* [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 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ 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) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in f * [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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (- 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]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]backup-simplify: Simplify (+ (* -1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) -1)) into (- (* 4 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ (- (* 4 (/ 1 n))) 1)))) into (* 6 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 6 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 n)) (* 0 0)) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in n * [misc]taylor: Rewrote expression to (pow (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ 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) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in n * [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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in n * [misc]taylor: Rewrote expression to (pow (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ 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) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) in n * [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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 (log -1))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 f) (pow -1 1/3))) 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 f) (pow -1 1/3)) 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 (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow -1 1/3))) 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 (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 6 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) 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 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 1) (pow (* 2 (- (* 18 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 38 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 6 f)) (* 0 (log -1))))) into (* 2/3 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 3) 6)) (* (/ (pow (* 2 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/3 (/ 1 (pow f 3))) 1) 1)))) into (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) 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)) (pow -1 1/3)) in f * [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]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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))) (+ (* (/ (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 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (- (- (/ 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 (cbrt (/ (/ (- (- (/ 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: Rewrote expression to (pow (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- (/ 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 (* 1/3 (log (/ (/ (- (- (/ 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (- (- (/ 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))) (* (/ (- (/ 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- (/ 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: Rewrote expression to (pow (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- (/ 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 (* 1/3 (log (/ (/ (- (- (/ 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 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (- (- (/ 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))) (* (/ (- (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 0)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- (/ 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: Rewrote expression to (pow (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 n) (/ 1 f))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- (/ 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 (* 1/3 (log (/ (/ (- (- (/ 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 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (- (- (/ 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))) (* (/ (- (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 0)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (/ 2 f) * [misc]taylor: Taking taylor expansion of (/ 2 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 f in f * [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 (- 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 18 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 6 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (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 (pow f 2) in f * [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 (- 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 6 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1) (pow (* 2 (* 18 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 38 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 6 f)) (* 0 0)))) into (* 2/3 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 3) 6)) (* (/ (pow (* 2 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/3 (/ 1 (pow f 3))) 1) 1)))) into (/ 2 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 2 (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 (pow f 3) in f * [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 (cbrt (/ (/ (- (- (/ 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 (cbrt (/ (/ (- (- (/ 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: Rewrote expression to (pow (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- (/ 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 (* 1/3 (log (/ (/ (- (- (/ 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 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (- (- (/ 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)))) (* (/ (- (/ 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- (/ 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: Rewrote expression to (pow (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- (/ 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 (* 1/3 (log (/ (/ (- (- (/ 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 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (- (- (/ 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)))) (* (/ (- (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 0)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (- (- (/ 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: Rewrote expression to (pow (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- n)) (/ 1 (- f)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (- (- (/ 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 (* 1/3 (log (/ (/ (- (- (/ 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 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (- (- (/ 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)))) (* (/ (- (/ 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 0)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (/ 2 f) * [misc]taylor: Taking taylor expansion of (/ 2 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 f in f * [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 (- 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 18 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 6 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (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 (pow f 2) in f * [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 (- 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 6 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1) (pow (* 2 (* 18 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 38 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 6 f)) (* 0 0)))) into (* 2/3 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 3) 6)) (* (/ (pow (* 2 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/3 (/ 1 (pow f 3))) 1) 1)))) into (/ 2 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 2 (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 (pow f 3) in f * [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: [ 3 / 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: [ 4 / 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: simplifying candidates * * * * [misc]progress: [ 1 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 173 ] 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: [ 3 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 173 ] 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: [ 6 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 173 ] 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: [ 11 / 173 ] 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: [ 12 / 173 ] 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: [ 13 / 173 ] 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: [ 14 / 173 ] 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: [ 15 / 173 ] 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: [ 16 / 173 ] 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: [ 17 / 173 ] 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: [ 18 / 173 ] 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: [ 19 / 173 ] 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: [ 20 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 173 ] 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: [ 24 / 173 ] 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: [ 25 / 173 ] 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: [ 26 / 173 ] 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: [ 27 / 173 ] 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: [ 28 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 173 ] 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: [ 30 / 173 ] 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: [ 31 / 173 ] 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: [ 32 / 173 ] 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: [ 33 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) (cbrt (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (cbrt (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))) (cbrt (/ (- (/ (+ n f) (- f n))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) (cbrt (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 38 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (- (+ n f)) (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (- f n))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (sqrt (/ (/ (- (+ n f)) (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (- f n))))) (cbrt (sqrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 39 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ n f) (- f n)) (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (/ (+ n f) (- f n)) (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 40 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (sqrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 41 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (- (- n) f)) (/ (- f n) (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- (- n) f))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (/ (cbrt (- (- n) f)) (/ (- f n) (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- (- n) f))))) (cbrt (/ (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 42 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (- (+ n f))) (/ (- f n) (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f)))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (/ (cbrt (- (+ n f))) (/ (- f n) (+ n f))) (/ (sqrt (- f n)) (cbrt (- (+ n f)))))) (cbrt (/ (/ (cbrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 43 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cbrt (- (+ n f))) (+ n f)) (/ (cbrt (- (+ n f))) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (* (cbrt (- (+ n f))) (+ n f)) (/ (cbrt (- (+ n f))) (- f n)))) (cbrt (/ (/ (cbrt (- (- n) f)) (- f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 44 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (/ (sqrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 45 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (/ (sqrt (- f n)) (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (sqrt (- (- n) f)) (/ (sqrt (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 46 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (- (- n) f)) 1) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- (- f) n)) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (sqrt (- (- f) n)) (/ (+ n f) (- f n)))) (cbrt (/ (/ (sqrt (- (- n) f)) (- f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 47 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (- f n)) (cbrt (- 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 (49 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 48 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (- 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 (84 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ f n) (- f n)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (/ (+ f n) (- f n)) (sqrt (- f n)))) (cbrt (/ (/ (- (- n) f) (sqrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 49 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) (/ (- f n) (+ n f)))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 50 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (102 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (/ (- (- n) f) (- f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 51 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (- (- n) f) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (- (- n) f) (/ (+ n f) (- f n)))) (cbrt (/ (/ 1 (- f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 52 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (- (- n) f) (- (pow f 3) (pow n 3))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ n f) (- (pow f 3) (pow n 3))) (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (/ (+ n f) (- (pow f 3) (pow n 3))) (- (/ (+ n f) (- f n))))) (cbrt (/ (+ (* f f) (+ (* n n) (* f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 53 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (- (- n) f) (- (* f f) (* n n))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (+ n f) (- f n)) (+ n f)) (/ (- (+ n f)) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (/ (/ (+ n f) (- f n)) (+ n f)) (/ (- (+ n f)) (- f n)))) (cbrt (/ (+ f n) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 54 / 173 ] 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) to (λ (f n) (* (cbrt 1) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) * * * * [misc]progress: [ 55 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- 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 (cbrt (- (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (/ 1 (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))))))) * * * * [misc]progress: [ 56 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (- (- n) f) (- f n)) (* (- f n) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (+ n f)) (pow (- f n) 3))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (- (+ n f)) (pow (- f n) 3))) (cbrt (* (+ n f) (+ n f))))) * * * * [misc]progress: [ 57 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (- (+ n f)) (* (- f n) (- f n))) (/ (- f n) (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (/ (/ (- (+ n f)) (* (- f n) (- f n))) (/ (- f n) (+ n f)))) (cbrt (+ n f)))) * * * * [misc]progress: [ 58 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (- (- n) f) (- f n)) (* (- f n) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- (+ n f)) (* (- f n) (- f n))) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (* (/ (- (+ n f)) (* (- f n) (- f n))) (/ (+ n f) (- f n)))) (cbrt (+ n f)))) * * * * [misc]progress: [ 59 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- 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 (cbrt (- (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (cbrt (- (/ (+ n f) (- f n)))) (cbrt (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 60 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 173 ] 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: [ 66 / 173 ] 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: [ 67 / 173 ] 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: [ 68 / 173 ] 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: [ 69 / 173 ] 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: [ 70 / 173 ] 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: [ 71 / 173 ] 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: [ 72 / 173 ] 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: [ 73 / 173 ] 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: [ 74 / 173 ] 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: [ 75 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 173 ] 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: [ 78 / 173 ] 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: [ 79 / 173 ] 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: [ 80 / 173 ] 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: [ 81 / 173 ] 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: [ 82 / 173 ] 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: [ 83 / 173 ] 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: [ 84 / 173 ] 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: [ 85 / 173 ] 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: [ 86 / 173 ] 