))) (- (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (/ (cbrt (+ n f)) (sqrt (- f n))) (- (cbrt (+ n f)))) (/ (cbrt (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))))) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))))) * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))) * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (sqrt (+ n f))) (/ (sqrt (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)))) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ (- 1) (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))))) * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- 1) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))) * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- 1) (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (- 1) (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))))) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- (cbrt (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))))) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))))) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ n f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (sqrt (+ n f)) (/ (- (sqrt (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)))) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))))) * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))))) * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* 1 (/ (- (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* 1 (- (/ (+ n f) (- f n))))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n)))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ (- (+ f n)) 1) (- f n))) * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (- f n) (cbrt (- (+ f n)))))) * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (- f) n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (sqrt (- (- f) n)) (/ (- f n) (sqrt (- (+ f n)))))) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ f n))))) * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (- (sqrt (+ n f))) (/ (- f n) (sqrt (+ f n))))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (- 1) (/ (- f n) (+ f n)))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ f n)) (cbrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (- (cbrt (+ f n)))))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ n f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (sqrt (+ n f)) (/ (- f n) (- (sqrt (+ f n)))))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n)))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (+ f n)) (- (* f f) (* n n))) (+ n f))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (* (- f) (* f f)) (* (- n) (* n n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (+ (* (- f) (* f f)) (* (- n) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (- n f) (+ f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (- n f) (+ f n)) (* (- f n) (- f n)))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2) to (λ (f n) 1) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2) to (λ (f n) -1) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2) to (λ (f n) -1) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (pow n 2))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in n * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in f * [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]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in f * [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]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of E in n * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify E into E * [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]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ E 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 (/ E n) in n * [misc]taylor: Taking taylor expansion of E in n * [misc]backup-simplify: Simplify E into E * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ E 1) into E * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 E)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 4 in n * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ E (pow n 2)) in n * [misc]taylor: Taking taylor expansion of E in n * [misc]backup-simplify: Simplify E into E * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ E 1) into E * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (pow n 2))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 22/3 in n * [misc]backup-simplify: Simplify 22/3 into 22/3 * [misc]taylor: Taking taylor expansion of (/ E (pow n 3)) in n * [misc]taylor: Taking taylor expansion of E in n * [misc]backup-simplify: Simplify E into E * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ E 1) into E * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify E into E * [misc]approximate: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in n * [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]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -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]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) * [misc]taylor: Taking taylor expansion of (* -2 (/ (exp -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 (/ (exp -1) n) in n * [misc]taylor: Taking taylor expansion of (exp -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp -1) 1) into (exp -1) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2/3 in n * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp -1) 1) into (exp -1) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]approximate: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [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]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (exp -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (exp -1) into (exp -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]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) * [misc]taylor: Taking taylor expansion of (* -2 (/ (exp -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 (/ (exp -1) n) in n * [misc]taylor: Taking taylor expansion of (exp -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp -1) 1) into (exp -1) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2/3 in n * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp -1) 1) into (exp -1) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp -1) into (exp -1) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (exp (/ (- (+ f n)) (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ f n)) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in n * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -1)) into -1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ f n)) (- f n)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in f * [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]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ f n)) (- f n)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ f n)) (- f n))) in f * [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]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) 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]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) * [misc]taylor: Taking taylor expansion of (/ 2 n) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (pow n 2))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) * [misc]taylor: Taking taylor expansion of (/ 2 (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 (pow n 3) in n * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in n * [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]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -1)) into -1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -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]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) * [misc]taylor: Taking taylor expansion of (/ -2 n) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ -2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) * [misc]taylor: Taking taylor expansion of (/ -2 (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 (pow n 3) in n * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [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]backup-simplify: Simplify (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -1)) into -1 * [misc]taylor: Taking taylor expansion of (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [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]backup-simplify: Simplify (exp -1) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -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]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) * [misc]taylor: Taking taylor expansion of (/ -2 n) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ -2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -2 in n * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* -2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) * [misc]taylor: Taking taylor expansion of (/ -2 (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 (pow n 3) in n * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ f n))) (log (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (log (- (- n) f)) (log (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (exp (- (log (- (- n) f)) (log (- f n))))))) * * * * [misc]progress: [ 3 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 6 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (- 0 (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 11 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (* (/ (cbrt (- (- f) n)) (cbrt (- f n))) (/ (cbrt (- (- f) n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 12 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (- n) f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 13 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (- f) n)) (- f n)))))) * * * * [misc]progress: [ 14 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (- n) f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 15 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (- n) f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 16 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (sqrt (- (- n) f)) (/ (sqrt (- (+ f n))) (- f n)))))) * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (sqrt (- (- n) f)) (/ (sqrt (- (- f) n)) (- f n)))))) * * * * [misc]progress: [ 17 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))))))) * * * * [misc]progress: [ 18 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))))))) * * * * [misc]progress: [ 19 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* 1 (/ (- (+ f n)) (- f n)))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* 1 (- (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 20 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))))))) * * * * [misc]progress: [ 21 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))))) * * * * [misc]progress: [ 22 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* -1 (/ (+ f n) (- f n)))))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* -1 (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 23 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 24 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ n f)) (sqrt (- f n))) (- (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (* (/ (cbrt (+ n f)) (sqrt (- f n))) (- (cbrt (+ n f)))) (/ (cbrt (+ f n)) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 25 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ f n)) (- f n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)))))) * * * * [misc]progress: [ 26 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 27 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 28 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (- (sqrt (+ n f))) (/ (sqrt (+ f n)) (- f n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)))))) * * * * [misc]progress: [ 29 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (/ (- 1) (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))))))) * * * * [misc]progress: [ 30 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- 1) (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))))) * * * * [misc]progress: [ 31 / 167 ] 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) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (- 1) (/ (+ f n) (- f n)))))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (- 1) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 32 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 33 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- (cbrt (+ f n))) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))))))) * * * * [misc]progress: [ 34 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ f n))) (- f n)))))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)))))) * * * * [misc]progress: [ 35 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 36 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (sqrt (+ f n)) (sqrt (- f n))) (- (/ (sqrt (+ n f)) (sqrt (- f n)))))))) * * * * [misc]progress: [ 37 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (sqrt (+ n f)) (/ (- (sqrt (+ f n))) (- f n)))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)))))) * * * * [misc]progress: [ 38 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (cbrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (cbrt (- f n))))))) * * * * [misc]progress: [ 39 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))))))) * * * * [misc]progress: [ 40 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (* 1 (/ (- (+ f n)) (- f n)))))) * [enter]simplify: Simplifying (/ (- (+ f n)) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* 1 (- (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 41 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (- (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 45 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (/ (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n)))))) * * * * [misc]progress: [ 46 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))))) * * * * [misc]progress: [ 47 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (/ (/ (- (+ f n)) 1) (- f n))))) * * * * [misc]progress: [ 48 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (- f n) (cbrt (- (+ f n)))))))) * * * * [misc]progress: [ 49 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (- f) n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (sqrt (- (- f) n)) (/ (- f n) (sqrt (- (+ f n)))))))) * * * * [misc]progress: [ 50 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ f n))))))) * * * * [misc]progress: [ 53 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (- (sqrt (+ n f))) (/ (- f n) (sqrt (+ f n))))))) * * * * [misc]progress: [ 54 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (- 1) (/ (- f n) (+ f n)))))) * * * * [misc]progress: [ 55 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ f n)) (cbrt (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- f n) (- (cbrt (+ f n)))))))) * * * * [misc]progress: [ 56 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (sqrt (+ n f)) (/ (- f n) (- (sqrt (+ f n)))))))) * * * * [misc]progress: [ 57 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n)))))) * * * * [misc]progress: [ 59 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (log (exp (* (/ (- (+ f n)) (- (* f f) (* n n))) (+ n f))))) * * * * [misc]progress: [ 60 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (* (- f) (* f f)) (* (- n) (* n n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (+ (* (- f) (* f f)) (* (- n) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))))))) * * * * [misc]progress: [ 61 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (- n f) (+ f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (log (exp (/ (* (- n f) (+ f n)) (* (- f n) (- f n)))))) * * * * [misc]progress: [ 62 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n))))) (cbrt (/ (- (+ f n)) (- f n)))))) * * * * [misc]progress: [ 64 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- (+ f n)) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (sqrt (- (/ (+ n f) (- f n))))) (sqrt (/ (- (+ f n)) (- f n)))))) * * * * [misc]progress: [ 65 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (exp (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 66 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (10 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 (exp (* (cbrt (- (+ n f))) (/ (cbrt (- (+ n f))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (cbrt (- (+ n f))) (/ (cbrt (- (+ n f))) (sqrt (- f n))))) (/ (cbrt (- (+ f n))) (sqrt (- f n)))))) * * * * [misc]progress: [ 67 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (- (- f) n)) (cbrt (- (- f) n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (cbrt (- (- f) n)) (cbrt (- (- f) n)))) (/ (cbrt (- (+ f n))) (- f n))))) * * * * [misc]progress: [ 68 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (- (+ f n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 69 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (sqrt (- (- n) f)) (sqrt (- f n)))) (/ (sqrt (- (+ f n))) (sqrt (- f n)))))) * * * * [misc]progress: [ 70 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (- (+ f n))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (sqrt (- (+ n f)))) (/ (sqrt (- (+ f n))) (- f n))))) * * * * [misc]progress: [ 71 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* (cbrt (- f n)) (cbrt (- 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 (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 72 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ 1 (sqrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 73 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow E (/ (- (+ f n)) (- f n))))) * * * * [misc]progress: [ 74 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ -1 (* (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 (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (/ -1 (cbrt (- f n))) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n)))))) * * * * [misc]progress: [ 75 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ -1 (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (exp (/ -1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ -1 (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))))) * * * * [misc]progress: [ 76 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ -1 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp -1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp -1) (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 77 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (pow (exp (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (pow (exp (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 78 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (/ (- (cbrt (+ n f))) (/ (sqrt (- f n)) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (- (cbrt (+ n f))) (/ (sqrt (- f n)) (cbrt (+ n f))))) (/ (cbrt (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 79 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (exp (cbrt (+ n f))) (- (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (pow (exp (cbrt (+ n f))) (- (cbrt (+ n f)))) (/ (cbrt (+ f n)) (- f n))))) * * * * [misc]progress: [ 80 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (exp (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 81 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (- (/ (sqrt (+ n f)) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (- (/ (sqrt (+ n f)) (sqrt (- f n))))) (/ (sqrt (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 82 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqrt (+ f n))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (- (sqrt (+ n f)))) (/ (sqrt (+ f n)) (- f n))))) * * * * [misc]progress: [ 83 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (cbrt (- f n)))))) * * * * [misc]progress: [ 84 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (/ (- 1) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (- 1) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))))) * * * * [misc]progress: [ 85 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ 1 E) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (/ 1 E) (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 86 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (exp (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (- (cbrt (+ f n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 87 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f)))) (/ (- (cbrt (+ f n))) (sqrt (- f n)))))) * * * * [misc]progress: [ 88 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- (cbrt (+ f n))) (- f n))))) * * * * [misc]progress: [ 89 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 90 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n)))))) * * * * [misc]progress: [ 91 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (+ f n)) 1)) * * [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 (exp (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (sqrt (+ n f))) (/ (- (sqrt (+ f n))) (- f n))))) * * * * [misc]progress: [ 92 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* (cbrt (- f n)) (cbrt (- 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 (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 93 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ 1 (sqrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 94 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow E (/ (- (+ f n)) (- f n))))) * * * * [misc]progress: [ 95 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow E (/ (- (+ f n)) (- f n))))) * * * * [misc]progress: [ 96 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (- n) f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (- (- n) f)) (/ 1 (- f n))))) * * * * [misc]progress: [ 97 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (exp (/ (- (- n) f) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (- (- n) f) (- (pow f 3) (pow n 3)))) (+ (* f f) (+ (* n n) (* f n)))))) * * * * [misc]progress: [ 98 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (+ f n)) (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (exp (/ (- 1) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (pow (exp (/ (- 1) (- f n))) (+ f n)))) * * * * [misc]progress: [ 99 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 0 (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (/ 1 (exp (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 101 / 167 ] 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 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (exp (- (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 102 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (- (/ (+ n f) (- f n)))))) (log (cbrt (exp (- (/ (+ n f) (- f n))))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (+ (+ (log (cbrt (exp (- (/ (+ n f) (- f n)))))) (log (cbrt (exp (- (/ (+ n f) (- f n))))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))))) * * * * [misc]progress: [ 109 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (/ (- (+ f n)) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (- (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (+ (log (sqrt (exp (- (/ (+ n f) (- f n)))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))))) * * * * [misc]progress: [ 110 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (f n) (+ (log 1) (log (exp (/ (- (+ f n)) (- f n)))))) * * * * [misc]progress: [ 111 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (log 1) (log (exp (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 112 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ 0 (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 0 (log (exp (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 113 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ (+ f n) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 114 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (- f) n) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (- (- f) n) (- f n))) (log (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))))) * * * * [misc]progress: [ 116 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (+ f n)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (- f) n) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (sqrt (/ (- (- f) n) (- f n))) (log (exp (sqrt (/ (- (+ f n)) (- f n))))))) * * * * [misc]progress: [ 117 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 118 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (- (- n) f)) (sqrt (- f n))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))))) * * * * [misc]progress: [ 119 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (- (- f) n)) (- f n)) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))))) * * * * [misc]progress: [ 120 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- n) f)) (cbrt (- f n))) (log (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 121 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- n) f)) (sqrt (- f n))) (log (exp (/ (sqrt (- (+ f n))) (sqrt (- f n))))))) * * * * [misc]progress: [ 122 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (- (- f) n)) (- f n)) (log (exp (/ (sqrt (- (+ f n))) 1))))) * * * * [misc]progress: [ 123 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (- f) n) (cbrt (- f n))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 124 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (- f) n) (sqrt (- f n))) (log (exp (/ 1 (sqrt (- f n))))))) * * * * [misc]progress: [ 125 / 167 ] 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 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (+ n f) (- f n))) (log (exp (/ 1 1))))) * * * * [misc]progress: [ 126 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (+ n f) (cbrt (- f n))) (log (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 127 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (+ n f) (sqrt (- f n))) (log (exp (/ -1 (sqrt (- f n))))))) * * * * [misc]progress: [ 128 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (+ n f) (- f n)) (log (exp (/ -1 1))))) * * * * [misc]progress: [ 129 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 130 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))))) * * * * [misc]progress: [ 131 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (cbrt (+ n f)) (- f n)) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))))) * * * * [misc]progress: [ 132 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (cbrt (- f n))) (log (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 133 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (sqrt (- f n))) (log (exp (/ (- (sqrt (+ f n))) (sqrt (- f n))))))) * * * * [misc]progress: [ 134 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (sqrt (+ n f)) (- f n)) (log (exp (/ (- (sqrt (+ f n))) 1))))) * * * * [misc]progress: [ 135 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (+ n f) (cbrt (- f n))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 136 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (+ n f) (sqrt (- f n))) (log (exp (/ (- 1) (sqrt (- f n))))))) * * * * [misc]progress: [ 137 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (+ n f) (- f n)) (log (exp (/ (- 1) 1))))) * * * * [misc]progress: [ 138 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 139 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))))) * * * * [misc]progress: [ 140 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (cbrt (+ n f))) (- f n)) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))))) * * * * [misc]progress: [ 141 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 142 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (sqrt (+ n f)) (sqrt (- f n)))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))))) * * * * [misc]progress: [ 143 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (sqrt (+ n f))) (- f n)) (log (exp (/ (sqrt (+ f n)) 1))))) * * * * [misc]progress: [ 144 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (- f) n) (cbrt (- f n))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 145 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ f n)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- (- f) n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (- (- f) n) (sqrt (- f n))) (log (exp (/ 1 (sqrt (- f n))))))) * * * * [misc]progress: [ 146 / 167 ] 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 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (+ n f) (- f n))) (log (exp (/ 1 1))))) * * * * [misc]progress: [ 147 / 167 ] 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 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (/ (+ n f) (- f n))) (log (exp 1)))) * * * * [misc]progress: [ 148 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ 1 (- f n)) (log (exp (- (+ f n)))))) * * * * [misc]progress: [ 149 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (+ (* f f) (* (+ f n) n)) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))))) * * * * [misc]progress: [ 150 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (+ n f) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))))) * * * * [misc]progress: [ 151 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (+ n f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (- (+ n f)) (- f n))) * * * * [misc]progress: [ 153 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 154 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 155 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 167 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (exp 1))) * * * * [misc]progress: [ 160 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (exp -1))) * * * * [misc]progress: [ 161 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (log (exp -1))) * * * * [misc]progress: [ 162 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying E * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1) to (λ (f n) (log E)) * * * * [misc]progress: [ 163 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp -1) * [misc]simplify: Simplified (2 1) to (λ (f n) (log (exp -1))) * * * * [misc]progress: [ 164 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying (exp -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp -1) * [misc]simplify: Simplified (2 1) to (λ (f n) (log (exp -1))) * * * * [misc]progress: [ 165 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2) to (λ (f n) 1) * * * * [misc]progress: [ 166 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2) to (λ (f n) -1) * * * * [misc]progress: [ 167 / 167 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2) to (λ (f n) -1) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 n) (/ 1 f))) in (f n) around 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in 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 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) 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 (- n)) (/ 1 (- f)))) in (f n) around 0 * [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]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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in 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 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) 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 n) (/ 1 f))) in (f n) around 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in 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 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) 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 (- n)) (/ 1 (- f)))) in (f n) around 0 * [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]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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in 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 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) 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]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 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- (- n) f) (- f n)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- n) f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (- n) f) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- n) 0) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (- n) f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (- n) f) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]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) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 (- f)) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (- n) f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (- (- n) f) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]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) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 (- f)) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* -1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ -1 f)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* -1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ 0 f)) (* (- (* 2 (/ 1 (pow f 2)))) (/ -1 f)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) -1) (+ (* 1 (/ (/ 1 f) -1)))) into (* 2 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ (/ 1 f) -1)))) into (* 2 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ 0 -1)) (* (* 2 (/ 1 (pow f 2))) (/ (/ 1 f) -1)))) into (* 2 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]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]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- (- n) f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (- (- n) f) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- n) 0) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ (- n) (- n)) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) in f * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) in n * [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]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) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 (- f)) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) in n * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) in n * [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]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) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 (- f)) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ (- f) f) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) in n * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [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 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 f) (+ (* 1 (/ 1 f)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 f) (+ (* 1 (/ 1 f)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) 1)) into (- (* 4 (/ 1 f))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 f))) 1) (+ (* -1 (/ (- (* 4 (/ 1 f))) 1)))) into (- (* 6 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 6 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 6 in f * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* -1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ -1 f)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ 1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ 1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow f 2)))) (+ (* (- (* 2 (/ 1 f))) (- (* 2 (/ 1 f)))) (* (* 2 (/ 1 (pow f 2))) 1))) into (* 8 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (pow f 2)))) 1) (+ (* -1 (/ (* 8 (/ 1 (pow f 2))) 1)) (* (- (* 6 (/ 1 f))) (/ (- (* 4 (/ 1 f))) 1)))) into (- (* 18 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 18 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 18 in f * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (+ (* 18 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 (+ (* 6 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* -1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ 0 f)) (* (- (* 2 (/ 1 (pow f 2)))) (/ -1 f)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ 1 f)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (- (* 2 (/ 1 f))) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ 1 f)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 (pow f 3))))) (+ (* (- (* 2 (/ 1 f))) (* 2 (/ 1 (pow f 2)))) (+ (* (* 2 (/ 1 (pow f 2))) (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 (pow f 3)))) 1)))) into (- (* 12 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (pow f 3)))) 1) (+ (* -1 (/ (- (* 12 (/ 1 (pow f 3)))) 1)) (* (- (* 6 (/ 1 f))) (/ (* 8 (/ 1 (pow f 2))) 1)) (* (- (* 18 (/ 1 (pow f 2)))) (/ (- (* 4 (/ 1 f))) 1)))) into (- (* 38 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 38 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 38 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 38 in f * [misc]backup-simplify: Simplify 38 into 38 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f)))) in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 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 (- 1) into -1 * [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 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f)))) in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 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 (- 1) into -1 * [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 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ 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 (/ 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 (/ 0 1)))) into 0 * [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 (- (+ (* 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 (/ 0 1)))) into 0 * [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 (+ (* -1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) -1)) into (- (* 4 (/ 1 f))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 4 (/ 1 f))) 1)))) into (* 6 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 6 in f * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 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 (- 0) 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 (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ (/ 1 f) -1)))) into (* 2 (/ 1 (pow f 2))) * [misc]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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (/ 1 f) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (/ 1 f) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 2 (/ 1 f)) (* 2 (/ 1 f))) (* (- (* 2 (/ 1 (pow f 2)))) -1))) into (* 8 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow f 2))) 1) (+ (* 1 (/ (* 8 (/ 1 (pow f 2))) 1)) (* (* 6 (/ 1 f)) (/ (- (* 4 (/ 1 f))) 1)))) into (* 18 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 18 in f * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (+ (* 18 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 (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ 0 -1)) (* (* 2 (/ 1 (pow f 2))) (/ (/ 1 f) -1)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) 1)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) 1)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* (* 2 (/ 1 f)) (- (* 2 (/ 1 (pow f 2))))) (+ (* (- (* 2 (/ 1 (pow f 2)))) (* 2 (/ 1 f))) (* (* 2 (/ 1 (pow f 3))) -1)))) into (- (* 12 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow f 3))) 1) (+ (* 1 (/ (- (* 12 (/ 1 (pow f 3)))) 1)) (* (* 6 (/ 1 f)) (/ (* 8 (/ 1 (pow f 2))) 1)) (* (* 18 (/ 1 (pow f 2))) (/ (- (* 4 (/ 1 f))) 1)))) into (* 38 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 38 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 38 in f * [misc]backup-simplify: Simplify 38 into 38 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) 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 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [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]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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- 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]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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [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 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [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]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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- 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]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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [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 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) -1) (+ (* -1 (/ (- (/ 1 f)) -1)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) -1) (+ (* -1 (/ (- (/ 1 f)) -1)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) -1)) into (- (* 4 (/ 1 f))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 f)) 1) (+ (* 1 (/ (- (* 4 (/ 1 f))) 1)))) into (* 6 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 6 in f * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ (- (/ 1 f)) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 2 (/ 1 f)) (* 2 (/ 1 f))) (* (- (* 2 (/ 1 (pow f 2)))) -1))) into (* 8 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow f 2))) 1) (+ (* 1 (/ (* 8 (/ 1 (pow f 2))) 1)) (* (* 6 (/ 1 f)) (/ (- (* 4 (/ 1 f))) 1)))) into (* 18 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 18 in f * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (+ (* 18 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 (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 f)) (/ 0 1)) (* (* 2 (/ 1 (pow f 2))) (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) -1)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (* 2 (/ 1 f)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) -1)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 (pow f 3)))) (+ (* (* 2 (/ 1 f)) (- (* 2 (/ 1 (pow f 2))))) (+ (* (- (* 2 (/ 1 (pow f 2)))) (* 2 (/ 1 f))) (* (* 2 (/ 1 (pow f 3))) -1)))) into (- (* 12 