* [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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 0 (- n))) (* (* 2 (/ 1 (pow n 2))) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 66 ] 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: [ 5 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 66 ] 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: [ 8 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 66 ] 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: [ 13 / 66 ] 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: [ 14 / 66 ] 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: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (cbrt (- (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- f) n)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (- f) n)) (- f n)))) * * * * [misc]progress: [ 16 / 66 ] 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: [ 17 / 66 ] 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: [ 18 / 66 ] 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: [ 19 / 66 ] 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: [ 20 / 66 ] 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: [ 21 / 66 ] 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: [ 22 / 66 ] 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: [ 23 / 66 ] 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: [ 24 / 66 ] 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: [ 25 / 66 ] 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: [ 26 / 66 ] 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: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ n f))) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (cbrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (- (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt (+ n f)) (- f n)))) * * * * [misc]progress: [ 28 / 66 ] 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: [ 29 / 66 ] 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: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (- (sqrt (+ n f))) (/ (sqrt (+ f n)) (- f n)))) * [enter]simplify: Simplifying (/ (sqrt (+ f n)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ n f)) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (cbrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))) * [enter]simplify: Simplifying (/ (+ f n) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ n f) (sqrt (- f n))) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (* -1 (/ (+ f n) (- f n)))) * [enter]simplify: Simplifying (/ (+ f n) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ n f) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* -1 (/ (+ n f) (- f n)))) * * * * [misc]progress: [ 34 / 66 ] 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: [ 35 / 66 ] 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: [ 36 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (+ n f)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ f n))) (- f n)))) * [enter]simplify: Simplifying (/ (- (cbrt (+ f n))) (- f n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ n f))) (- f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (- (cbrt (+ n f))) (- f n)))) * * * * [misc]progress: [ 37 / 66 ] 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: [ 38 / 66 ] 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: [ 39 / 66 ] 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: [ 40 / 66 ] 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: [ 41 / 66 ] 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: [ 42 / 66 ] 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: [ 43 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] 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: [ 47 / 66 ] 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: [ 48 / 66 ] 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: [ 49 / 66 ] 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: [ 50 / 66 ] 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: [ 51 / 66 ] 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: [ 52 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 66 ] 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: [ 55 / 66 ] 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: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (/ -1 (/ (- f n) (+ f n)))) * * * * [misc]progress: [ 57 / 66 ] 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: [ 58 / 66 ] 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: [ 59 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ f n) n (* f f)) * [misc]simplify: Simplified (2 2) to (λ (f n) (* (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (fma (+ f n) n (* f f)))) * * * * [misc]progress: [ 61 / 66 ] 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: [ 62 / 66 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (fma f (* (- f) f) (* (- n) (* n n))) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (fma f (* (- f) f) (* (- n) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (* (+ f n) (- n f)) * [misc]simplify: Simplified (2 1) to (λ (f n) (/ (* (+ f n) (- n f)) (* (- f n) (- f n)))) * * * * [misc]progress: [ 64 / 66 ] 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: [ 65 / 66 ] 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: [ 66 / 66 ] 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 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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: [ 3 / 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) in n * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ n f)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 182 ] 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: [ 5 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 182 ] 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 (324 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: [ 8 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 182 ] 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: [ 13 / 182 ] 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: [ 14 / 182 ] 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: [ 15 / 182 ] 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 (28 enodes) * * [misc]simplify: iters left: 2 (33 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: [ 16 / 182 ] 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: [ 17 / 182 ] 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: [ 18 / 182 ] 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: [ 19 / 182 ] 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: [ 20 / 182 ] 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: [ 21 / 182 ] 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: [ 22 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 182 ] 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: [ 26 / 182 ] 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: [ 27 / 182 ] 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: [ 28 / 182 ] 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: [ 29 / 182 ] 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: [ 30 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ f n) n (* f f)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (- (- n) f) (- (pow f 3) (pow n 3))) (fma (+ f n) n (* f f))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 32 / 182 ] 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: [ 33 / 182 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (fma (- (* f f)) f (* (- n) (* n n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (/ (fma (- (* f f)) f (* (- n) (* n n))) (* (- f n) (+ (* (- n) (- n)) (+ (* f f) (* (- n) f))))) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 34 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- n) (- n)) (* f f)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (307 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: [ 35 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 182 ] 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 (383 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: [ 39 / 182 ] 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 (415 enodes) * [exit]simplify: Simplified to (- (- (log (- (- n) f)) (log (/ (- f n) (+ n f)))) (+ (log (/ (- f n) (+ n f))) (log (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (- (log (- (- n) f)) (log (/ (- f n) (+ n f)))) (+ (log (/ (- f n) (+ n f))) (log (- f n))))))) * * * * [misc]progress: [ 40 / 182 ] 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 (80 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (459 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: [ 41 / 182 ] 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: [ 42 / 182 ] 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 (183 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (+ (- (log (- (- n) f)) (log (- 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)) (log (- f n))) (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))))))) * * * * [misc]progress: [ 43 / 182 ] 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 (164 enodes) * * [misc]simplify: iters left: 2 (351 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: [ 44 / 182 ] 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 (80 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (376 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: [ 45 / 182 ] 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 (78 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (406 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: [ 46 / 182 ] 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: [ 47 / 182 ] 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 (179 enodes) * * [misc]simplify: iters left: 2 (463 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: [ 48 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 182 ] 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 (294 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: [ 51 / 182 ] 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 (339 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (- n) f) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (pow (/ (- f n) (+ n f)) 3) (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)) (/ (+ n f) (- f n)))) (* (pow (/ (- f n) (+ n f)) 3) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 52 / 182 ] 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 (342 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4))))) * * * * [misc]progress: [ 53 / 182 ] 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)) 4)) (pow (/ (- f n) (+ n f)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4))))) * * * * [misc]progress: [ 54 / 182 ] 