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: [ 87 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 173 ] 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: [ 92 / 173 ] 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: [ 93 / 173 ] 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: [ 94 / 173 ] 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: [ 95 / 173 ] 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: [ 96 / 173 ] 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: [ 97 / 173 ] 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: [ 98 / 173 ] 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: [ 99 / 173 ] 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: [ 100 / 173 ] 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: [ 101 / 173 ] 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: [ 102 / 173 ] 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: [ 103 / 173 ] 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: [ 104 / 173 ] 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: [ 105 / 173 ] 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: [ 106 / 173 ] 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: [ 107 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 173 ] 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: [ 111 / 173 ] 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: [ 112 / 173 ] 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: [ 113 / 173 ] 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: [ 114 / 173 ] 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: [ 115 / 173 ] 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: [ 116 / 173 ] 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: [ 117 / 173 ] 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: [ 118 / 173 ] 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: [ 119 / 173 ] 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: [ 120 / 173 ] 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: [ 121 / 173 ] 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: [ 122 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 173 ] 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: [ 124 / 173 ] 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: [ 125 / 173 ] 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: [ 126 / 173 ] 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: [ 127 / 173 ] 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: [ 128 / 173 ] 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: [ 129 / 173 ] 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: [ 130 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 173 ] 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: [ 132 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 133 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 173 ] 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: [ 135 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 173 ] 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: [ 140 / 173 ] 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: [ 141 / 173 ] 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: [ 142 / 173 ] 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: [ 143 / 173 ] 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: [ 144 / 173 ] 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: [ 145 / 173 ] 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: [ 146 / 173 ] 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: [ 147 / 173 ] 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: [ 148 / 173 ] 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: [ 149 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 150 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 173 ] 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: [ 153 / 173 ] 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: [ 154 / 173 ] 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: [ 155 / 173 ] 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: [ 156 / 173 ] 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: [ 157 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 173 ] 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: [ 159 / 173 ] 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: [ 160 / 173 ] 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: [ 161 / 173 ] 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: [ 162 / 173 ] 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: [ 163 / 173 ] 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: [ 164 / 173 ] 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: [ 165 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2) to (λ (f n) (cbrt -1)) * * * * [misc]progress: [ 166 / 173 ] 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 / 173 ] 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: [ 168 / 173 ] 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: [ 169 / 173 ] 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: [ 170 / 173 ] 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: [ 171 / 173 ] 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: [ 172 / 173 ] 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: [ 173 / 173 ] 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: 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 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [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 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (/ 1 f) (pow -1 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 (* (/ 1 f) (pow -1 1/3)) 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 (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) 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 (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [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]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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))) (+ (* (/ (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 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 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 (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 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: [ 2 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [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 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (/ 1 f) (pow -1 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 (* (/ 1 f) (pow -1 1/3)) 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 (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) 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 (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [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]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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))) (+ (* (/ (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 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 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 (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 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: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- n) f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- n) f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- n) f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- n) f) (- 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 (/ (- (- n) f) (- f n))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [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 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (/ 1 f) (pow -1 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 (* (/ 1 f) (pow -1 1/3)) 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 (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) 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 (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [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]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: 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) 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 (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (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))) (+ (* (/ (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))) (+ (* (/ (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 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 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 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 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 (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 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 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 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: [ 4 / 4 ] generating series at (2 2 1 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: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))) (cbrt (cbrt (/ (- (- n) f) (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (- 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 (sqrt (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (sqrt (- (/ (+ n f) (- f n))))) (cbrt (sqrt (/ (- (- n) f) (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) (cbrt (/ (cbrt (- (- n) f)) (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) (cbrt (/ (cbrt (- (- n) f)) (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) (cbrt (/ (cbrt (- (- n) f)) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (sqrt (- (- n) f)) (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (- n) f))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (sqrt (- (- n) f))) (cbrt (/ (sqrt (- (- n) f)) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (- (- n) f) (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (cbrt (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (- (- n) f) (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt 1) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 16 / 116 ] 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 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt 1) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 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 (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (/ 1 (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 18 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (- (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (+ n f)) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (/ (- (+ n f)) (- (pow f 3) (pow n 3)))) (cbrt (+ (* f f) (+ (* n n) (* f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1) (- f n))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (* (cbrt (/ (- 1) (- f n))) (cbrt (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 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 (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))) (cbrt (cbrt (/ (- (- n) f) (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (- 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 (sqrt (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (sqrt (- (/ (+ n f) (- f n))))) (cbrt (sqrt (/ (- (- n) f) (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) (cbrt (/ (cbrt (- (- n) f)) (cbrt (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) (cbrt (/ (cbrt (- (- n) f)) (sqrt (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) (cbrt (/ (cbrt (- (- n) f)) (- f n))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (sqrt (- (- n) f)) (cbrt (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (- n) f))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (sqrt (- (- n) f))) (cbrt (/ (sqrt (- (- n) f)) (- f n))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (- (- n) f) (cbrt (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (cbrt (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (- (- n) f) (sqrt (- f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt 1) (cbrt (/ (- (- n) f) (- f n))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 40 / 116 ] 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 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt 1) (cbrt (/ (- (- n) f) (- f n))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 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 (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (- (- n) f)) (cbrt (/ 1 (- f n))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (- (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (+ n f)) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (/ (- (+ n f)) (- (pow f 3) (pow n 3)))) (cbrt (+ (* f f) (+ (* n n) (* f n)))))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1) (- f n))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (* (cbrt (/ (- 1) (- f n))) (cbrt (+ f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 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 (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 45 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n)))))) (cbrt (cbrt (/ (- (- n) f) (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- (- 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 (sqrt (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (sqrt (- (/ (+ n f) (- f n))))) (cbrt (sqrt (/ (- (- n) f) (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) (cbrt (/ (cbrt (- (- n) f)) (cbrt (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (sqrt (- f n))))) (cbrt (/ (cbrt (- (- n) f)) (sqrt (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (* (cbrt (- (- n) f)) (cbrt (- (- n) f)))) (cbrt (/ (cbrt (- (- n) f)) (- f n)))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (sqrt (- (- n) f)) (cbrt (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n)))) (cbrt (/ (sqrt (- (- n) f)) (sqrt (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- (- n) f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (- n) f))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (sqrt (- (- n) f))) (cbrt (/ (sqrt (- (- n) f)) (- f n)))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (- (- n) f) (cbrt (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 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 (cbrt (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (- (- n) f) (sqrt (- f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt 1) (cbrt (/ (- (- n) f) (- f n)))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 64 / 116 ] 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 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt 1) (cbrt (/ (- (- n) f) (- f n)))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 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 (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (- (- n) f)) (cbrt (/ 1 (- f n)))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (- (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (+ n f)) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (/ (- (+ n f)) (- (pow f 3) (pow n 3)))) (cbrt (+ (* f f) (+ (* n n) (* f n))))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (- n) f) (- (* f f) (* n n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1) (- f n))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (* (cbrt (/ (- 1) (- f n))) (cbrt (+ f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- 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 (cbrt (- (- n) f)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (exp (- (log (- (+ n f))) (log (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (- (- n) f) (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (- (/ (- n) (- f n)) (/ f (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 83 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (* (/ (cbrt (- (- n) f)) (cbrt (- f n))) (/ (cbrt (- (- n) f)) (cbrt (- f n)))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 84 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (* (cbrt (- (- 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))) * * [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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (/ (cbrt (- (+ n f))) (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 85 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (cbrt (- (- n) f)) (- f n)))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (cbrt (- (- n) f)) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 86 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (- n) f)) (cbrt (- f n))))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 87 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (- n) f)) (sqrt (- f n))))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (sqrt (- (- n) f)) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 88 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (sqrt (- (+ n f))) (/ (sqrt (- (- n) f)) (- f n)))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (sqrt (- (+ n f))) (/ (sqrt (- (- n) f)) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 89 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (- n) f) (cbrt (- f n))))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 90 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ 1 (sqrt (- f n))) (/ (- (- n) f) (sqrt (- f n))))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ 1 (sqrt (- f n))) (/ (- (+ n f)) (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 91 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* 1 (/ (- (- n) f) (- f n)))) (/ (- 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 2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* 1 (- (/ (+ n f) (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 116 ] 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 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (/ (- (- n) f) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 96 / 116 ] 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 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (/ (- (- n) f) (sqrt (- f n))) (sqrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 97 / 116 ] 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 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (/ (- (- n) f) 1) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 98 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (/ (- f n) (cbrt (- (- n) f))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 99 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (sqrt (- (- n) f)) (/ (- f n) (sqrt (- (- n) f))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 116 ] 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 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (- (- n) f) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 102 / 116 ] 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 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (* (/ (- (- n) f) (- (* f f) (* n n))) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 103 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (+ (* (- f) (* f f)) (* (- n) (* n n))) (* (- f n) (+ (* (- n) (- n)) (+ (* f f) (* (- n) f)))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 104 / 116 ] 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 2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (* (+ f n) (- n f)) (* (- f n) (+ (- n) f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt -1) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt -1)) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) 1) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) 1) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt -1) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* 1 (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (* (cbrt (/ (* 1 (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt (/ (- (- n) f) (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt -1) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt 1) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (f n) (* (cbrt (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (/ (- f n) (+ n f)))) (cbrt (/ (cbrt 1) (/ (- f n) (+ n f)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (+ f n) (- f n)) (cbrt (- 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 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 (- 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 (cbrt (- f n)) in n * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]backup-simplify: Simplify (/ 1 (pow f 1/3)) into (pow (/ 1 f) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 f) 1/3) (pow f 1/3)) into (pow (/ 1 (pow f 2)) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ 1 (pow f 2)) 1/3)) into (log (pow (/ 1 (pow f 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (/ 1 (pow f 2)) 1/3))) into (* 1/3 (log (pow (/ 1 (pow f 2)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (/ 1 (pow f 2)) 1/3)))) into (pow (pow (/ 1 (pow f 2)) 1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (+ f n) (- f n)) (cbrt (- 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 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 (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]backup-simplify: Simplify (/ -1 (pow (- n) 1/3)) into (* -1 (pow (/ 1 (* n -1)) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]backup-simplify: Simplify (/ (* -1 (pow (/ 1 (* n -1)) 1/3)) (pow (- n) 1/3)) into (* -1 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) into (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))) into (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) into (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (+ f n) (- f n)) (cbrt (- 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 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 (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]backup-simplify: Simplify (/ -1 (pow (- n) 1/3)) into (* -1 (pow (/ 1 (* n -1)) 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]backup-simplify: Simplify (/ (* -1 (pow (/ 1 (* n -1)) 1/3)) (pow (- n) 1/3)) into (* -1 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) into (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))) into (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) into (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -1 (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 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of (* -1 (pow (/ 1 (pow n 2)) 1/3)) 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 (/ 1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) * [misc]backup-simplify: Simplify (* -1 (pow n -2/3)) into (* -1 (pow (/ 1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) into (log (* -1 (pow (/ 1 (pow n 2)) 1/3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))) into (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) into (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) * [misc]backup-simplify: Simplify (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) into (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (- n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 n))) (pow (- n) 1/3)) (+ (* (* -1 (pow (/ 1 (* n -1)) 1/3)) (/ (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) (pow (- n) 1/3))))) into (- (* 7/3 (pow (/ -1 (pow n 4)) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (- n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (* 7/3 (pow (/ -1 (pow n 4)) 1/3))) (pow (- n) 1/3)) (+ (* (* -1 (pow (/ 1 (pow n 2)) 1/3)) (/ (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) (pow (- n) 1/3))))) into (- (* 8/3 (pow (/ 1 (pow n 5)) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 8/3 (pow (/ 1 (pow n 5)) 1/3)))) 1)) (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1)))) 1) into (/ 8/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 8/3 n)) (* 0 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) into (* 8/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 1) 1)))) into (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) in n * [misc]taylor: Taking taylor expansion of 8/9 in n * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3)) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 11)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 11))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 11)))) in n * [misc]taylor: Taking taylor expansion of 1/9 in n * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 11))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 11)) in n * [misc]taylor: Taking taylor expansion of (pow n 11) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 11) (log n)) 0) into (- (* 11 (log n))) * [misc]backup-simplify: Simplify (* 1/9 (- (* 11 (log n)))) into (* -11/9 (log n)) * [misc]backup-simplify: Simplify (exp (* -11/9 (log n))) into (pow n -11/9) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow n -11/9) (pow -1 1/3)) into (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) into (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) * [misc]backup-simplify: Simplify (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) into (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow n -2/3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (pow n 2)))) (pow (- n) 1/3)) (+ (* (* -1 (pow (/ 1 (* n -1)) 1/3)) (/ (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) (pow (- n) 1/3))) (* (- (* 7/3 (pow (/ -1 (pow n 4)) 1/3))) (/ (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) (pow (- n) 1/3))))) into (- (* 26/9 (pow (/ -1 (pow n 7)) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (* 26/9 (pow (/ -1 (pow n 7)) 1/3))) (pow (- n) 1/3)) (+ (* (* -1 (pow (/ 1 (pow n 2)) 1/3)) (/ (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) (pow (- n) 1/3))) (* (- (* 8/3 (pow (/ 1 (pow n 5)) 1/3))) (/ (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) (pow (- n) 1/3))))) into (- (* 35/9 (pow (/ 1 (pow n 8)) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 8/3 (pow (/ 1 (pow n 5)) 1/3)))) 2)) (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 35/9 (pow (/ 1 (pow n 8)) 1/3)))) 1)) (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1)))) 2) into (/ 1/3 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 2))) (+ (* 0 (/ 8/3 n)) (* 0 (log (* -1 (pow (/ 1 (pow n 2)) 1/3)))))) into (* 1/9 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -1 (pow (/ 1 (pow n 2)) 1/3))))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 2) 2)) (* (/ (pow (* 1/9 (/ 1 (pow n 2))) 1) 1)))) into (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) in n * [misc]taylor: Taking taylor expansion of 41/81 in n * [misc]backup-simplify: Simplify 41/81 into 41/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3)) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow n 20)) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow n 20))))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (/ 1 (pow n 20)))) in n * [misc]taylor: Taking taylor expansion of 1/9 in n * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow n 20))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 20)) in n * [misc]taylor: Taking taylor expansion of (pow n 20) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 20) (log n)) 0) into (- (* 20 (log n))) * [misc]backup-simplify: Simplify (* 1/9 (- (* 20 (log n)))) into (* -20/9 (log n)) * [misc]backup-simplify: Simplify (exp (* -20/9 (log n))) into (pow n -20/9) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow n -20/9) (pow -1 1/3)) into (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) into (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) * [misc]backup-simplify: Simplify (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) into (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) * [misc]backup-simplify: Simplify (+ (* (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (pow -1 1/3))) (pow (* 1 f) 2)) (+ (* (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (pow -1 1/3))) (* 1 f)) (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3))) into (+ (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) (+ (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (* (pow f 2) (pow -1 1/3)))) (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (* f (pow -1 1/3)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 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) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ -1 (exp (* 1/3 (- (log -1) (log n))))) into (/ -1 (exp (* 1/3 (- (log -1) (log n))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (/ (/ -1 (exp (* 1/3 (- (log -1) (log n))))) (exp (* 1/3 (- (log -1) (log n))))) into (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2)) * [misc]backup-simplify: Simplify (log (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) into (log (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2)))) into (* 1/3 (log (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2))))) into (pow (/ -1 (pow (exp (* 1/3 (- (log -1) (log n)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 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) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow f -1/3)) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (/ (pow f 1/3) (pow f -1/3)) into (pow (pow f 2) 1/3) * [misc]backup-simplify: Simplify (log (pow (pow f 2) 1/3)) into (log (pow (pow f 2) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow f 2) 1/3))) into (* 1/3 (log (pow (pow f 2) 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow f 2) 1/3)))) into (pow (pow (pow f 2) 1/3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 1 f) (/ 1 n)))) (cbrt (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) (cbrt (- (/ 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) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (/ 1 (pow f -1/3)) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (/ (pow f 1/3) (pow f -1/3)) into (pow (pow f 2) 1/3) * [misc]backup-simplify: Simplify (log (pow (pow f 2) 1/3)) into (log (pow (pow f 2) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow f 2) 1/3))) into (* 1/3 (log (pow (pow f 2) 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow f 2) 1/3)))) into (pow (pow (pow f 2) 1/3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow f 2) 1/3) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow f 2) 1/3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow f 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 (log (pow (pow f 2) 1/3)) in n * [misc]taylor: Taking taylor expansion of (pow (pow f 2) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow f 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow f 2))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log f))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log f)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log 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 (* 2 (log f)) into (* 2 (log f)) * [misc]backup-simplify: Simplify (exp (* 2 (log f))) into (pow f 2) * [misc]backup-simplify: Simplify (log (pow f 2)) into (log (pow f 2)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow f 2))) into (* 1/3 (log (pow f 2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow f 2)))) into (pow (pow f 2) 1/3) * [misc]backup-simplify: Simplify (log (pow (pow f 2) 1/3)) into (log (pow (pow f 2) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow f 2) 1/3))) into (* 1/3 (log (pow (pow f 2) 1/3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow f 2) 1/3)))) into (pow (pow (pow f 2) 1/3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (pow f 2) 1/3) 1/3) into (pow (pow (pow f 2) 1/3) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (+ (* 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 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 n)) (pow f -1/3)) (+ (* (pow f 1/3) (/ (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 7/3 (* (/ 1 n) (pow f 1/3))) * [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 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* 7/3 (* (/ 1 n) (pow f 1/3))) (pow f -1/3)) (+ (* (pow (pow f 2) 1/3) (/ (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3)))) 1)) (pow (pow (pow f 2) 1/3) 1)))) 1) into (/ 8/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 8/3 n)) (* 0 (log (pow (pow f 2) 1/3)))) into (* 8/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow f 2) 1/3)))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 1) 1)))) into (* 8/9 (* (/ 1 n) (pow (pow f 2) 1/9))) * [misc]taylor: Taking taylor expansion of (* 8/9 (* (/ 1 n) (pow (pow f 2) 1/9))) in n * [misc]taylor: Taking taylor expansion of 8/9 in n * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (pow f 2) 1/9)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (pow f 2) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (pow f 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (pow f 2))) in n * [misc]taylor: Taking taylor expansion of 1/9 in n * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log f))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log f)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log 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 (* 2 (log f)) into (* 2 (log f)) * [misc]backup-simplify: Simplify (exp (* 2 (log f))) into (pow f 2) * [misc]backup-simplify: Simplify (log (pow f 2)) into (log (pow f 2)) * [misc]backup-simplify: Simplify (* 1/9 (log (pow f 2))) into (* 1/9 (log (pow f 2))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (pow f 2)))) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow f 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (pow f 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (pow f 2) 1/9))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (pow f 2) 1/9)) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (+ (* 8/9 0) (* 0 (pow (pow f 2) 1/9))) 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 (+ (* 2 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow f 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow f 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow f 2) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow f 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow f 2) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (+ (* 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 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow n 2))) (pow f -1/3)) (+ (* (pow f 1/3) (/ (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) (pow f -1/3))) (* (* 7/3 (* (/ 1 n) (pow f 1/3))) (/ (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 26/9 (* (/ 1 (pow n 2)) (pow f 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* 26/9 (* (/ 1 (pow n 2)) (pow f 1/3))) (pow f -1/3)) (+ (* (pow (pow f 2) 1/3) (/ (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) (pow f -1/3))) (* (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3))) (/ (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 35/9 (* (/ 1 (pow n 2)) (pow (pow f 2) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3)))) 2)) (pow (pow (pow f 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 35/9 (* (/ 1 (pow n 2)) (pow (pow f 2) 1/3)))) 1)) (pow (pow (pow f 2) 1/3) 1)))) 2) into (/ 1/3 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 2))) (+ (* 0 (/ 8/3 n)) (* 0 (log (pow (pow f 2) 1/3))))) into (* 1/9 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow f 2) 1/3)))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 2) 2)) (* (/ (pow (* 1/9 (/ 1 (pow n 2))) 1) 1)))) into (* 41/81 (* (/ 1 (pow n 2)) (pow (pow f 2) 1/9))) * [misc]taylor: Taking taylor expansion of (* 41/81 (* (/ 1 (pow n 2)) (pow (pow f 2) 1/9))) in n * [misc]taylor: Taking taylor expansion of 41/81 in n * [misc]backup-simplify: Simplify 41/81 into 41/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (pow f 2) 1/9)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (pow f 2) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (pow f 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (pow f 2))) in n * [misc]taylor: Taking taylor expansion of 1/9 in n * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log f))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log f)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log 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 (* 2 (log f)) into (* 2 (log f)) * [misc]backup-simplify: Simplify (exp (* 2 (log f))) into (pow f 2) * [misc]backup-simplify: Simplify (log (pow f 2)) into (log (pow f 2)) * [misc]backup-simplify: Simplify (* 1/9 (log (pow f 2))) into (* 1/9 (log (pow f 2))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (pow f 2)))) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow f 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (pow f 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 (+ (* 2 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow f 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow f 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 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 (pow f 2) 1/9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (pow f 2) 1/9))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (pow f 2) 1/9)) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (+ (* 41/81 0) (+ (* 0 0) (* 0 (pow (pow f 2) 1/9)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow f 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow f 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (pow f 2) 1/9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (pow f 2) 1/9)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow f 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow f 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow f 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow f 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow f 2) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow f 2) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow f 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow f 2) 1/3)))) (+ (* (/ (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 (- (+ (* 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 (- (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow n 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow n 3))) (pow f -1/3)) (+ (* (pow f 1/3) (/ (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) (pow f -1/3))) (* (* 7/3 (* (/ 1 n) (pow f 1/3))) (/ (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) (pow f -1/3))) (* (* 26/9 (* (/ 1 (pow n 2)) (pow f 1/3))) (/ (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 266/81 (* (/ 1 (pow n 3)) (pow f 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow n 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* 266/81 (* (/ 1 (pow n 3)) (pow f 1/3))) (pow f -1/3)) (+ (* (pow (pow f 2) 1/3) (/ (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) (pow f -1/3))) (* (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3))) (/ (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) (pow f -1/3))) (* (* 35/9 (* (/ 1 (pow n 2)) (pow (pow f 2) 1/3))) (/ (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) (pow f -1/3))))) into (* 400/81 (* (/ 1 (pow n 3)) (pow (pow f 2) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3)))) 3)) (pow (pow (pow f 2) 1/3) 3))) (* -3 (/ (* (pow (* 1 (* 8/3 (* (/ 1 n) (pow (pow f 2) 1/3)))) 1) (pow (* 2 (* 35/9 (* (/ 1 (pow n 2)) (pow (pow f 2) 1/3)))) 1)) (pow (pow (pow f 2) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 400/81 (* (/ 1 (pow n 3)) (pow (pow f 2) 1/3)))) 1)) (pow (pow (pow f 2) 1/3) 1)))) 6) into (/ 8/9 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 8/9 (pow n 3))) (+ (* 0 (/ 1/3 (pow n 2))) (+ (* 0 (/ 8/3 n)) (* 0 (log (pow (pow f 2) 1/3)))))) into (* 8/27 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow f 2) 1/3)))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 3) 6)) (* (/ (pow (* 8/9 (/ 1 n)) 1) 1) (/ (pow (* 1/9 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 8/27 (/ 1 (pow n 3))) 1) 1)))) into (* 1120/2187 (* (/ 1 (pow n 3)) (pow (pow f 2) 1/9))) * [misc]taylor: Taking taylor expansion of (* 1120/2187 (* (/ 1 (pow n 3)) (pow (pow f 2) 1/9))) in n * [misc]taylor: Taking taylor expansion of 1120/2187 in n * [misc]backup-simplify: Simplify 1120/2187 into 1120/2187 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (pow f 2) 1/9)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (pow f 2) 1/9) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/9 (log (pow f 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/9 (log (pow f 2))) in n * [misc]taylor: Taking taylor expansion of 1/9 in n * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (log (pow f 2)) in n * [misc]taylor: Taking taylor expansion of (pow f 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log f))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log f)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log 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 (* 2 (log f)) into (* 2 (log f)) * [misc]backup-simplify: Simplify (exp (* 2 (log f))) into (pow f 2) * [misc]backup-simplify: Simplify (log (pow f 2)) into (log (pow f 2)) * [misc]backup-simplify: Simplify (* 1/9 (log (pow f 2))) into (* 1/9 (log (pow f 2))) * [misc]backup-simplify: Simplify (exp (* 1/9 (log (pow f 2)))) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow f 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (log (pow f 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 (+ (* 2 0) (+ (* 0 0) (* 0 (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow f 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow f 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (pow f 2))))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log f))) (+ (* (/ (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 (pow f 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow f 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow f 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow f 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/9 (log (pow f 2)))) (+ (* (/ (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 (pow f 2) 1/9))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (pow f 2) 1/9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (pow f 2) 1/9))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (pow f 2) 1/9)) into (pow (pow f 2) 1/9) * [misc]backup-simplify: Simplify (+ (* 1120/2187 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow f 2) 1/9))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (pow (/ 1 f) 2) 1/3) 1/3) into (pow (pow (pow (/ 1 f) 2) 1/3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 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)) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]backup-simplify: Simplify (/ -1 (pow n -1/3)) into (* -1 (pow n 1/3)) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]backup-simplify: Simplify (/ (* -1 (pow n 1/3)) (pow n -1/3)) into (* -1 (pow (pow n 2) 1/3)) * [misc]backup-simplify: Simplify (log (* -1 (pow (pow n 2) 1/3))) into (log (* -1 (pow (pow n 2) 1/3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -1 (pow (pow n 2) 1/3)))) into (* 1/3 (log (* -1 (pow (pow n 2) 1/3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -1 (pow (pow n 2) 1/3))))) into (pow (* -1 (pow (pow n 2) 1/3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 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)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/3 (- (log -1) (log f))))) into (/ 1 (exp (* 1/3 (- (log -1) (log f))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (/ 1 (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) into (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) into (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) into (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) into (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Rewrote expression to (pow (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) (cbrt (- (/ 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)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 1/3 (- (log -1) (log f))))) into (/ 1 (exp (* 1/3 (- (log -1) (log f))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (/ 1 (exp (* 1/3 (- (log -1) (log f))))) (exp (* 1/3 (- (log -1) (log f))))) into (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) into (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) into (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) into (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log f))))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log f)))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log f))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log f)))) into (* 2/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log f)))) into (exp (* 2/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2/3 (- (log -1) (log f))))) into (/ 1 (exp (* 2/3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) into (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) into (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log 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 (- 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 (- 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 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow -1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log -1) (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 n)) (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ 1 (exp (* 1/3 (- (log -1) (log f))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 7/3 (/ 1 (* n (exp (* 1/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow -1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log -1) (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]backup-simplify: Simplify (- (/ (* 7/3 (/ 1 (* n (exp (* 1/3 (- (log -1) (log f))))))) (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 1)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1)))) 1) into (/ 8/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 8/3 n)) (* 0 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) into (* 8/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 1) 1)))) into (* 8/9 (* (/ 1 n) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* 8/9 (* (/ 1 n) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of 8/9 in n * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log f))))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log f)))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log f))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log f)))) into (* 2/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log f)))) into (exp (* 2/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2/3 (- (log -1) (log f))))) into (/ 1 (exp (* 2/3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) into (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) into (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log 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 (exp (* 2/3 (- (log -1) (log f))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3)) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [misc]backup-simplify: Simplify (+ (* 8/9 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow n 2))) (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ 1 (exp (* 1/3 (- (log -1) (log f))))) (/ (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) (exp (* 1/3 (- (log -1) (log f)))))) (* (* 7/3 (/ 1 (* n (exp (* 1/3 (- (log -1) (log f))))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 26/9 (/ 1 (* (pow n 2) (exp (* 1/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]backup-simplify: Simplify (- (/ (* 26/9 (/ 1 (* (pow n 2) (exp (* 1/3 (- (log -1) (log f))))))) (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) (/ (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) (exp (* 1/3 (- (log -1) (log f)))))) (* (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 35/9 (/ 1 (* (pow n 2) (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 2)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 35/9 (/ 1 (* (pow n 2) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 1)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1)))) 2) into (/ 1/3 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow n 2))) (+ (* 0 (/ 8/3 n)) (* 0 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))))) into (* 1/9 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 2) 2)) (* (/ (pow (* 1/9 (/ 1 (pow n 2))) 1) 1)))) into (* 41/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* 41/81 (* (/ 1 (pow n 2)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of 41/81 in n * [misc]backup-simplify: Simplify 41/81 into 41/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log f))))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log f)))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log f))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log f)))) into (* 2/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log f)))) into (exp (* 2/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2/3 (- (log -1) (log f))))) into (/ 1 (exp (* 2/3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) into (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) into (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))) (* 0 (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log 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 (exp (* 2/3 (- (log -1) (log 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 (exp (* 2/3 (- (log -1) (log f))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3)) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [misc]backup-simplify: Simplify (+ (* 41/81 0) (+ (* 0 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))) (* 0 (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log 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 (exp (* 2/3 (- (log -1) (log f))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))) (* 0 (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (- 0) into 0 * [misc]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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow n 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 (pow n 3))) (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ 1 (exp (* 1/3 (- (log -1) (log f))))) (/ (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) (exp (* 1/3 (- (log -1) (log f)))))) (* (* 7/3 (/ 1 (* n (exp (* 1/3 (- (log -1) (log f))))))) (/ (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) (exp (* 1/3 (- (log -1) (log f)))))) (* (* 26/9 (/ 1 (* (pow n 2) (exp (* 1/3 (- (log -1) (log f))))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 266/81 (/ 1 (* (pow n 3) (exp (* 1/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f)))))) into (- (* 1/9 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow n 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) * [misc]backup-simplify: Simplify (- (/ (* 266/81 (/ 1 (* (pow n 3) (exp (* 1/3 (- (log -1) (log f))))))) (exp (* 1/3 (- (log -1) (log f))))) (+ (* (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) (/ (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) (exp (* 1/3 (- (log -1) (log f)))))) (* (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) (/ (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) (exp (* 1/3 (- (log -1) (log f)))))) (* (* 35/9 (/ 1 (* (pow n 2) (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) (/ (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) (exp (* 1/3 (- (log -1) (log f)))))))) into (* 400/81 (/ 1 (* (pow n 3) (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 3)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 3))) (* -3 (/ (* (pow (* 1 (* 8/3 (/ 1 (* n (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 1) (pow (* 2 (* 35/9 (/ 1 (* (pow n 2) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 1)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 400/81 (/ 1 (* (pow n 3) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) 1)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1)))) 6) into (/ 8/9 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 8/9 (pow n 3))) (+ (* 0 (/ 1/3 (pow n 2))) (+ (* 0 (/ 8/3 n)) (* 0 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))))) into (* 8/27 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) (+ (* (/ (pow (* 8/9 (/ 1 n)) 3) 6)) (* (/ (pow (* 8/9 (/ 1 n)) 1) 1) (/ (pow (* 1/9 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 8/27 (/ 1 (pow n 3))) 1) 1)))) into (* 1120/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* 1120/2187 (* (/ 1 (pow n 3)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1120/2187 in n * [misc]backup-simplify: Simplify 1120/2187 into 1120/2187 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (exp (* 1/3 (- (log -1) (log f)))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log -1) (log f)))) 2) in n * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log -1) (log f))))))) in n * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log -1) (log f)))))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log -1) (log f))))) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log f))))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log -1) (log f)))) into (* 2/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log -1) (log f)))) into (exp (* 2/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2/3 (- (log -1) (log f))))) into (/ 1 (exp (* 2/3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) into (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) into (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))) (* 0 (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 2/3 (- (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log -1) (log f)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log -1) (log f)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log -1) (log f))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2/3 (- (log -1) (log f))))) (/ 0 (exp (* 2/3 (- (log -1) (log f)))))) (* 0 (/ 0 (exp (* 2/3 (- (log -1) (log f)))))) (* 0 (/ 0 (exp (* 2/3 (- (log -1) (log f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log f)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 2/3 (- (log -1) (log 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 (exp (* 2/3 (- (log -1) (log 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 (exp (* 2/3 (- (log -1) (log f))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3)) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3) * [misc]backup-simplify: Simplify (+ (* 1120/2187 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (exp (* 2/3 (- (log -1) (log f))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 2/3 (- (log -1) (log (/ 1 (- f))))))) 1/3) into (pow (/ 1 (exp (* 2/3 (- (log -1) (log (/ -1 f)))))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (- n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of -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)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]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 (/ 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 (/ (+ (* 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]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow -1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log -1) (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]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 (- 0) into 0 * [misc]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 (/ (+ (* 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]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (- n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of -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)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]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 (/ 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 (/ (+ (* 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]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow -1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log -1) (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]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 (- 0) into 0 * [misc]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 (/ (+ (* 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]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- f n)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in n * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- f n)) in f * [misc]taylor: Rewrote expression to (pow (- f n) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- f n))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (log (- n)) into (log (- n)) * [misc]backup-simplify: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- n) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- n))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- n) 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (- n)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow n 5))) in n * [misc]taylor: Taking taylor expansion of (/ -1 (pow n 5)) in n * [misc]taylor: Taking taylor expansion of -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)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 f) (/ 1 n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]taylor: Taking taylor expansion of (pow f -1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log f))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (log f)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) * [misc]backup-simplify: Simplify (pow f -1/3) into (pow f -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (log (/ 1 f)) into (log (/ 1 f)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]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 (/ 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 (/ (+ (* 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]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- f)) (/ 1 (- n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow -1 1)))) 1) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log -1) (log f)))) into (- (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1/9 in n * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log f)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]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 (- 0) into 0 * [misc]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 (/ (+ (* 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]progress: simplifying candidates * * * * [misc]progress: [ 1 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) (cbrt (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 6 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ (/ (+ f n) (- 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 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (sqrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (sqrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 7 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 8 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) (cbrt (/ (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 9 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (/ (cbrt 1) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (/ (cbrt 1) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))))) (cbrt (/ (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 10 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 11 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 12 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))))) (cbrt (/ (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 13 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 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 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 14 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 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 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 15 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt 1))) (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 16 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 17 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 18 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (sqrt (/ (/ (+ n f) (- f n)) (cbrt (- f n))))) (cbrt (/ (sqrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 19 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 20 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 21 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 22 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 23 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (/ (+ n f) (- f n))) (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (/ (+ n f) (- f n))) (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 24 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 25 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 26 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 27 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 28 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 29 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (sqrt (cbrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (/ (sqrt (cbrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 30 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (/ (+ n f) (- f n))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 31 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 32 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 33 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 34 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 35 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 36 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (/ (+ n f) (- f n))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 37 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 38 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 39 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 40 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 41 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 42 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 43 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (/ (sqrt (cbrt (- f n))) (cbrt (/ (+ n f) (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (/ (sqrt (cbrt (- f n))) (cbrt (/ (+ n f) (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 44 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (/ (cbrt (sqrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (/ (cbrt (sqrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 45 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt 1)))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 46 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 47 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (cbrt (- f n)) (cbrt (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (cbrt (- f n)) (cbrt (/ (+ n f) (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 48 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (/ (+ n f) (- f n))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 49 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 50 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (cbrt (sqrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (cbrt (sqrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 51 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (cbrt 1) (cbrt (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (cbrt 1) (cbrt (/ (+ n f) (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 52 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (/ (cbrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 53 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (sqrt (cbrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (/ (+ n f) (- f n))) (/ (sqrt (cbrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 54 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (cbrt (* (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))))) (cbrt (/ (/ (cbrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 55 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 56 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 57 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 58 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 59 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 60 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 61 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 62 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 63 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (cbrt 1))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 64 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 65 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 66 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 67 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 68 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 69 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 70 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 71 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 72 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 73 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 74 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 75 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 76 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 77 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 78 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 79 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 80 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 81 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 82 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 83 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 84 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 85 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 86 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 87 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (cbrt 1))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 88 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 89 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (/ (+ n f) (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 90 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) 1) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (sqrt (/ (+ n f) (- f n)))) (cbrt (/ (/ (sqrt (/ (+ f n) (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 91 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 92 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- 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)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 93 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (/ (/ (cbrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (/ (/ (cbrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 94 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 95 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 96 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (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)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 97 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- 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)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 98 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 99 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 100 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 101 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (sqrt (- 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)))) (* (sqrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 102 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (cbrt (sqrt (- 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)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 103 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 104 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (cbrt 1) (cbrt (sqrt (- 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)))) (* (cbrt 1) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 105 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 106 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 107 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 108 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt 1) (/ (cbrt (+ n f)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt 1) (/ (cbrt (+ n f)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 109 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 110 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 111 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 112 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 113 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 114 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 115 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 116 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (sqrt (- 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)))) (* (sqrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 117 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 118 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 119 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (- f n))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 120 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (sqrt (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)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 121 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (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)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 122 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (cbrt (sqrt (- 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)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 123 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 124 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 125 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (- f n))) (sqrt (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))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 126 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (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))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 