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow f 3))) 1) (+ (* 1 (/ (- (* 12 (/ 1 (pow f 3)))) 1)) (* (* 6 (/ 1 f)) (/ (* 8 (/ 1 (pow f 2))) 1)) (* (* 18 (/ 1 (pow f 2))) (/ (- (* 4 (/ 1 f))) 1)))) into (* 38 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 38 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 38 in f * [misc]backup-simplify: Simplify 38 into 38 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f n)) (log (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (- f n)) (log (+ n f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (exp (- (log (- f n)) (log (+ n f)))))))) * * * * [misc]progress: [ 3 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (pow (/ (- f n) (+ n f)) 3) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (cbrt (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 6 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ f (+ n f)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (- (/ f (+ n f)) (/ n (+ n f))))))) * * * * [misc]progress: [ 11 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 12 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f)))))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 13 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (+ n f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))))))) * * * * [misc]progress: [ 14 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 15 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 16 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (+ n f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))))))) * * * * [misc]progress: [ 17 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))))))) * [enter]simplify: Simplifying (/ (- f n) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- f n) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 18 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))))))) * [enter]simplify: Simplifying (/ (- f n) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- f n) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 19 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* 1 (/ (- f n) (+ n f))))))) * [enter]simplify: Simplifying (/ (- f n) (+ n f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ n f)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* 1 (/ (- f n) (+ n f))))))) * * * * [misc]progress: [ 20 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (+ f n))))))) * * * * [misc]progress: [ 24 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (/ (- f n) (sqrt (+ n f))) (sqrt (+ f n))))))) * * * * [misc]progress: [ 25 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (/ (- f n) 1) (+ f n)))))) * * * * [misc]progress: [ 26 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))))))) * * * * [misc]progress: [ 27 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (sqrt (- f n)) (/ (+ n f) (sqrt (- f n)))))))) * * * * [misc]progress: [ 28 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* f f) (* n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* f f) (* (- f n) n)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ (pow n 3) (pow f 3))) (- (* f f) (* (- f n) n))))))) * * * * [misc]progress: [ 30 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- n f) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (* (/ (- f n) (- (* n n) (* f f))) (- n f)))))) * * * * [misc]progress: [ 31 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow f 3) (pow n 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (pow f 3) (pow n 3)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- (pow f 3) (pow n 3)) (* (+ n f) (+ (* f f) (+ (* n n) (* f n))))))))) * * * * [misc]progress: [ 32 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f f) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (* (+ f n) (- f n)) (* (+ n f) (+ f n))))))) * * * * [misc]progress: [ 33 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f n)) (log (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (- f n)) (log (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (exp (- (log (- f n)) (log (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 35 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (pow (/ (- f n) (+ n f)) 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (cbrt (pow (/ (- f n) (+ n f)) 3)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 38 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ f (+ n f)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 43 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 44 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 45 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (+ n f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 46 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 47 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 48 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (+ n f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 49 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- f n) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- f n) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 50 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- f n) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- f n) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 51 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* 1 (/ (- f n) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- f n) (+ n f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ n f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* 1 (/ (- f n) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 52 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 56 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (/ (- f n) (sqrt (+ n f))) (sqrt (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 57 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (/ (- f n) 1) (+ f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 58 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 59 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (sqrt (- f n)) (/ (+ n f) (sqrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 60 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* f f) (* n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* f f) (* (- f n) n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (- f n) (+ (pow n 3) (pow f 3))) (- (* f f) (* (- f n) n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 62 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- n f) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (- f n) (- (* n n) (* f f))) (- n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 63 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow f 3) (pow n 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (pow f 3) (pow n 3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- (pow f 3) (pow n 3)) (* (+ n f) (+ (* f f) (+ (* n n) (* f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 64 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f f) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (* (+ f n) (- f n)) (* (+ n f) (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 65 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (- n) f)) (log (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- (log (- (+ n f))) (log (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (exp (- (log (- (+ n f))) (log (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 67 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (- (- n) f) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (- (- n) f) (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 70 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (- n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (- (/ (- n) (- f n)) (/ f (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 75 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- (- n) f)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (+ n f))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 76 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (cbrt (- (- n) f)) (sqrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- (- n) f)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (+ n f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 77 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (cbrt (- (- n) f)) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- (- n) f)) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (cbrt (- (- n) f)) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 78 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (- n) f)) (cbrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ n f))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 79 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ n f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (- n) f)) (sqrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ n f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 80 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (+ n f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (sqrt (- (+ n f))) (/ (sqrt (- (- n) f)) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (sqrt (- (+ n f))) (/ (sqrt (- (- n) f)) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 81 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (- n) f) (cbrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- (- n) f) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (- (+ n f)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 82 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* (/ 1 (sqrt (- f n))) (/ (- (- n) f) (sqrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- (- n) f) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (- (+ n f)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 83 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (* 1 (/ (- (- n) f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- (- n) f) (- f n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (- (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* 1 (- (/ (+ n f) (- f n)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 84 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (/ (/ (- (- n) f) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 88 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (/ (/ (- (- n) f) (sqrt (- f n))) (sqrt (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 89 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (/ (/ (- (- n) f) 1) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 90 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (- f n) (cbrt (- (- n) f)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 91 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- n) f)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (/ (sqrt (- (- n) f)) (/ (- f n) (sqrt (- (- n) f)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 92 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (- (- n) f) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 94 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (- (- n) f) (- (* f f) (* n n))) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 95 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- n) 3) (pow f 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (+ (* (- f) (* f f)) (* (- n) (* n n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (/ (+ (* (- f) (* f f)) (* (- n) (* n n))) (* (- f n) (+ (* (- n) (- n)) (+ (* f f) (* (- n) f))))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 96 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- n) (- n)) (* f f)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (+ f n) (- n f)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (/ (* (+ f n) (- n f)) (* (- f n) (+ (- n) f))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 97 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (+ (- (log (- f n)) (log (+ n f))) (- (log (- f n)) (log (+ n f))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (- (- n) f)) (log (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (- (- n) f)) (log (- f n))))))) * * * * [misc]progress: [ 99 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (+ (- (log (- f n)) (log (+ n f))) (log (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (- (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (- f n)) (log (- (- n) f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (- f n)) (log (- (- n) f))))))) * * * * [misc]progress: [ 100 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (+ (log (/ (- f n) (+ n f))) (- (log (- f n)) (log (+ n f))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (- (- n) f)) (log (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (- (- n) f)) (log (- f n))))))) * * * * [misc]progress: [ 101 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (+ (- (log (- (- n) f)) (log (- f n))) (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (+ (- (log (- (- n) f)) (log (- f n))) (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))))))) * * * * [misc]progress: [ 102 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (log (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (- (- (log (- (- n) f)) (log (- f n))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (- (log (- (- n) f)) (log (- f n))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 103 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (+ (- (log (- f n)) (log (+ n f))) (- (log (- f n)) (log (+ n f))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (log (/ (- (- n) f) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (log (/ (- (- n) f) (- f n))))))) * * * * [misc]progress: [ 104 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (+ (- (log (- f n)) (log (+ n f))) (log (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 105 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (+ (log (/ (- f n) (+ n f))) (- (log (- f n)) (log (+ n f))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (- (log (/ (- (- n) f) (- f n))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (log (/ (- (- n) f) (- f n))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 106 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 107 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (log (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (+ (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (+ (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))))))) * * * * [misc]progress: [ 108 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (* (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 111 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 3)) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (pow (/ (- f n) (+ n f)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 3)) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 112 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (338 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) (+ 3 1))) (pow (/ (- f n) (+ n f)) (+ 3 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) (+ 3 1))) (pow (/ (- f n) (+ n f)) (+ 3 1)))))) * * * * [misc]progress: [ 113 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) (+ 3 1))) (pow (/ (- f n) (+ n f)) (+ 3 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) (+ 3 1))) (pow (/ (- f n) (+ n f)) (+ 3 1)))))) * * * * [misc]progress: [ 114 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (pow (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (pow (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) 3))))) * * * * [misc]progress: [ 115 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (* (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (* (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 116 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (* (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (* (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 117 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (346 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) (+ 3 1))) (pow (/ (- f n) (+ n f)) (+ 3 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) (+ 3 1))) (pow (/ (- f n) (+ n f)) (+ 3 1)))))) * * * * [misc]progress: [ 118 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (+ n f) (+ n f)) (* (- f n) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (pow (/ (- f n) (+ n f)) 3) (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (* (+ n f) (+ n f)) (* (- f n) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (pow (/ (- f n) (+ n f)) 3) (- (/ (+ n f) (- f n)))))))) * * * * [misc]progress: [ 119 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (pow (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) 3)))) * * * * [misc]progress: [ 120 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- n) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (/ (/ (- n) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (- (/ (/ (- n) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (/ (/ f (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) * * * * [misc]progress: [ 125 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (cbrt (- (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (cbrt (- (/ (+ n f) (- f n)))))) (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f))) (/ (cbrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 126 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f))) (/ (sqrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (sqrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f))) (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 127 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n))))) (/ (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 128 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (+ n f))) (/ (- f n) (+ n f))) (/ (cbrt (- (+ n f))) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (/ (cbrt (- (+ n f))) (/ (- f n) (+ n f))) (/ (cbrt (- (+ n f))) (sqrt (- f n)))) (/ (/ (cbrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 129 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (+ n f) (- f n))) (/ (/ (cbrt (- (- n) f)) (- f n)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (- n) f)) (- f n)) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (+ n f) (- f n))) (/ (cbrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f)))))) * * * * [misc]progress: [ 130 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (+ n f))) (* (- f n) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (/ (sqrt (- (+ n f))) (* (- f n) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n)))) (/ (/ (sqrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 131 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n)))) (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 132 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) 1) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (sqrt (- (- n) f)) (/ (- f n) (+ n f))) (/ (/ (sqrt (- (- n) f)) (- f n)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (- f n)) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (sqrt (- (- n) f)) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f)))))) * * * * [misc]progress: [ 133 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (/ (/ (+ f n) (- f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ (+ f n) (- f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (+ n f) (cbrt (- f n))) (- (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (+ f n) (- f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (+ n f) (cbrt (- f n))) (- (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 134 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (+ f n) (- f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ (+ f n) (- f n)) (sqrt (- f n))) (/ (/ (- (- n) f) (sqrt (- f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (- (- n) f) (sqrt (- f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (* (/ (+ n f) (sqrt (- f n))) (- (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (+ f n) (- f n)) (sqrt (- f n))) (* (/ (+ n f) (sqrt (- f n))) (- (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 135 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (+ n f) (- f n)) (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 136 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (+ f n) (- f n)) (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (+ f n) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 137 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- n) f) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (- (- n) f) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (- (- n) f) (/ (- f n) (+ n f))) (/ (/ 1 (- f n)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (/ 1 (- f n)) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (+ f n) (* (- f n) (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (- (- n) f) (/ (- f n) (+ n f))) (/ (+ f n) (* (- f n) (- f n)))))) * * * * [misc]progress: [ 138 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (- n) f) (- (pow f 3) (pow n 3))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (/ (- (* (+ n f) (+ n f))) (* (- f n) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (- (* (+ n f) (+ n f))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (+ (* f f) (+ (* n n) (* f n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (+ (* f f) (+ (* n n) (* f n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (/ (+ (* n n) (* f (+ f n))) (/ (- f n) (+ f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- (pow f 3) (pow n 3))) (/ (- f n) (+ n f))) (/ (+ (* n n) (* f (+ f n))) (/ (- f n) (+ f n)))))) * * * * [misc]progress: [ 139 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (- n) f) (- (* f f) (* n n))) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ (+ n f) (+ n f))) (/ (* (- f n) (- f n)) (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (- (/ (+ n f) (+ n f))) (/ (* (- f n) (- f n)) (+ n f))) (/ (+ f n) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (+ f n) (/ (- f n) (+ n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (+ n f) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- (* f f) (* n n))) (/ (- f n) (+ n f))) (/ (+ n f) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 140 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ n f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ n f)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (/ (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))))) * * * * [misc]progress: [ 144 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (cbrt (/ (- (- n) f) (- f n))))))) * * * * [misc]progress: [ 145 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (- n) f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (sqrt (/ (- (- n) f) (- f n))))))) * * * * [misc]progress: [ 146 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 147 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 148 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (- f n)))))) * * * * [misc]progress: [ 149 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 150 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ n f))) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 151 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (- n) f)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (sqrt (- (+ n f))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (- f n)))))) * * * * [misc]progress: [ 152 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- (- n) f) (cbrt (- f n))))))) * * * * [misc]progress: [ 153 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ 1 (sqrt (- f n))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- (- n) f) (sqrt (- f n))))))) * * * * [misc]progress: [ 154 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ 1 (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- (- n) f) (- f n)))))) * * * * [misc]progress: [ 155 / 174 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- n) f) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (- (+ n f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (- (+ n f)) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ 1 (- f n)))))) * * * * [misc]progress: [ 157 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- n) f) (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (- (- n) f) (- (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- (pow f 3) (pow n 3))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (+ (* f f) (+ (* n n) (* f n))))))) * * * * [misc]progress: [ 158 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- n) f) (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (- 1) (- f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (- 1) (- f n)) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (+ f n))))) * * * * [misc]progress: [ 159 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- f n) (- f n))) (* (+ f n) (+ f n))))) * * * * [misc]progress: [ 160 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (- f n))) (+ f n)))) * * * * [misc]progress: [ 161 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- f n) (/ (- f n) (+ n f)))) (+ f n)))) * * * * [misc]progress: [ 162 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- n) f) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (- (+ n f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (- (+ n f)) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (- f n))))) * * * * [misc]progress: [ 163 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) -1)))) * * * * [misc]progress: [ 164 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) 1)))) * * * * [misc]progress: [ 165 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) 1)))) * * * * [misc]progress: [ 166 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* -1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 167 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 168 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 169 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ -1 (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 170 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ 1 (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 171 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ 1 (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 172 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (cbrt -1)) * * * * [misc]progress: [ 173 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (cbrt 1)) * * * * [misc]progress: [ 174 / 174 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (cbrt 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in n * [misc]taylor: Rewrote expression to (pow (- (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ f n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ f n))) in n * [misc]taylor: Taking taylor expansion of (- (+ f n)) in n * [misc]taylor: Taking taylor expansion of (+ f 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 (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]taylor: Rewrote expression to (pow (- (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ f n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f 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 (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ f n))) in f * [misc]taylor: Rewrote expression to (pow (- (+ f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ f n))) in f * [misc]taylor: Taking taylor expansion of (- (+ f n)) in f * [misc]taylor: Taking taylor expansion of (+ f 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 (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1) (log n))) into (* 1/3 (+ (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1) (log n)))) into (exp (* 1/3 (+ (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1) (log n)))) into (exp (* 1/3 (+ (log -1) (log n)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- n) 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log (- n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ -1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ -1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) (log -1)) into (- (log -1) (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log n)))) into (* 1/3 (- (log -1) (* 2 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log n))))) into (exp (* 1/3 (- (log -1) (* 2 (log n))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow n 5) in n * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log n)) (log -1)) into (- (log -1) (* 5 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log n)))) into (* 1/3 (- (log -1) (* 5 (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log n))))) into (exp (* 1/3 (- (log -1) (* 5 (log n))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) (pow (* 1 f) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) (* 1 f)) (exp (* 1/3 (+ (log -1) (log n)))))) into (- (+ (exp (* 1/3 (+ (log -1) (log n)))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))) (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log 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]taylor: Rewrote expression to (pow (- (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 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) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 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) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (- (+ (* 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) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow -1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log -1) (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [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)) (* 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) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log -1) (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 f))))) into (exp (* 1/3 (- (log -1) (log (/ 1 f))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 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) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 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) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -1/3) * [misc]backup-simplify: Simplify (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- -1) into 1 * [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 (- 0) into 0 * [misc]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 (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of 5/81 in n * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (- f)) -1/3) into (pow (/ -1 f) -1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ n f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in f * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in f * [misc]taylor: Taking taylor expansion of (- (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- f) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log -1)) into (+ (log f) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log -1))) into (* 1/3 (+ (log f) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log -1)))) into (exp (* 1/3 (+ (log f) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log -1)))) into (exp (* 1/3 (+ (log f) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- f) 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log (- f)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ -1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) (log -1)) into (- (log -1) (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log f)))) into (* 1/3 (- (log -1) (* 2 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log f))))) into (exp (* 1/3 (- (log -1) (* 2 (log f))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) into (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) into (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log -1)) into (+ (log f) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- f) 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log (- f))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ -1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log f)) (log -1)) into (- (log -1) (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log f)))) into (* 1/3 (- (log -1) (* 5 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log f))))) into (exp (* 1/3 (- (log -1) (* 5 (log f))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) (pow (* 1 n) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) (* 1 n)) (exp (* 1/3 (+ (log f) (log -1)))))) into (- (+ (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log f))))) n)) (exp (* 1/3 (+ (log f) (log -1))))) (* 1/9 (* (pow n 2) (exp (* 1/3 (- (log -1) (* 5 (log f)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 n))))) into (exp (* 1/3 (- (log -1) (log (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log n)) in f * [misc]taylor: Taking taylor expansion of -1/3 in f * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* -1/3 (log n)) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]backup-simplify: Simplify (pow n -1/3) into (pow n -1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) -1/3) into (pow (/ -1 n) -1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ n f))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in f * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in f * [misc]taylor: Taking taylor expansion of (- (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- f) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log -1)) into (+ (log f) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log f) (log -1))) into (* 1/3 (+ (log f) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log -1)))) into (exp (* 1/3 (+ (log f) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log f) (log -1)))) into (exp (* 1/3 (+ (log f) (log -1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- f) 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log (- f)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow f 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (/ -1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log f)) (log -1)) into (- (log -1) (* 2 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log f)))) into (* 1/3 (- (log -1) (* 2 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log f))))) into (exp (* 1/3 (- (log -1) (* 2 (log f))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) into (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) into (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log -1)) into (+ (log f) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log f) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log f) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- f) 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log (- f))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow f 5)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow f 5))) in f * [misc]taylor: Taking taylor expansion of (/ -1 (pow f 5)) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log f)) (log -1)) into (- (log -1) (* 5 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log f)))) into (* 1/3 (- (log -1) (* 5 (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log f))))) into (exp (* 1/3 (- (log -1) (* 5 (log f))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log f)))))) (pow (* 1 n) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (* 2 (log f)))))) (* 1 n)) (exp (* 1/3 (+ (log f) (log -1)))))) into (- (+ (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log f))))) n)) (exp (* 1/3 (+ (log f) (log -1))))) (* 1/9 (* (pow n 2) (exp (* 1/3 (- (log -1) (* 5 (log f)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) f) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log n)))) 1) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 n))))) into (exp (* 1/3 (- (log -1) (log (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (pow n -1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log n))) in f * [misc]taylor: Taking taylor expansion of (* -1/3 (log n)) in f * [misc]taylor: Taking taylor expansion of -1/3 in f * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* -1/3 (log n)) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]backup-simplify: Simplify (pow n -1/3) into (pow n -1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 n) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of -1/9 in f * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 5/81 in f * [misc]backup-simplify: Simplify 5/81 into 5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 n))) into (* 1/3 (log (/ 1 n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 n)))) into (pow (/ 1 n) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 n) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) 1/3) 1) into (pow (/ 1 n) 1/3) * [misc]backup-simplify: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) -1/3) into (pow (/ -1 n) -1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in f * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in f * [misc]taylor: Taking taylor expansion of (- (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in f * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in f * [misc]taylor: Taking taylor expansion of (- (+ n f)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ n f))) in n * [misc]taylor: Rewrote expression to (pow (- (+ n f)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ n f))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ n f)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (+ n f)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (log (- f)) into (log (- f)) * [misc]backup-simplify: Simplify (* 1/3 (log (- f))) into (* 1/3 (log (- f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- f)))) into (pow (- f) 1/3) * [misc]backup-simplify: Simplify (* (pow (- f) 1/3) (pow (- f) 1/3)) into (pow (* (pow f 2) (pow -1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* (pow f 2) (pow -1 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow f 2) (pow -1 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow f 2) (pow -1 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (pow f 2) (pow -1 2))) in f * [misc]taylor: Taking taylor expansion of (* (pow f 2) (pow -1 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]taylor: Taking taylor expansion of (pow -1 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log -1)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 2 (log -1)) into (* 2 (log -1)) * [misc]backup-simplify: Simplify (exp (* 2 (log -1))) into (pow -1 2) * [misc]backup-simplify: Simplify (* 1 (pow -1 2)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log f)) 0) into (* 2 (log f)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log f))) into (* 2/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log f))) into (pow f 2/3) * [misc]backup-simplify: Simplify (pow f 2/3) into (pow f 2/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- f) 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log (- f)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- f) 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (log (- f)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- f) 1/3) (* 1/3 (pow (/ -1 (pow f 2)) 1/3))) (* (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) (pow (- f) 1/3))) into (* 2/3 (pow (/ 1 f) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow (/ 1 f) 1/3)) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (* 2/3 (pow f -1/3)) into (* 2/3 (pow (/ 1 f) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 f) 1/3)) into (* 2/3 (pow (/ 1 f) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log f)) 0) into (* 2 (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- f) 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log (- f))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- f) 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (log (- f))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- f)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- f) 1/3) (* -1/9 (pow (/ -1 (pow f 5)) 1/3))) (+ (* (* 1/3 (pow (/ -1 (pow f 2)) 1/3)) (* 1/3 (pow (/ -1 (pow f 2)) 1/3))) (* (* -1/9 (pow (/ -1 (pow f 5)) 1/3)) (pow (- f) 1/3)))) into (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (pow (/ 1 (pow f 4)) 1/3)) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow f 4)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow f 4))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow f 4)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow f 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 4)) in f * [misc]taylor: Taking taylor expansion of (pow f 4) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log f)) 0) into (- (* 4 (log f))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log f)))) into (* -4/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log f))) into (pow f -4/3) * [misc]backup-simplify: Simplify (* 1/9 (pow f -4/3)) into (* 1/9 (pow (/ 1 (pow f 4)) 1/3)) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow f 4)) 1/3))) (pow (* 1 n) 2)) (+ (* (* 2/3 (pow (/ 1 f) 1/3)) (* 1 n)) (pow f 2/3))) into (- (+ (pow f 2/3) (* 2/3 (* n (pow (/ 1 f) 1/3)))) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 4)) 1/3)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (+ (/ 1 n) (/ 1 f)))) (cbrt (- (+ (/ 1 n) (/ 1 f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 n) (/ 1 f)))) (cbrt (- (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 n) (/ 1 f)))) (cbrt (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 n) (/ 1 f)))) (cbrt (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 n) (/ 1 f))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 n) (/ 1 f)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 n) (/ 1 f))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (exp (* 1/3 (- (log -1) (log n))))) into (pow (exp (* 1/3 (- (log -1) (log n)))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log n))))))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log n)))))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log