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)) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4))))) * * * * [misc]progress: [ 55 / 182 ] 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 (304 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: [ 56 / 182 ] 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 (338 enodes) * [exit]simplify: Simplified to (/ (* (- (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (pow (/ (- f n) (+ n f)) 3) (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)) (/ (+ n f) (- f n)))) (* (pow (/ (- f n) (+ n f)) 3) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 57 / 182 ] 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 (350 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4))))) * * * * [misc]progress: [ 58 / 182 ] 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)) (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 3))) * [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)) (/ (/ (- (- n) f) (- f n)) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 59 / 182 ] 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: [ 60 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 182 ] 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 (234 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: [ 65 / 182 ] 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 (109 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (/ (+ 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))))) (/ (+ 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 (69 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 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: [ 66 / 182 ] 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 (69 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 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 (69 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 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: [ 67 / 182 ] 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 (221 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (- n) f)) (/ (- f n) (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- (- n) f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ (cbrt (- (- n) f)) (/ (- f n) (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- (- n) f)))) (/ (/ (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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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: [ 68 / 182 ] 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 (139 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (cbrt (- (+ n f))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (cbrt (- (+ n f))) (/ (cbrt (- (+ n f))) (/ (sqrt (- f n)) (/ (+ n f) (- 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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: [ 69 / 182 ] 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 (133 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (- f n) (+ n f))) (/ (/ (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 (123 enodes) * * [misc]simplify: iters left: 2 (259 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)))) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f)))))) * * * * [misc]progress: [ 70 / 182 ] 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 (123 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (+ n f))) (+ n f)) (* (* (- f n) (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (* (sqrt (- (+ n f))) (+ n f)) (* (* (- f n) (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))) (/ (- 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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: [ 71 / 182 ] 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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: [ 72 / 182 ] 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 (85 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (/ (+ n f) (- f n)) (sqrt (- (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (/ (+ n f) (- f n)) (sqrt (- (+ 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 (123 enodes) * * [misc]simplify: iters left: 2 (259 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 (* (* (/ (+ n f) (- f n)) (sqrt (- (+ n f)))) (/ (sqrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f)))))) * * * * [misc]progress: [ 73 / 182 ] 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 (119 enodes) * * [misc]simplify: iters left: 2 (269 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 (139 enodes) * * [misc]simplify: iters left: 2 (413 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: [ 74 / 182 ] 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 (87 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (323 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 (139 enodes) * * [misc]simplify: iters left: 2 (413 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: [ 75 / 182 ] 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 (52 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (106 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 (171 enodes) * * [misc]simplify: iters left: 2 (475 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: [ 76 / 182 ] 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 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (107 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 (171 enodes) * * [misc]simplify: iters left: 2 (475 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: [ 77 / 182 ] 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 (106 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (* (- (- n) f) (/ (+ n f) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (- (- n) f) (/ (+ n f) (- f n))) (/ (/ 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 (119 enodes) * * [misc]simplify: iters left: 2 (239 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: [ 78 / 182 ] 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 (84 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (+ n f) (- f n)) (/ (- (- n) f) (fma (* n n) (- n) (pow f 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (/ (+ n f) (- f n)) (/ (- (- n) f) (fma (* n n) (- n) (pow f 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 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (fma n (+ f n) (* f f)) (/ (- 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))) (/ (fma n (+ f n) (* f f)) (/ (- f n) (+ f n)))))) * * * * [misc]progress: [ 79 / 182 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (* (- (+ n f)) (+ n f)) (* (+ n f) (* (- f n) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (* (- (+ n f)) (+ n f)) (* (+ n f) (* (- f n) (- f n)))) (/ (+ 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 (50 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (122 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: [ 80 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 182 ] 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: [ 84 / 182 ] 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: [ 85 / 182 ] 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: [ 86 / 182 ] 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: [ 87 / 182 ] 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: [ 88 / 182 ] 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 (28 enodes) * * [misc]simplify: iters left: 2 (33 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: [ 89 / 182 ] 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: [ 90 / 182 ] 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: [ 91 / 182 ] 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: [ 92 / 182 ] 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: [ 93 / 182 ] 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: [ 94 / 182 ] 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: [ 95 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 182 ] 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: [ 97 / 182 ] 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 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (- (- n) f) (fma (* n n) (- n) (pow f 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (fma (* n n) (- n) (pow f 3))) (/ (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (+ (* f f) (+ (* n n) (* f n))))))) * * * * [misc]progress: [ 98 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- n) f) (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (222 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: [ 99 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- f n) (- f n))) (* (+ f n) (+ f n))))) * * * * [misc]progress: [ 100 / 182 ] 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: [ 101 / 182 ] 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: [ 102 / 182 ] 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: [ 103 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 182 ] 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: [ 107 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 182 ] 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 (133 enodes) * * [misc]simplify: iters left: 3 (445 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: [ 110 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 182 ] 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: [ 115 / 182 ] 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: [ 116 / 182 ] 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: [ 117 / 182 ] 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 (34 enodes) * * [misc]simplify: iters left: 2 (60 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: [ 118 / 182 ] 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: [ 119 / 182 ] 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: [ 120 / 182 ] 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: [ 121 / 182 ] 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: [ 122 / 182 ] 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: [ 123 / 182 ] 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: [ 124 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 182 ] 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: [ 128 / 182 ] 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: [ 129 / 182 ] 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: [ 130 / 182 ] 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: [ 131 / 182 ] 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: [ 132 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 133 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* f f) (* n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- n f) n (* f f)) * [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))) (fma (- n f) n (* f f))))))) * * * * [misc]progress: [ 134 / 182 ] 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: [ 135 / 182 ] 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 (23 enodes) * [exit]simplify: Simplified to (fma (- n) (* n n) (pow f 3)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (fma (- n) (* n n) (pow f 3)) (* (+ n f) (+ (* f f) (+ (* n n) (* f n))))))))) * * * * [misc]progress: [ 136 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f f) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* f f) (* n n)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- (* f f) (* n n)) (* (+ n f) (+ f n))))))) * * * * [misc]progress: [ 137 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f n)) (log (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (- f n)) (log (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (exp (- (log (- f n)) (log (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 141 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 182 ] 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 (133 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (pow (/ (- f n) (+ n f)) 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (cbrt (pow (/ (- f n) (+ n f)) 3)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 144 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ f (+ n f)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 149 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 150 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 151 / 182 ] 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 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (cbrt (- f n)) (+ n f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 152 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 153 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 154 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (sqrt (- f n)) (+ n f)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 155 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))) (/ (- f n) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- f n) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- f n) (cbrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 156 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- f n) (sqrt (+ n f))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- f n) (sqrt (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 157 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* 1 (/ (- f n) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (/ (- f n) (+ n f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- f n) (+ n f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* 1 (/ (- f n) (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 158 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ f n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 162 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (/ (- f n) (sqrt (+ n f))) (sqrt (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 163 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (/ (- f n) 1) (+ f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 164 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- f n)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 165 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (sqrt (- f n)) (/ (+ n f) (sqrt (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 166 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* f f) (* n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- n f) n (* f f)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (- f n) (+ (pow n 3) (pow f 3))) (fma (- n f) n (* f f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 168 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- n f) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ (- f n) (- (* n n) (* f f))) (- n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 169 / 182 ] 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 (23 enodes) * [exit]simplify: Simplified to (fma (- n) (* n n) (pow f 3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (fma (- n) (* n n) (pow f 3)) (* (+ n f) (+ (* f f) (+ (* n n) (* f n))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 170 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f f) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* f f) (* n n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- (* f f) (* n n)) (* (+ n f) (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 171 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ -1 (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 172 / 182 ] 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: [ 173 / 182 ] 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: [ 174 / 182 ] 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: [ 175 / 182 ] 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: [ 176 / 182 ] 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: [ 177 / 182 ] 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: [ 178 / 182 ] 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: [ 179 / 182 ] 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: [ 180 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* -1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 181 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 182 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* 1 (/ (- f n) (+ n f)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 n)) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (- (/ 1 (- n))) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n * [misc]taylor: Taking taylor expansion of (/ f (+ n f)) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ n (+ 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f * [misc]taylor: Taking taylor expansion of (/ f (+ n f)) in f * [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 f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ n (+ 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n n) into 1 * [misc]taylor: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f * [misc]taylor: Taking taylor expansion of (/ f (+ n f)) in f * [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 f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ n (+ 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n n) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (- (/ 1 n))) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ 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 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 f) 1) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) (+ (/ 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 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) (+ (/ 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) (+ (/ 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) 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 (- (+ (* 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)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 n) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (- (+ (* 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)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) 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 n) (/ 0 1)) (* (- (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (/ 1 (pow n 3)) * [misc]backup-simplify: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (- (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 f) -1) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- n)) (+ (/ 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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- n)) (+ (/ 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 n) -1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- n)) (+ (/ 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 n)) -1)))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) 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 (- 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)) (* (- (/ 1 n)) (/ (- (/ 1 n)) -1)))) into (/ 1 (pow n 2)) * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 n) (/ (- (/ 1 n)) -1)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (- 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)) (* (- (/ 1 n)) (/ 0 -1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) -1)))) into (- (/ 1 (pow n 3))) * [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 (- 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 n) (/ 0 -1)) (* (- (/ 1 (pow n 2))) (/ (- (/ 1 n)) -1)))) into (/ 1 (pow n 3)) * [misc]backup-simplify: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (- n) f) (- f n)) (* (- (/ 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) in f * [misc]taylor: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f * [misc]taylor: Taking taylor expansion of (/ f (+ n f)) in f * [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 f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ n (+ 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 (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (/ n 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) 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]taylor: Taking taylor expansion of (/ (/ (- (- n) f) (- f n)) (* (- (/ 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n * [misc]taylor: Taking taylor expansion of (/ f (+ n f)) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ n (+ 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 0) 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) in n * [misc]taylor: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n * [misc]taylor: Taking taylor expansion of (/ f (+ n f)) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ n (+ 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 (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [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 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 1 f)))) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ 1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (+ (- (/ 1 f)) (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (- (/ 1 f)) (/ 1 f)))) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow f 2)))) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow f 2)) (/ 1 (pow f 2))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (- (/ 1 f)) (/ 0 f)) (* (/ 1 (pow f 2)) (/ 1 f)))) into (- (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) * [misc]backup-simplify: Simplify (- (/ 1 (pow f 3))) into (- (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow f 3))) (- (/ 1 (pow f 3)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 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 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 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 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) (+ (/ 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 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 n) 1) into (/ 1 n) * [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 0) 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 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 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 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 f) 1) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) (+ (/ 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 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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) 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]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 n)) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (* (- (/ (/ 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 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 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 f) 1) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ (/ 1 n) (+ (/ 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 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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) 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]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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (/ 1 f) (/ 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 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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 f) (/ (/ 1 f) 1)))) into (- (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow f 2))) into (- (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow f 2))) (- (/ 1 (pow f 2)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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)))) 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 f) (/ 0 1)) (* (- (/ 1 (pow f 2))) (/ (/ 1 f) 1)))) into (/ 1 (pow f 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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)) (* (- (/ 1 f)) (/ 0 1)) (* (/ 1 (pow f 2)) (/ (/ 1 f) 1)))) into (- (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow f 3)))) into (/ 1 (pow f 3)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow f 3)) (/ 1 (pow f 3))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 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 (- 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 (- 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 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- n)) (+ (/ 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 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 n) -1) into (/ 1 n) * [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 0) 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 (- 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 (- 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 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 f) -1) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- n)) (+ (/ 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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -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) 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]taylor: Taking taylor expansion of (/ (/ (- (- (/ 1 (- n))) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (* (- (/ (/ 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 (- 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 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 f) -1) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- n)) (+ (/ 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 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -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) 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]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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (/ 1 f)) -1)))) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (- (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (+ (/ 1 f) (/ 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 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 f) (/ (- (/ 1 f)) -1)))) into (- (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* (- (/ 1 f)) (/ (- (/ 1 f)) -1)))) into (/ 1 (pow f 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow f 2))) into (- (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow f 2))) (- (/ 1 (pow f 2)))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- (+ (* -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 f) (/ 0 -1)) (* (- (/ 1 (pow f 2))) (/ (- (/ 1 f)) -1)))) into (/ 1 (pow f 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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)) (* (- (/ 1 f)) (/ 0 -1)) (* (/ 1 (pow f 2)) (/ (- (/ 1 f)) -1)))) into (- (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (- (- (/ 1 (pow f 3)))) into (/ 1 (pow f 3)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow f 3)) (/ 1 (pow f 3))) 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]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 5 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 209 ] 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 (324 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 8 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 13 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 14 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 15 / 209 ] 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 (28 enodes) * * [misc]simplify: iters left: 2 (33 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 16 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 17 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 18 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 19 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 20 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 21 / 209 ] 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 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 22 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 26 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 27 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 28 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 29 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 30 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ f n) n (* f f)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (cbrt (/ (* (/ (- (- n) f) (- (pow f 3) (pow n 3))) (fma (+ f n) n (* f f))) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 32 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 33 / 209 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (fma (- (* f f)) f (* (- n) (* n n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (cbrt (/ (/ (fma (- (* f f)) f (* (- n) (* n n))) (* (- f n) (+ (* (- n) (- n)) (+ (* f f) (* (- n) f))))) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 34 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- n) (- n)) (* f f)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (307 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 35 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 36 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 37 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (* (/ n (+ n f)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 38 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (* (/ 1 (+ n f)) n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 39 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (fma (fma f (- f n) (* n n)) (/ (- n) (fma n (* n n) (pow f 3))) (/ f (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (fma f (- f n) (* n n)) (/ (- n) (fma n (* n n) (pow f 3))) (/ f (+ n f))) (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (fma f (- f n) (* n n)) (/ (- n) (fma n (* n n) (pow f 3))) (/ f (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 40 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (* (- n f) (/ n (- (* n n) (* f f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (fma -1 (/ n (+ n f)) (/ f (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ n f)) (/ f (+ n f))) (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ n f)) (/ f (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 41 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) * * [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 (34 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 42 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 43 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (* (/ n (+ n f)) 1))) * * [misc]simplify: iters left: 6 (10 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 (55 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 44 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (* (/ 1 (+ n f)) n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 45 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (fma (- (fma (- f n) f (* n n))) (/ n (fma (* n n) n (pow f 3))) (/ f (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (- (fma (- f n) f (* n n))) (/ n (fma (* n n) n (pow f 3))) (/ f (+ n f))) (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (- (fma (- f n) f (* n n))) (/ n (fma (* n n) n (pow f 3))) (/ f (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 46 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (* (- n f) (/ n (- (* n n) (* f f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (fma -1 (/ n (+ n f)) (/ f (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ n f)) (/ f (+ n f))) (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ n f)) (/ f (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 47 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ f (+ n f)) (- (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 48 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ f (+ n f)) (- (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 49 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ f (+ n f)) (- (* (/ n (+ n f)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 50 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ f (+ n f)) (- (* (/ 1 (+ n f)) n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 51 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ f (+ n f)) (- (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (fma (/ n (fma n (* n n) (pow f 3))) (- (fma f (- f n) (* n n))) (/ f (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ n (fma n (* n n) (pow f 3))) (- (fma f (- f n) (* n n))) (/ f (+ f n))) (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ n (fma n (* n n) (pow f 3))) (- (fma f (- f n) (* n n))) (/ f (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 52 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ f (+ n f)) (- (* (- n f) (/ n (- (* n n) (* f f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (fma -1 (/ n (+ f n)) (/ f (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ f n)) (/ f (+ f n))) (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ f n)) (/ f (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 53 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma f (/ 1 (+ n f)) (- (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 54 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma f (/ 1 (+ n f)) (- (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 55 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma f (/ 1 (+ n f)) (- (* (/ n (+ n f)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 56 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma f (/ 1 (+ n f)) (- (* (/ 1 (+ n f)) n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (- (/ f (+ f n)) (/ n (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ f n)) (/ n (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 57 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma f (/ 1 (+ n f)) (- (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (fma (/ n (fma n (* n n) (pow f 3))) (- (fma f (- f n) (* n n))) (/ f (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ n (fma n (* n n) (pow f 3))) (- (fma f (- f n) (* n n))) (/ f (+ f n))) (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ n (fma n (* n n) (pow f 3))) (- (fma f (- f n) (* n n))) (/ f (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 58 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma f (/ 1 (+ n f)) (- (* (- n f) (/ n (- (* n n) (* f f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (fma -1 (/ n (+ f n)) (/ f (+ f n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ f n)) (/ f (+ f n))) (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma -1 (/ n (+ f n)) (/ f (+ f n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 59 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (+ (pow n 3) (pow f 3))) (+ (* n n) (- (* f f) (* n f))) (- (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 60 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (+ (pow n 3) (pow f 3))) (+ (* n n) (- (* f f) (* n f))) (- (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 61 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (+ (pow n 3) (pow f 3))) (+ (* n n) (- (* f f) (* n f))) (- (* (/ n (+ n f)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (fma (/ f (fma (* n n) n (pow f 3))) (fma f (- f n) (* n n)) (/ (- n) (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ f (fma (* n n) n (pow f 3))) (fma f (- f n) (* n n)) (/ (- n) (+ n f))) (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ f (fma (* n n) n (pow f 3))) (fma f (- f n) (* n n)) (/ (- n) (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 62 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (+ (pow n 3) (pow f 3))) (+ (* n n) (- (* f f) (* n f))) (- (* (/ 1 (+ n f)) n))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ (fma (* f n) (- n f) (pow f 3)) (fma (* n n) n (pow f 3))) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 63 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (+ (pow n 3) (pow f 3))) (+ (* n n) (- (* f f) (* n f))) (- (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (* (- (/ f (fma (* n n) n (pow f 3))) (/ n (fma (* n n) n (pow f 3)))) (fma (- f n) f (* n n))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (* (- (/ f (fma (* n n) n (pow f 3))) (/ n (fma (* n n) n (pow f 3)))) (fma (- f n) f (* n n))) (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (* (- (/ f (fma (* n n) n (pow f 3))) (/ n (fma (* n n) n (pow f 3)))) (fma (- f n) f (* n n))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 64 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (+ (pow n 3) (pow f 3))) (+ (* n n) (- (* f f) (* n f))) (- (* (- n f) (/ n (- (* n n) (* f f)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (fma (/ f (fma (* n n) n (pow f 3))) (fma (- f n) f (* n n)) (/ (* -1 n) (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ f (fma (* n n) n (pow f 3))) (fma (- f n) f (* n n)) (/ (* -1 n) (+ n f))) (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ f (fma (* n n) n (pow f 3))) (fma (- f n) f (* n n)) (/ (* -1 n) (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 65 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (- (* n n) (* f f))) (- n f) (- (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f))))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 66 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (- (* n n) (* f f))) (- n f) (- (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ n (+ n f)))) (sqrt (/ n (+ n f))) (* (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 67 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (- (* n n) (* f f))) (- n f) (- (* (/ n (+ n f)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ n (+ n f))) 1 (* (/ n (+ n f)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 68 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (- (* n n) (* f f))) (- n f) (- (* (/ 1 (+ n f)) n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ n f))) n (* (/ 1 (+ n f)) n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (- (/ f (+ n f)) (/ n (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 69 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (- (* n n) (* f f))) (- n f) (- (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (fma (/ n (fma n (* n n) (pow f 3))) (- (* f (- n f)) (* n n)) (/ (/ f 1) (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ n (fma n (* n n) (pow f 3))) (- (* f (- n f)) (* n n)) (/ (/ f 1) (+ n f))) (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (+ (* n n) (- (* f f) (* n f)))) (/ n (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (/ n (+ (pow n 3) (pow f 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ n (fma n (* n n) (pow f 3))) (- (* f (- n f)) (* n n)) (/ (/ f 1) (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 70 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ f (- (* n n) (* f f))) (- n f) (- (* (- n f) (/ n (- (* n n) (* f f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (fma (/ f (+ n f)) 1 (/ (* -1 n) (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ f (+ n f)) 1 (/ (* -1 n) (+ n f))) (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f)))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (fma (- (- n f)) (/ n (- (* n n) (* f f))) (* (- n f) (/ n (- (* n n) (* f f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (+ (fma (/ f (+ n f)) 1 (/ (* -1 n) (+ n f))) 0) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 71 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (fma (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (- (/ n (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 74 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ f (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ f (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (fma (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- (/ n (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 75 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (+ (pow n 3) (pow f 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ f (fma (* f f) f (pow n 3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (fma (/ f (fma (* f f) f (pow n 3))) (+ (* n n) (- (* f f) (* n f))) (- (/ n (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 78 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (- (* n n) (* f f))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ f (* (- n f) (+ n f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (fma (/ f (* (- n f) (+ n f))) (- n f) (- (/ n (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 79 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ f (+ n f))) (exp (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (exp (- (/ f (+ n f)) (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (log (exp (- (/ f (+ n f)) (/ n (+ n f))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 80 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 87 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f (+ n f)) (* (+ n f) n)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (- (* f f) (* n n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- (* f f) (* n n)) (* (+ n f) (+ n f))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (/ (- (* f f) (* n n)) (* (+ f n) (+ f n))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 88 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ n (+ n f))) (sqrt (/ f (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (+ (sqrt (/ n (+ n f))) (sqrt (/ f (+ n f)))) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 93 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ f (+ n f)) (/ n (+ n f))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 94 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ n f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ n f)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (+ n f)) (- f n)) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (/ 1 (+ n f)) (- f n)) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 95 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* f f) (* n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- n f) n (* f f)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (fma (- n f) n (* f f)) (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (- (/ f (+ (pow n 3) (pow f 3))) (/ n (+ (pow n 3) (pow f 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (- (/ f (fma (* f f) f (pow n 3))) (/ n (fma (* f f) f (pow n 3)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (fma (- n f) n (* f f)) (- (/ f (fma (* f f) f (pow n 3))) (/ n (fma (* f f) f (pow n 3))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 96 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- n f) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (- n f) (- (/ f (- (* n n) (* f f))) (/ n (- (* n n) (* f f))))) (/ (- f n) (+ n f)))))) * [enter]simplify: Simplifying (- (/ f (- (* n n) (* f f))) (/ n (- (* n n) (* f f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (- (/ (/ f (+ n f)) (- n f)) (/ n (* (+ n f) (- n f)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (* (- n f) (- (/ (/ f (+ n f)) (- n f)) (/ n (* (+ n f) (- n f))))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 97 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (+ (log (- (/ f (+ n f)) (/ n (+ n f)))) (- (log (- f n)) (log (+ n f))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (- (- (log (- (- n) f)) (log (- f n))) (- (log (- (/ f (+ n f)) (/ n (+ n f)))) (- (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 (- (/ f (+ n f)) (/ n (+ n f)))) (- (log (+ n f)) (log (- f n)))))))) * * * * [misc]progress: [ 102 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (+ (log (- (/ f (+ n f)) (/ n (+ n f)))) (log (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (415 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: [ 103 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (- n) f)) (log (- f n))) (log (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (227 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: [ 104 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (+ (log (- (/ f (+ n f)) (/ n (+ n f)))) (- (log (- f n)) (log (+ n f))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (+ (- (- (log (+ n f)) (log (- f n))) (log (- (/ f (+ n f)) (/ n (+ n f))))) (log (- (/ (+ n f) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (+ (- (- (log (+ n f)) (log (- f n))) (log (- (/ f (+ n f)) (/ n (+ n f))))) (log (- (/ (+ n f) (- f n)))))))) * * * * [misc]progress: [ 105 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (+ (log (- (/ f (+ n f)) (/ n (+ n f)))) (log (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 106 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (- n) f) (- f n))) (log (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- 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 (212 enodes) * [exit]simplify: Simplified to (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (exp (- (log (- (/ (+ n f) (- f n)))) (+ (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f)))))))) * * * * [misc]progress: [ 107 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (* (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (- n) f) (- f n)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (pow (/ (- f n) (+ n f)) 3) (pow (/ (- 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)) 3) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 110 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (* (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4))))) * * * * [misc]progress: [ 111 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (- n) f) (- (- n) f)) (- (- n) f)) (* (* (- f n) (- f n)) (- f n))) (* (* (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (cbrt (/ (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 4)) (pow (/ (- f n) (+ n f)) 4))))) * * * * [misc]progress: [ 112 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (* (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ n f) (+ n f)) (+ n f))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (295 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: [ 113 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (* (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ 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 (57 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (/ (- (/ (+ n f) (- f n))) (pow (/ (- f n) (+ n f)) 3)) (/ (/ (* (+ n f) (+ n f)) (* (- f n) (- 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) (+ n f)) (* (- f n) (- f n))) (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 114 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (- n) f) (- f n)) (/ (- (- n) f) (- f n))) (/ (- (- n) f) (- f n))) (* (* (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (249 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: [ 115 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- n) (- f n)) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (294 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))))))) * * * * [misc]progress: [ 120 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (- n) f) (- f n))) (cbrt (/ (- (- n) f) (- f n)))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (+ n f) (- f n)))) (/ (- (/ f (+ n f)) (/ n (+ n f))) (cbrt (- (/ (+ n f) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (cbrt (- (/ (+ n f) (- f n)))) (/ (- (/ f (+ n f)) (/ n (+ n f))) (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 (69 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 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 f)) (/ n (+ n f)))) (/ (cbrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 121 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (- n) f) (- f n))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [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 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ n f) (- f n)))) (- (/ f (+ n f)) (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (sqrt (- (/ (+ n f) (- f n)))) (- (/ 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 (69 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 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 f)) (/ n (+ n f)))) (/ (sqrt (- (/ (+ n f) (- f n)))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 122 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (- (/ f (+ n f)) (/ n (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (* (- (/ f (+ n f)) (/ n (+ n f))) (* (cbrt (- f n)) (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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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 f)) (/ n (+ n f)))) (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 123 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) (sqrt (- f n))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (+ n f))) (- (/ f (+ n 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 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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 f)) (/ n (+ n f)))) (/ (cbrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 124 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (- n) f)) (cbrt (- (- n) f))) 1) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (- (/ f (+ n f)) (/ n (+ n f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (* (cbrt (- (- n) f)) (/ (cbrt (- (- n) f)) (- (/ f (+ n f)) (/ n (+ n f))))) (/ (/ (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 (123 enodes) * * [misc]simplify: iters left: 2 (259 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)) (- (/ f (+ n f)) (/ n (+ n f))))) (/ (cbrt (- (- n) f)) (/ (* (- f n) (- f n)) (+ n f)))))) * * * * [misc]progress: [ 125 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ (sqrt (- (+ n f))) (- (/ f (+ n f)) (/ n (+ 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))) (/ (- 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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 f)) (/ n (+ n f)))) (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 126 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) (sqrt (- f n))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- n) f)) (* (- (/ f (+ n f)) (/ n (+ n f))) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (sqrt (- (- n) f)) (* (- (/ f (+ n 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 (91 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 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 f)) (/ n (+ n f)))) (/ (sqrt (- (- n) f)) (* (/ (- f n) (+ n f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 127 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (- n) f)) 1) (- (/ f (+ n f)) (/ n (+ n f)))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (94 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 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (259 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: [ 128 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ 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 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ 1 (- (/ f (+ f n)) (/ 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 (139 enodes) * * [misc]simplify: iters left: 2 (413 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 (* (/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ f (+ n f)) (/ n (+ n f)))) (* (/ (+ n f) (cbrt (- f n))) (- (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 129 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- f n))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- f n))) (- (/ f (+ f n)) (/ n (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ 1 (sqrt (- f n))) (- (/ f (+ f n)) (/ n (+ 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 (139 enodes) * * [misc]simplify: iters left: 2 (413 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 (* (/ (/ 1 (sqrt (- f n))) (- (/ f (+ n f)) (/ n (+ n f)))) (* (/ (+ n f) (sqrt (- f n))) (- (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 130 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ (/ (- (- 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 (171 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 131 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 1 (- (/ f (+ f n)) (/ n (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ 1 (- (/ f (+ f n)) (/ 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 (171 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 132 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- n) f) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (- (- n) f) (- (/ f (+ n f)) (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (- (- n) f) (- (/ f (+ n 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 (119 enodes) * * [misc]simplify: iters left: 2 (239 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 f)) (/ n (+ n f)))) (/ (+ f n) (* (- f n) (- f n)))))) * * * * [misc]progress: [ 133 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (- n) f) (- (pow f 3) (pow n 3))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ n f)) (fma (- n) (* n n) (pow f 3))) (- (/ f (+ n f)) (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ (- (+ n f)) (fma (- n) (* n n) (pow f 3))) (- (/ f (+ n f)) (/ n (+ n f)))) (/ (+ (* 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 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (fma n (+ f n) (* f f)) (/ (- 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 f)) (/ n (+ n f)))) (/ (fma n (+ f n) (* f f)) (/ (- f n) (+ f n)))))) * * * * [misc]progress: [ 134 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (- n) f) (- (* f f) (* n n))) (- (/ f (+ n f)) (/ n (+ n f)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (/ -1 (- f n)) (- (/ f (+ n f)) (/ n (+ n f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (* (/ (/ -1 (- f n)) (- (/ 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 (50 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (+ n f) (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ -1 (- f n)) (- (/ f (+ n f)) (/ n (+ n f)))) (/ (+ n f) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 135 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 209 ] 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 f)) (/ n (+ n f)))) (/ (- f n) (+ n f))))) * * * * [misc]progress: [ 139 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (cbrt (/ (- (- n) f) (- f n))))))) * * * * [misc]progress: [ 140 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (sqrt (/ (- (- n) f) (- f n))))))) * * * * [misc]progress: [ 141 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 142 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 143 / 209 ] 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 (28 enodes) * * [misc]simplify: iters left: 2 (33 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (cbrt (- (- n) f)) (- f n)))))) * * * * [misc]progress: [ 144 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (cbrt (- f n))))))) * * * * [misc]progress: [ 145 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (sqrt (- f n))))))) * * * * [misc]progress: [ 146 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (sqrt (- (- n) f)) (- f n)))))) * * * * [misc]progress: [ 147 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (- (- n) f) (cbrt (- f n))))))) * * * * [misc]progress: [ 148 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (- (- n) f) (sqrt (- f n))))))) * * * * [misc]progress: [ 149 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ (- (- n) f) (- f n)))))) * * * * [misc]progress: [ 150 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (/ 1 (- f n)))))) * * * * [misc]progress: [ 152 / 209 ] 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 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (- (- n) f) (fma (* n n) (- n) (pow f 3))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (fma (* n n) (- n) (pow f 3))) (/ (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (+ (* f f) (+ (* n n) (* f n))))))) * * * * [misc]progress: [ 153 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- n) f) (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ -1 (- f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (cbrt (/ (/ -1 (- f n)) (/ (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (+ f n))))) * * * * [misc]progress: [ 154 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- f n) (- f n))) (* (+ f n) (+ f n))))) * * * * [misc]progress: [ 155 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ n f) (+ n f)) (+ n f)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (+ f n) 3) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- (* f (+ n f)) (* (+ n f) n)) (- f n))) (pow (+ f n) 3)))) * * * * [misc]progress: [ 156 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (/ f (+ n f)) (/ f (+ n f))) (+ (* (/ n (+ n f)) (/ n (+ n f))) (* (/ f (+ n f)) (/ n (+ n f))))) (+ n f)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (fma (+ (/ f (+ n f)) (/ n (+ n f))) (/ (* n (+ n f)) (+ n f)) (* (/ (* f f) (+ n f)) (/ (+ n f) (+ n f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- (pow (/ f (+ n f)) 3) (pow (/ n (+ n f)) 3)) (- f n))) (fma (+ (/ f (+ n f)) (/ n (+ n f))) (/ (* n (+ n f)) (+ n f)) (* (/ (* f f) (+ n f)) (/ (+ n f) (+ n f))))))) * * * * [misc]progress: [ 157 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (/ f (+ n f)) (/ n (+ n f))) (+ n f)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f)))) (- f n))) (+ n f)))) * * * * [misc]progress: [ 158 / 209 ] 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))) (+ f n)))) * * * * [misc]progress: [ 159 / 209 ] 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: [ 160 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- (* f (+ n f)) (* (+ n f) n)) (/ (- f n) (+ n f)))) (* (+ f n) (+ f n))))) * * * * [misc]progress: [ 161 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ f (+ n f)) (/ f (+ n f))) (+ (* (/ n (+ n f)) (/ n (+ n f))) (* (/ f (+ n f)) (/ n (+ n f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (fma (/ f (+ n f)) (/ f (+ n f)) (/ (/ n 1) (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- (pow (/ f (+ n f)) 3) (pow (/ n (+ n f)) 3)) (/ (- f n) (+ n f)))) (fma (/ f (+ n f)) (/ f (+ n f)) (/ (/ n 1) (+ n f)))))) * * * * [misc]progress: [ 162 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ f (+ n f)) (/ n (+ n f))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (/ f (+ n f)) (/ n (+ n f))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (cbrt (* (/ (/ (- (- n) f) (- f n)) (* (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f)))) (/ (- f n) (+ n f)))) (+ (/ f (+ n f)) (/ n (+ n f)))))) * * * * [misc]progress: [ 163 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f))) (- f n))))) * * * * [misc]progress: [ 164 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 209 ] 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 f)) (/ n (+ n f))) (exp (- (log (- f n)) (log (+ n f)))))))) * * * * [misc]progress: [ 168 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 169 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 170 / 209 ] 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 (133 enodes) * * [misc]simplify: iters left: 3 (445 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 f)) (/ n (+ n f))) (cbrt (pow (/ (- f n) (+ n f)) 3)))))) * * * * [misc]progress: [ 171 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 172 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 209 ] 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 f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))))))) * * * * [misc]progress: [ 176 / 209 ] 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 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 f)) (/ n (+ n f))) (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 177 / 209 ] 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 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 f)) (/ n (+ n f))) (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 178 / 209 ] 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 (34 enodes) * * [misc]simplify: iters left: 2 (60 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 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 f)) (/ n (+ n f))) (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))))))) * * * * [misc]progress: [ 179 / 209 ] 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 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 f)) (/ n (+ n f))) (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt (- f n)) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 180 / 209 ] 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 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 f)) (/ n (+ n f))) (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (sqrt (- f n)) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 181 / 209 ] 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 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 f)) (/ n (+ n f))) (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))))))) * * * * [misc]progress: [ 182 / 209 ] 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 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 f)) (/ n (+ n f))) (* (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (- f n) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 183 / 209 ] 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 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 f)) (/ n (+ n f))) (* (/ 1 (sqrt (+ n f))) (/ (- f n) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 184 / 209 ] 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 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 f)) (/ n (+ n f))) (* 1 (/ (- f n) (+ n f))))))) * * * * [misc]progress: [ 185 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 186 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 188 / 209 ] 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 f)) (/ n (+ n f))) (/ (/ (- f n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (cbrt (+ f n))))))) * * * * [misc]progress: [ 189 / 209 ] 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 f)) (/ n (+ n f))) (/ (/ (- f n) (sqrt (+ n f))) (sqrt (+ f n))))))) * * * * [misc]progress: [ 190 / 209 ] 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 f)) (/ n (+ n f))) (/ (/ (- f n) 1) (+ f n)))))) * * * * [misc]progress: [ 191 / 209 ] 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 f)) (/ n (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))))))) * * * * [misc]progress: [ 192 / 209 ] 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 f)) (/ n (+ n f))) (/ (sqrt (- f n)) (/ (+ n f) (sqrt (- f n)))))))) * * * * [misc]progress: [ 193 / 209 ] simplifiying candidate # * * * * [misc]progress: [ 194 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* n n) (- (* f f) (* n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- n f) n (* f f)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (- (/ f (+ n f)) (/ n (+ n f))) (* (/ (- f n) (+ (pow n 3) (pow f 3))) (fma (- n f) n (* f f))))))) * * * * [misc]progress: [ 195 / 209 ] 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 f)) (/ n (+ n f))) (* (/ (- f n) (- (* n n) (* f f))) (- n f)))))) * * * * [misc]progress: [ 196 / 209 ] 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 (23 enodes) * [exit]simplify: Simplified to (fma (- n) (* n n) (pow f 3)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (fma (- n) (* n n) (pow f 3)) (* (+ n f) (+ (* f f) (+ (* n n) (* f n))))))))) * * * * [misc]progress: [ 197 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f f) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* f f) (* n n)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* (- (/ f (+ n f)) (/ n (+ n f))) (/ (- (* f f) (* n n)) (* (+ n f) (+ f n))))))) * * * * [misc]progress: [ 198 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 199 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 200 / 209 ] 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 f)) (/ n (+ n f))) (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 201 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* -1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 202 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 203 / 209 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (cbrt (/ (/ (- (- n) f) (- f n)) (* 1 (/ (- f n) (+ n f)))))) * * * * [misc]progress: [ 204 / 209 ] 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: [ 205 / 209 ] 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: [ 206 / 209 ] 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: [ 207 / 209 ] 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 f)) (/ n (+ n f))) -1)))) * * * * [misc]progress: [ 208 / 209 ] 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 f)) (/ n (+ n f))) 1)))) * * * * [misc]progress: [ 209 / 209 ] 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 f)) (/ n (+ n f))) 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ f 0) 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 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ 0 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 in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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) 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 (+ 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) 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 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 (+ 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) 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 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) -1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ -1 (/ (- f n) (+ f n))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- f n) (+ f n))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- f n) (+ f n))) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ (- n) n) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- f n) (+ f n))) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- f n) (+ f n)) in f * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ (- n) n) 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 0) into 1 * [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 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 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]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 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]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) 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]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 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 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 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 (+ 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 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 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 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) in (f n) around 0 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (/ -1 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 (+ 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 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 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 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- f n)) (log (+ f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (- f n)) (log (+ n f))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (exp (- (log (- f n)) (log (+ n f)))))) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (pow (/ (- f n) (+ n f)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (cbrt (pow (/ (- f n) (+ n f)) 3)))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (+ f n)) * * [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 2 1) to (λ (f n) (/ -1 (- (/ f (+ n f)) (/ n (+ f n))))) * * * * [misc]progress: [ 13 / 68 ] 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 (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (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 (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ n f)))))) * * * * [misc]progress: [ 14 / 68 ] 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 (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (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 (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ n f)))))) * * * * [misc]progress: [ 15 / 68 ] 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 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (- f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (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 (- f n)) (+ n f)) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f))))) * * * * [misc]progress: [ 16 / 68 ] 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 (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (/ (sqrt (- f n)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (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 (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ n f)))))) * * * * [misc]progress: [ 17 / 68 ] 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 (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (/ (sqrt (- f n)) (sqrt (+ n f))) (/ (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 (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ n f)))))) * * * * [misc]progress: [ 18 / 68 ] 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 2 1) to (λ (f n) (/ -1 (* (sqrt (- f n)) (/ (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 (- f n)) (+ n f)) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (sqrt (- f n)) (/ (sqrt (- f n)) (+ n f))))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (/ (/ 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 (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 2 2) to (λ (f n) (/ -1 (* (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ f n))) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (* (/ 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 (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 2 2) to (λ (f n) (/ -1 (* (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ n f)))))) * * * * [misc]progress: [ 21 / 68 ] 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) to (λ (f n) (/ -1 (* 1 (/ (- f n) (+ f n))))) * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [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 2 2) to (λ (f n) (/ -1 (* 1 (/ (- f n) (+ n f))))) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n f)) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (/ (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (+ n f))))) * * * * [misc]progress: [ 26 / 68 ] 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 2 2) to (λ (f n) (/ -1 (/ (/ (- f n) (sqrt (+ f n))) (sqrt (+ n f))))) * * * * [misc]progress: [ 27 / 68 ] 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 2) to (λ (f n) (/ -1 (/ (/ (- f n) 1) (+ n f)))) * * * * [misc]progress: [ 28 / 68 ] 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 2 1) to (λ (f n) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n)))))) * * * * [misc]progress: [ 29 / 68 ] 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) to (λ (f n) (/ -1 (/ (sqrt (- f n)) (/ (+ f n) (sqrt (- f n)))))) * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (- (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- f n) f (* n n)) * [misc]simplify: Simplified (2 2 2) to (λ (f n) (/ -1 (* (/ (- f n) (+ (pow f 3) (pow n 3))) (fma (- f n) f (* n n))))) * * * * [misc]progress: [ 32 / 68 ] 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 2) to (λ (f n) (/ -1 (* (/ (- f n) (- (* f f) (* n n))) (- f n)))) * * * * [misc]progress: [ 33 / 68 ] 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 (23 enodes) * [exit]simplify: Simplified to (fma (- n) (* n n) (pow f 3)) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (/ (fma (- n) (* n n) (pow f 3)) (* (+ f n) (+ (* f f) (+ (* n n) (* f n))))))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* f f) (* n n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* f f) (* n n)) * [misc]simplify: Simplified (2 2 1) to (λ (f n) (/ -1 (/ (- (* f f) (* n n)) (* (+ f n) (+ f n))))) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- f n) (+ f n))) * * [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 (cbrt (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (cbrt (/ (- f n) (+ n f))))) * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- f n) (+ f n))) * * [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 (sqrt (/ (- f n) (+ n f))) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (sqrt (/ (- f n) (+ f n)))) (sqrt (/ (- f n) (+ n f))))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- f n)) (cbrt (+ f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- f n)) (cbrt (+ n f))))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- f n)) (sqrt (+ f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt (- f n)) (sqrt (+ n f))))) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- f n)) (+ f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- f n)) (+ n f)))) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (cbrt (+ f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (cbrt (+ n f))) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- f n)) (cbrt (+ n f))))) * * * * [misc]progress: [ 53 / 68 ] 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 (- f n)) (sqrt (+ n f))) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ n f))))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- f n)) (+ f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- f n)) (+ n f)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (sqrt (- f n)) 1)) (/ (sqrt (- f n)) (+ n f)))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (cbrt (+ f n))) * * [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 2) to (λ (f n) (/ (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ n f))))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (sqrt (+ f n))) * * [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 2) to (λ (f n) (/ (/ -1 (/ 1 (sqrt (+ f n)))) (/ (- f n) (sqrt (+ n f))))) * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [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 2) to (λ (f n) (/ (/ -1 (/ 1 1)) (/ (- f n) (+ n f)))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- f n) (+ f n)) * * [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 2) to (λ (f n) (/ (/ -1 1) (/ (- f n) (+ n f)))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ f n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (- f n)) (/ 1 (+ f n)))) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (- (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- f n) f (* n n)) * [misc]simplify: Simplified (2 2) to (λ (f n) (/ (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (fma (- f n) f (* n n)))) * * * * [misc]progress: [ 61 / 68 ] 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) (/ (/ -1 (/ (- f n) (- (* f f) (* n n)))) (- f n))) * * * * [misc]progress: [ 62 / 68 ] 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) (* (/ -1 (- f n)) (+ n f))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2) to (λ (f n) (/ -1 -1)) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (f n) (/ -1 1)) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (f n) (/ -1 1)) * * * * [misc]progress: [ 66 / 68 ] 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: [ 67 / 68 ] 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: [ 68 / 68 ] 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: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (n f) * * * * [misc]regimes: Trying to branch on n from (# #) * * * * [misc]regimes: Trying to branch on f from (# #) * * * [misc]regime: Found split indices: #