127 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 128 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 129 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt 1) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt 1) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 130 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 131 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 132 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 133 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 134 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (/ (sqrt (- f n)) (cbrt (+ n f)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 135 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 136 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (sqrt (- f n)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (sqrt (- f n)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 137 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 138 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (/ (sqrt (- f n)) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (/ (sqrt (- f n)) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 139 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 140 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 141 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (sqrt (- f n)) (* (cbrt 1) (cbrt 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (sqrt (- f n)) (* (cbrt 1) (cbrt 1))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 142 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt 1) (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt 1) (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 143 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (sqrt (cbrt (- f n))) (* (cbrt 1) (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (sqrt (cbrt (- f n))) (* (cbrt 1) (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 144 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt 1)) (/ (sqrt (- f n)) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt 1)) (/ (sqrt (- f n)) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 145 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 146 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (cbrt (sqrt (- f n))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (cbrt (sqrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 147 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 148 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (/ (cbrt (- f n)) (cbrt (+ n f)))) (* (cbrt (cbrt (- f n))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (/ (cbrt (- f n)) (cbrt (+ n f)))) (* (cbrt (cbrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 149 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (sqrt (cbrt (- f n))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (sqrt (cbrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 150 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (* (/ (sqrt (- f n)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (* (/ (sqrt (- f n)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 151 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 152 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 153 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (* (cbrt 1) (sqrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (* (cbrt 1) (sqrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 154 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (sqrt (cbrt (- f n))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n))))) (* (sqrt (cbrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 155 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 156 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 157 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 158 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 159 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (cbrt (+ n f)) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 160 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (cbrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (cbrt (- f n))) (/ (cbrt (+ n f)) (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 161 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (sqrt (cbrt (- f n))) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (sqrt (cbrt (- f n))) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 162 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 163 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 164 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 165 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 166 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 167 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 168 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 169 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 170 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 171 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (+ n f)) (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 172 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 173 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (/ (sqrt (cbrt (- f n))) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))) (/ (sqrt (cbrt (- f n))) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 174 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 175 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (/ (cbrt (+ n f)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 176 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 177 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (cbrt 1)))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 178 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt 1))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 179 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt 1)) (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 180 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ n f)) (/ (cbrt 1) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (+ n f)) (/ (cbrt 1) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 181 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 182 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 183 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (/ (cbrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 184 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 185 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 186 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 187 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 188 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (/ (cbrt (sqrt (- f n))) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (cbrt (+ n f)) (sqrt (cbrt (- f n)))) (/ (cbrt (sqrt (- f n))) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 189 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ n f)) (/ (/ (cbrt (+ n f)) (cbrt 1)) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (cbrt (+ n f)) (/ (/ (cbrt (+ n f)) (cbrt 1)) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 190 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 191 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ n f)) (/ (cbrt (- f n)) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (+ n f)) (/ (cbrt (- f n)) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 192 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 193 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 194 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 195 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ n f)) (/ (cbrt 1) (cbrt (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (cbrt (+ n f)) (/ (cbrt 1) (cbrt (+ n f))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 196 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (* (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 197 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (cbrt (+ f n)) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 198 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 1) 1)) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 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 (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 199 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (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)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 200 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (* (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)))) (* (cbrt (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 201 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (cbrt (* (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)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 202 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 203 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 204 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (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))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 205 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 206 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 207 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 208 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 209 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 210 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 211 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 212 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt 1) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt 1) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 213 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 214 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (* (* (cbrt 1) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (* (* (cbrt 1) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 215 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 216 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 217 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 218 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 219 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 220 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 221 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 222 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 223 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 224 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 225 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 226 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 227 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (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)))) (cbrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 228 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 229 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (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))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 230 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 231 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 232 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 233 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (* (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (* (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 234 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (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)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 235 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 236 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 237 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 238 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (* (sqrt (- f n)) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (* (sqrt (- f n)) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 239 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 240 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 241 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 242 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 243 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))) (sqrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 244 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 245 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 246 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 247 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 248 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n)))) (sqrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 249 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 250 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (* (* (cbrt 1) (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (* (* (cbrt 1) (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 251 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (* (cbrt 1) (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 252 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (* (sqrt (- f n)) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (* (sqrt (- f n)) (cbrt 1)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 253 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 254 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 255 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt 1) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt 1) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 256 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (sqrt (- f n))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (sqrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 257 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 258 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 259 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 260 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (sqrt (- f n)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (sqrt (- f n)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 261 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 262 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 263 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 264 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 265 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 266 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 267 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (sqrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 268 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 269 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 270 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (sqrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 271 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 272 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 273 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 274 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (* (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (* (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 275 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 276 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 277 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 278 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 279 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 280 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 281 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 282 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 283 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 284 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 285 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 286 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (sqrt (+ n f)) (cbrt 1)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 287 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 288 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt 1))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 289 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 290 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 291 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 292 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 293 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 294 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 295 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 296 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 297 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 298 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 299 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt (- f n)))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 300 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 301 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 302 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 303 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (cbrt 1))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 304 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (sqrt (+ n f)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 305 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ n f)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (sqrt (+ n f)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 306 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (sqrt (+ f n)) 1) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (sqrt (+ n f))) (cbrt (/ (/ (/ (sqrt (+ f n)) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 307 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (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 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 308 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 309 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 310 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 311 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (sqrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (sqrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 312 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 313 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 314 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 315 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 316 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 317 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 318 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 319 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 320 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt 1) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt 1) (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 321 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n))) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n))) (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 322 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 323 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (* (sqrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (* (sqrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 324 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 325 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 326 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (* (cbrt (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (* (cbrt (cbrt (- f n))) (cbrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 327 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt 1))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 328 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 329 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 330 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 331 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 332 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (sqrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (sqrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 333 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt 1) (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 334 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (* (cbrt (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (cbrt (- f n))))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 335 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 336 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 337 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt (* (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 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 338 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 339 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 340 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 341 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 342 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 1) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 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)))) (cbrt (/ (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 343 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 344 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 345 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 346 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (* (sqrt (- f n)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (* (sqrt (- f n)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 347 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 348 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 349 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 350 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 351 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 352 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 353 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 354 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 355 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 356 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 357 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 358 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (* (cbrt 1) (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (* (cbrt 1) (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 359 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 360 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (sqrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 361 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 362 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 363 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt 1)))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 364 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt (- f n)) (sqrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt (- f n)) (sqrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 365 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 366 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 367 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 368 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (sqrt (- f n)) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (sqrt (- f n)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 369 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (sqrt (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 370 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 371 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 372 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 373 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 374 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 375 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (sqrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 376 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 377 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 378 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 (sqrt (- f n))) 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (sqrt (- f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 379 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 380 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 381 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 382 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 383 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 384 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 385 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 386 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 387 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 388 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 389 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 390 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 391 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 392 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 393 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 394 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt 1) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt 1) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 395 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 396 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (cbrt 1)) 1)) * * [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 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 397 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 398 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 399 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 400 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 401 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 402 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 403 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 404 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 405 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 406 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 407 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 408 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 409 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 410 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 411 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 412 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 413 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 414 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ 1 1) 1) 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt 1) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 415 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 416 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 417 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 418 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 419 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 420 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 421 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 422 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 423 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 424 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 425 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 426 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 427 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 428 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 429 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 430 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 431 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 432 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 433 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 434 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 435 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 436 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 437 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 438 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 439 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 440 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 441 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 442 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 443 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (- f n)))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 444 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 445 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 446 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 447 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) (cbrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 448 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 449 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 450 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt 1) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 451 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 452 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 453 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 454 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 455 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 456 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 457 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 458 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- 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 (cbrt (/ (+ n f) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 459 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 460 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 461 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 462 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 463 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 464 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 465 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 466 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 467 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 468 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (cbrt 1)) 1)) * * [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 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt 1))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 469 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 470 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 471 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (cbrt 1) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (cbrt 1) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 472 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (- f n))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 473 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (sqrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 474 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 475 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 476 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 477 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 478 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 479 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt (- f n)))) (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 480 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 481 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 482 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 483 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) 1) (cbrt 1))) * * [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 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (cbrt 1))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 484 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 485 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 486 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) 1) 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 (cbrt (+ n f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 487 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 488 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 489 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 490 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (* (cbrt (cbrt (- f n))) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (* (cbrt (cbrt (- f n))) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 491 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 492 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 493 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 494 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 495 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 496 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 497 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (sqrt (cbrt (- f n)))) (* (cbrt (sqrt (- f n))) (- (pow f 3) (pow n 3))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 498 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 499 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 500 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 501 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 502 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 503 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 504 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3)))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 505 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (- (pow f 3) (pow n 3))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 506 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 507 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 508 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (- f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 509 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 510 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (- (pow f 3) (pow n 3)) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (cbrt (- f n)))) (* (- (pow f 3) (pow n 3)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 511 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 512 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (* (sqrt (cbrt (- f n))) (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt (sqrt (- f n)))) (* (sqrt (cbrt (- f n))) (- (pow f 3) (pow n 3))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 513 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 514 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 515 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (- f n)))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 516 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 517 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 518 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 519 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (- (pow f 3) (pow n 3)))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 520 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 521 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- (pow f 3) (pow n 3))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 522 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (pow f 3) (pow n 3))) 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 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)))) (cbrt (/ (/ (+ (* f f) (+ (* n n) (* f n))) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 523 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 524 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 525 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 526 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 527 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 528 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 529 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 530 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 531 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (sqrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 532 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 533 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 534 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt (sqrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (sqrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 535 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt 1)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 536 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt 1)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt 1) (- f n))) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt 1) (- f n))) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 537 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (* (cbrt 1) (cbrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (* (cbrt 1) (cbrt 1)))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 538 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt 1) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt 1) (- f n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 539 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt 1)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (* (cbrt 1) (- f n))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (* (cbrt 1) (- f n))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 540 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (cbrt 1)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (- f n))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 541 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n))))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 542 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 543 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 544 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 545 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 546 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 547 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (sqrt (cbrt (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 548 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (sqrt (- f n)))) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 549 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (sqrt (cbrt (- f n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (cbrt 1)) (- f n)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 550 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (sqrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ 1 (- f n)) (cbrt (cbrt (- f n)))) (* (cbrt (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 551 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (cbrt (- f n)))) (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 552 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) (sqrt (cbrt (- f n)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (sqrt (cbrt (- f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 553 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) 1) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 554 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) 1) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 555 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) 1) (cbrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt 1)) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt 1)) (- f n))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 556 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) 1) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 557 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) 1) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (- f n)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (- f n)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 558 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- (* f f) (* n n))) 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (- f n))) (cbrt (/ (/ (+ f n) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 559 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 560 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt (sqrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 561 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (cbrt 1))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 562 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ 1 (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 563 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ 1 (sqrt (cbrt (- f n))))) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 564 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt 1) (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 565 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 566 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (cbrt (sqrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (sqrt (- f n))))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 567 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (cbrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (cbrt 1)) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (cbrt 1)) (- f n))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 568 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 569 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (sqrt (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- f n)) (sqrt (cbrt (- f n))))) (cbrt (/ (/ 1 (cbrt (- f n))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 570 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 571 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 572 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (- (pow f 3) (pow n 3))))) (cbrt (/ (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 573 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (* (cbrt 1) (- f n))) (cbrt (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (* (cbrt 1) (- f n))) (cbrt (- (pow f 3) (pow n 3))))) (cbrt (/ (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 574 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 575 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (- (pow f 3) (pow n 3))))) (cbrt (/ (cbrt (+ (* f f) (+ (* n n) (* f n)))) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 576 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (pow f 3) (pow n 3)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- (pow f 3) (pow n 3))))) (cbrt (/ (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 577 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (* f f) (* n n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (* (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (* (+ n f) (- f n)))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (cbrt (+ f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 578 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (* f f) (* n n)))) (cbrt (sqrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (* (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (sqrt (- f n)))) (cbrt (* (+ n f) (- f n))))) (cbrt (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 579 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (* f f) (* n n)))) (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- f n)) (cbrt (* (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (cbrt 1)) (- f n)) (cbrt (* (+ n f) (- f n))))) (cbrt (/ (cbrt (+ f n)) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 580 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (* f f) (* n n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (* (+ n f) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (* (+ n f) (- f n)))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))) (cbrt (/ (cbrt (+ f n)) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 581 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (* f f) (* n n)))) (sqrt (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (* (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (sqrt (cbrt (- f n)))) (cbrt (* (+ n f) (- f n))))) (cbrt (/ (cbrt (+ f n)) (sqrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 582 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- (* f f) (* n n)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (404 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 (/ (/ (+ n f) (- f n)) (cbrt (* (+ n f) (- f n))))) (cbrt (/ (cbrt (+ f n)) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 583 / 642 ] 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 (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 584 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (/ 1 (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 585 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- (pow f 3) (pow n 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- (pow f 3) (pow n 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (- (pow f 3) (pow n 3))))) (cbrt (cbrt (+ (* f f) (+ (* n n) (* f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 586 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- (* f f) (* n n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (* (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (* (cbrt (/ (/ (/ (+ n f) (- f n)) (cbrt (- f n))) (cbrt (* (+ n f) (- f n))))) (cbrt (cbrt (+ f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 587 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (+ f n) (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (* (/ (cbrt (/ (/ (+ n f) (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 588 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 589 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 590 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 591 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 592 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 593 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 594 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 595 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 596 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 597 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (cbrt (sqrt (- f n))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 598 / 642 ] 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 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (* (cbrt 1) (cbrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 599 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (/ (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 600 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (/ (cbrt (- (* f f) (* n n))) (cbrt (+ f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 601 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 602 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 603 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 604 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 605 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 606 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 607 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 608 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 609 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 610 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (cbrt (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 611 / 642 ] 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 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (* (cbrt 1) (cbrt (- f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 612 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (/ (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n))))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 613 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (/ (cbrt (- (* f f) (* n n))) (cbrt (+ f n))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 614 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 615 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 616 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 617 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 618 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 619 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 620 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 621 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 622 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (* (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 623 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 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 (cbrt (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 624 / 642 ] 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 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (* (cbrt 1) (cbrt (- f n)))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 625 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (/ (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 626 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* f f) (* n n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (* f f) (* n n))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (/ (cbrt (- (* f f) (* n n))) (cbrt (+ f n)))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 627 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 628 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 629 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 630 / 642 ] simplifiying candidate # * * * * [misc]progress: [ 631 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* -1 (pow (/ 1 (pow n 2)) 1/3)) 1/3) (+ (* 41/81 (* (pow (/ 1 (pow n 20)) 1/9) (* (pow f 2) (pow -1 1/3)))) (* 8/9 (* (pow (/ 1 (pow n 11)) 1/9) (* f (pow -1 1/3)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (cbrt -1) (* 8/9 f)) (pow (/ 1 (pow n 11)) 1/9)) (* (* (* f 41/81) (* f (cbrt -1))) (pow (/ 1 (pow n 20)) 1/9))) (cbrt (- (cbrt (/ 1 (* n n)))))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (+ (+ (* (* (cbrt -1) (* 8/9 f)) (pow (/ 1 (pow n 11)) 1/9)) (* (* (* f 41/81) (* f (cbrt -1))) (pow (/ 1 (pow n 20)) 1/9))) (cbrt (- (cbrt (/ 1 (* n n)))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 632 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (pow (/ 1 f) 2) 1/3) 1/3) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (/ 1 f) f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (cbrt (/ (/ 1 f) f))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 633 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (exp (* 2/3 (- (log -1) (log (/ -1 f)))))) 1/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (cbrt (pow f (- 2/3))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (cbrt (pow f (- 2/3))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 634 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (- (- (cbrt (- n)) (* (* f (* f 1/9)) (/ (cbrt -1) (pow n (* 5 1/3))))) (* (* f 1/3) (/ (cbrt -1) (* (cbrt n) (cbrt n))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (- (- (cbrt (- n)) (* (* f (* f 1/9)) (/ (cbrt -1) (pow n (* 5 1/3))))) (* (* f 1/3) (/ (cbrt -1) (* (cbrt n) (cbrt n)))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 635 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (pow (/ 1 f) -1/3)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 636 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 637 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (- (- (cbrt (- n)) (* (* f (* f 1/9)) (/ (cbrt -1) (pow n (* 5 1/3))))) (* (* f 1/3) (/ (cbrt -1) (* (cbrt n) (cbrt n))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (- (- (cbrt (- n)) (* (* f (* f 1/9)) (/ (cbrt -1) (pow n (* 5 1/3))))) (* (* f 1/3) (/ (cbrt -1) (* (cbrt n) (cbrt n))))))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 638 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (pow (/ 1 f) -1/3))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 639 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt (- f n))) (cbrt f))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 640 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (- (- (cbrt (- n)) (* (* f (* f 1/9)) (/ (cbrt -1) (pow n (* 5 1/3))))) (* (* f 1/3) (/ (cbrt -1) (* (cbrt n) (cbrt n))))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (- (- (cbrt (- n)) (* (* f (* f 1/9)) (/ (cbrt -1) (pow n (* 5 1/3))))) (* (* f 1/3) (/ (cbrt -1) (* (cbrt n) (cbrt n)))))) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 641 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 f) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (pow (/ 1 f) -1/3) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (pow (/ 1 f) -1/3)) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 642 / 642 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt f) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (* (cbrt (/ (/ (/ (+ f n) (- f n)) (cbrt f)) (cbrt (- f n)))) (cbrt (/ (/ (- (- n) f) (cbrt (- f n))) (/ (- f n) (+ n f)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (n f (/ (- (+ f n)) (- f n))) * * * * [misc]regimes: Trying to branch on n from (# # # # # #) * * * * [misc]regimes: Trying to branch on f from (# # # # # #) * * * * [misc]regimes: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # # # #) * * * [misc]regime: Found split indices: #