n))))) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log n))))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log n)))) into (* 2/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log n)))) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log n)))) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 f))) 1)) (pow -1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log -1) (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) (exp (* 1/3 (- (log -1) (log n)))))) into (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) f)) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) f)) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) f) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log n))))))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log n)))))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log n))))) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log n))))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log n)))) into (* 2/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log n)))) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 2/3 (- (log -1) (log n)))) 1) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (exp (* 2/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 f))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) (* (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) (exp (* 1/3 (- (log -1) (log n))))))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log n))))))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log n)))))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log n))))) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log n))))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log n)))) into (* 2/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log n)))) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ (exp (* 2/3 (- (log -1) (log n)))) 1) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 f))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 f))) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log -1) (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log n)))) (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3)))) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f)) (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2)))) (+ (* (* -1/9 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 2))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log n)))) f))) (* (* 5/81 (/ (exp (* 1/3 (- (log -1) (log n)))) (pow f 3))) (exp (* 1/3 (- (log -1) (log n)))))))) into (* 4/81 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 4/81 (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 4/81 in f * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log -1) (log n)))) 2) (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log n)))) 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log n))))))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log n)))))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log n))))) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in f * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log n))))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log n)))) into (* 2/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log n)))) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ (exp (* 2/3 (- (log -1) (log n)))) 1) into (exp (* 2/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log -1) (log n)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log -1) (log n)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log n))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log -1) (log n)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log -1) (log n)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log (/ 1 n))))) into (exp (* 2/3 (- (log -1) (log (/ 1 n))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Rewrote expression to (pow (- (+ (/ 1 (- n)) (/ 1 (- f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (- n)) (/ 1 (- f)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]backup-simplify: Simplify (* (pow n -1/3) (pow n -1/3)) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow n 2)) 1/3) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 f)) 1)) (pow 1 1)))) 1) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 f)) (* 0 (- (log n)))) into (* 1/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 1) 1)))) into (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) (* (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) (pow n -1/3))) into (* 2/3 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/3) 1) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow (/ 1 (pow n 2)) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 f)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n))))) into (- (* 1/6 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (+ (* (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) (* (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) (pow n -1/3)))) into (- (* 1/9 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/9 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/9 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of 1/9 in f * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/3) 1) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 f)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 f)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow f 3))) (+ (* 0 (/ -1/2 (pow f 2))) (+ (* 0 (/ 1 f)) (* 0 (- (log n)))))) into (* 1/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 f)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow f 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow f 3))) 1) 1)))) into (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (+ (* (pow n -1/3) (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3))))) (+ (* (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f))) (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2))))) (+ (* (* -1/9 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 2)))) (* 1/3 (* (pow (/ 1 n) 1/3) (/ 1 f)))) (* (* 5/81 (* (pow (/ 1 n) 1/3) (/ 1 (pow f 3)))) (pow n -1/3))))) into (* 4/81 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (* 4/81 (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of 4/81 in f * [misc]backup-simplify: Simplify 4/81 into 4/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 2)) 1/3) (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in f * [misc]taylor: Taking taylor expansion of (pow n 2) in f * [misc]taylor: Taking taylor expansion of (exp (* 2 (log n))) in f * [misc]taylor: Taking taylor expansion of (* 2 (log n)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (* 2 (log n)) into (* 2 (log n)) * [misc]backup-simplify: Simplify (exp (* 2 (log n))) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow n 2))) into (log (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow n 2)))) into (* 1/3 (log (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow n 2))))) into (pow (/ 1 (pow n 2)) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow n 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow n 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow n 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow n 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow n 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (pow n 2)) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 (pow n 2)) 1/3) 1) into (pow (/ 1 (pow n 2)) 1/3) * [misc]backup-simplify: Simplify (+ (* 4/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow n 2)) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (pow (/ 1 (- n)) 2)) 1/3) into (pow (pow n 2) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- f) n)) (cbrt (- (- f) n)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (* (cbrt (- (- f) n)) (cbrt (- (- f) n)))) (cbrt (cbrt (- (+ f n))))) (- f n)))) * * * * [misc]progress: [ 6 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (+ n f)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (sqrt (- (+ n f)))) (cbrt (sqrt (- (+ f n))))) (- f n)))) * * * * [misc]progress: [ 7 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt 1) (cbrt (- (+ f n)))) (- f n)))) * * * * [misc]progress: [ 8 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt -1) (cbrt (+ f n))) (- f n)))) * * * * [misc]progress: [ 9 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cbrt (+ f n)) (cbrt (+ f n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (- (cbrt (+ n f))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (* (cbrt (+ n f)) (- (cbrt (+ n f))))) (cbrt (cbrt (+ f n)))) (- f n)))) * * * * [misc]progress: [ 10 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ n f)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (- (sqrt (+ n f)))) (cbrt (sqrt (+ f n)))) (- f n)))) * * * * [misc]progress: [ 11 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (- 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (- 1)) (cbrt (+ f n))) (- f n)))) * * * * [misc]progress: [ 12 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (- (cbrt (+ f n))))) (- f n)))) * * * * [misc]progress: [ 13 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ f n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt (sqrt (+ n f))) (cbrt (- (sqrt (+ f n))))) (- f n)))) * * * * [misc]progress: [ 14 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (* (cbrt 1) (cbrt (- (+ f n)))) (- f n)))) * * * * [misc]progress: [ 15 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (- f) (* f f)) (* (- n) (* n n)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (/ (cbrt (+ (* (- f) (* f f)) (* (- n) (* n n)))) (cbrt (+ (* f f) (- (* n n) (* f n))))) (- f n)))) * * * * [misc]progress: [ 16 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ f n) (- n f))) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (/ (cbrt (* (+ f n) (- n f))) (cbrt (- f n))) (- f n)))) * * * * [misc]progress: [ 17 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) (cbrt (cbrt (- (+ n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 26 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 27 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt 1) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 28 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt -1) (cbrt (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 29 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cbrt (+ n f)) (cbrt (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (- (cbrt (+ f n))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (cbrt (cbrt (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 30 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (- (sqrt (+ f n)))) (cbrt (sqrt (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 31 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (- 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (- 1)) (cbrt (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 32 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (- (cbrt (+ n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 33 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt (sqrt (+ f n))) (cbrt (- (sqrt (+ n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 34 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (* (cbrt 1) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 35 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (pow n 3) (pow f 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (/ (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f)))) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 36 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- (* n n) (* f f)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (/ (cbrt (* (+ n f) (- f n))) (cbrt (- n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 37 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) (cbrt (cbrt (- (+ n f))))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 46 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- (+ n f))))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 47 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt 1) (cbrt (- (+ n f)))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 48 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt -1) (cbrt (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 49 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cbrt (+ n f)) (cbrt (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (- (cbrt (+ f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (cbrt (cbrt (+ n f)))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 50 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (- (sqrt (+ f n)))) (cbrt (sqrt (+ n f)))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 51 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (- 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (- 1)) (cbrt (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 52 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (- (cbrt (+ n f))))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 53 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt (sqrt (+ f n))) (cbrt (- (sqrt (+ n f))))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 54 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (* (cbrt 1) (cbrt (- (+ n f)))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 55 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (pow n 3) (pow f 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (/ (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f)))) (cbrt (+ (* n n) (- (* f f) (* n f))))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 56 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- (* n n) (* f f)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (* (* (/ (cbrt (* (+ n f) (- f n))) (cbrt (- n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 57 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (pow (- (+ f n)) (+ 1/3 1/3)) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (pow (- (+ n f)) (+ 1/3 1/3)) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 62 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (pow (cbrt (- (- n) f)) (+ 1 1)) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (pow (cbrt (- (+ n f))) (+ 1 1)) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 63 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ n f)) (- (+ n f))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (pow (* (+ f n) (+ f n)) 1/3) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 64 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (pow (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 65 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (pow (cbrt (- (- n) f)) (+ 1 1)) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 67 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (- (+ n f)))) (log (cbrt (- (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (- (- n) f))) (log (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (exp (+ (log (cbrt (- (- n) f))) (log (cbrt (- (- n) f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 69 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ n f)) (- (+ n f))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (cbrt (* (+ f n) (+ f n))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 72 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ (pow n 3) (pow f 3)))) (cbrt (- (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f)))) (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (* (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f)))) (cbrt (+ (* (- n) (* n n)) (* (- f) (* f f))))) (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (+ (* n n) (- (* f f) (* n f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* n n) (* f (- f n)))) (cbrt (+ (* n n) (* f (- f n))))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (/ (* (cbrt (- (+ (pow n 3) (pow f 3)))) (cbrt (- (+ (pow n 3) (pow f 3))))) (* (cbrt (+ (* n n) (* f (- f n)))) (cbrt (+ (* n n) (* f (- f n)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 76 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ (pow n 3) (pow f 3)))) (cbrt (- (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- f n) (+ f n))) (cbrt (+ (* (* f f) (- f)) (* (* n n) (- n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (* (cbrt (* (- f n) (+ f n))) (cbrt (+ (* (* f f) (- f)) (* (* n n) (- n))))) (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (- n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (* (cbrt (+ (* n n) (- (* f f) (* n f)))) (cbrt (- n f))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (- n f)) (cbrt (+ (* f f) (* n (- n f))))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (/ (* (cbrt (- (+ (pow n 3) (pow f 3)))) (cbrt (- (- (* n n) (* f f))))) (* (cbrt (- n f)) (cbrt (+ (* f f) (* n (- n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 77 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- (* n n) (* f f)))) (cbrt (- (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (* f f) (- f)) (* (- n) (* n n)))) (cbrt (- (* f f) (* n n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (* (cbrt (+ (* (* f f) (- f)) (* (- n) (* n n)))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- n f)) (cbrt (+ (* n n) (- (* f f) (* n f)))))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (* (cbrt (- n f)) (cbrt (+ (* n n) (- (* f f) (* n f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (- n f)) (cbrt (+ (* n (- n f)) (* f f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (/ (* (cbrt (- (- (* n n) (* f f)))) (cbrt (- (+ (pow n 3) (pow f 3))))) (* (cbrt (- n f)) (cbrt (+ (* n (- n f)) (* f f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 78 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- (* n n) (* f f)))) (cbrt (- (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (* (cbrt (- n f)) (cbrt (- n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- n f)) (cbrt (- n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (- n f)) (cbrt (- n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 79 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))))) (cbrt (cbrt (- (+ f n))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 81 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (sqrt (- (+ n f))))) (cbrt (sqrt (- (+ f n))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 82 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt 1)) (cbrt (- (- n) f))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 83 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt -1)) (cbrt (+ f n))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 84 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (- (* (cbrt (+ n f)) (cbrt (+ n f)))))) (cbrt (cbrt (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 85 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (- (sqrt (+ n f))))) (cbrt (sqrt (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 86 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (- 1))) (cbrt (+ f n))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 87 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (* (cbrt (+ n f)) (cbrt (+ n f))))) (cbrt (- (cbrt (+ f n))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 88 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt (sqrt (+ n f)))) (cbrt (- (sqrt (+ f n))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 89 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (cbrt 1)) (cbrt (- (- n) f))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 90 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (* (cbrt (cbrt (- (+ n f)))) (cbrt (cbrt (- (+ n f)))))) (cbrt (cbrt (- (+ f n))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 91 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) (sqrt (cbrt (- (+ n f))))) (sqrt (cbrt (- (+ f n))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 92 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (* (cbrt (- (+ n f))) 1) (cbrt (- (- n) f))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 93 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) (* (cbrt (cbrt (- (+ n f)))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 94 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (sqrt (- (+ f n)))) (* (cbrt (sqrt (- (+ n f)))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 95 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt 1) (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 96 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt -1) (* (cbrt (+ n f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 97 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cbrt (+ n f)) (cbrt (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (- (cbrt (+ f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (+ f n)) (- (cbrt (+ f n))))) (* (cbrt (cbrt (+ n f))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 98 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (- (sqrt (+ f n)))) (* (cbrt (sqrt (+ n f))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 99 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (- 1)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (- 1)) (* (cbrt (+ n f)) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 100 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- (cbrt (+ n f)))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 101 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ n f))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (sqrt (+ f n))) (* (cbrt (- (sqrt (+ n f)))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 102 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt 1) (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 103 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- (+ n f)))) (cbrt (cbrt (- (+ n f))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (- n) f))) (cbrt (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (* (cbrt (cbrt (- (- n) f))) (cbrt (cbrt (- (- n) f)))) (* (cbrt (cbrt (- (+ n f)))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 104 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (sqrt (cbrt (- (+ f n)))) (* (sqrt (cbrt (- (+ n f)))) (cbrt (- (+ n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 105 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* n n) (- (* f f) (* n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (- (* n n) (* f (- n f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (/ (* (cbrt (- (+ n f))) (cbrt (- (+ (pow n 3) (pow f 3))))) (cbrt (- (* n n) (* f (- n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 107 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- n f)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (/ (* (cbrt (- (+ n f))) (cbrt (- (- (* n n) (* f f))))) (cbrt (- n f))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 108 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ (pow n 3) (pow f 3)))) (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (* f f) (- f)) (* (* n n) (- n)))) (cbrt (- (- f) n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (* (cbrt (+ (* (* f f) (- f)) (* (* n n) (- n)))) (cbrt (- (- f) n))) (cbrt (+ (* n n) (- (* f f) (* n f))))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 109 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- (* n n) (* f f)))) (cbrt (- (+ n f)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- n) f)) (cbrt (* (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (* (cbrt (- (- n) f)) (cbrt (* (- f n) (+ n f)))) (cbrt (- n f))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 110 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log -1) (log n)))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))) (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (+ (- (* (/ (cbrt -1) (* (cbrt n) (cbrt n))) (* f 1/3)) (* (* f (* 1/9 f)) (/ (cbrt -1) (pow n (* 1/3 5))))) (cbrt (- n))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (+ (- (* (/ (cbrt -1) (* (cbrt n) (cbrt n))) (* f 1/3)) (* (* f (* 1/9 f)) (/ (cbrt -1) (pow n (* 1/3 5))))) (cbrt (- n))) (- f n)))) * * * * [misc]progress: [ 112 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ 1 f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (* -1 f)) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (* -1 f)) (- f n)))) * * * * [misc]progress: [ 113 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ -1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (pow (/ -1 f) -1/3) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (pow (/ -1 f) -1/3) (- f n)))) * * * * [misc]progress: [ 114 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log f))))) n)) (exp (* 1/3 (+ (log f) (log -1))))) (* 1/9 (* (pow n 2) (exp (* 1/3 (- (log -1) (* 5 (log f)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (+ (- (cbrt (- f)) (* (/ (cbrt -1) (pow f (* 1/3 5))) (* (* n n) 1/9))) (* (/ (cbrt -1) (* (cbrt f) (cbrt f))) (* 1/3 n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (cbrt (- (+ n f))) (+ (- (cbrt (- f)) (* (/ (cbrt -1) (pow f (* 1/3 5))) (* (* n n) 1/9))) (* (/ (cbrt -1) (* (cbrt f) (cbrt f))) (* 1/3 n)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 115 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ 1 n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (* -1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (* -1 n))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 116 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ -1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (pow (/ -1 n) -1/3) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (* (* (cbrt (- (+ n f))) (pow (/ -1 n) -1/3)) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 117 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log f))))) n)) (exp (* 1/3 (+ (log f) (log -1))))) (* 1/9 (* (pow n 2) (exp (* 1/3 (- (log -1) (* 5 (log f)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (+ (- (cbrt (- f)) (* (/ (cbrt -1) (pow f (* 1/3 5))) (* (* n n) 1/9))) (* (/ (cbrt -1) (* (cbrt f) (cbrt f))) (* 1/3 n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (+ (- (cbrt (- f)) (* (/ (cbrt -1) (pow f (* 1/3 5))) (* (* n n) 1/9))) (* (/ (cbrt -1) (* (cbrt f) (cbrt f))) (* 1/3 n))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 118 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ 1 n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (* -1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* -1 n)) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 119 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ -1 n) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (pow (/ -1 n) -1/3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (pow (/ -1 n) -1/3) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 120 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow f 2/3) (* 2/3 (* n (pow (/ 1 f) 1/3)))) (* 1/9 (* (pow n 2) (pow (/ 1 (pow f 4)) 1/3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (- (+ (* (* n 2/3) (cbrt (/ 1 f))) (pow f 2/3)) (* (cbrt (/ 1 (pow f 4))) (* 1/9 (* n n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (+ (* (* n 2/3) (cbrt (/ 1 f))) (pow f 2/3)) (* (cbrt (/ 1 (pow f 4))) (* 1/9 (* n n)))) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 121 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2/3 (- (log -1) (log (/ 1 n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (pow (* -1 n) 2/3) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (pow (* -1 n) 2/3) (/ (cbrt (- (+ f n))) (- f n)))) * * * * [misc]progress: [ 122 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow n 2) 1/3) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (* n n)) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* n n)) (/ (cbrt (- (+ f n))) (- f n)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (- (+ f n)) (- f n)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (log (exp (/ (- (+ 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 (exp (- (/ (+ n f) (- f n))))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs