* [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 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ n f) (- f n)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ n f)) (log (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (+ f n)) (log (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (exp (- (log (+ f n)) (log (- f n)))))) * * * * [misc]progress: [ 3 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) 3)))) * * * * [misc]progress: [ 6 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 11 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (cbrt (+ n f)) (sqrt (- f n)))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 12 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n))))) * * * * [misc]progress: [ 13 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 14 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n)))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n)))))) * * * * [misc]progress: [ 15 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (sqrt (+ f n)) (/ (sqrt (+ n f)) (- f n))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))))) * * * * [misc]progress: [ 16 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))))) * [enter]simplify: Simplifying (/ (+ n f) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n)))))) * * * * [misc]progress: [ 17 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (/ 1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n)))))) * [enter]simplify: Simplifying (/ (+ n f) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))))) * * * * [misc]progress: [ 18 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* 1 (/ (+ n f) (- f n))))) * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* 1 (/ (+ f n) (- f n))))) * * * * [misc]progress: [ 19 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (/ (/ (+ n f) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 23 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (/ (/ (+ n f) (sqrt (- f n))) (sqrt (- f n))))) * * * * [misc]progress: [ 24 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (/ (/ (+ n f) 1) (- f n)))) * * * * [misc]progress: [ 25 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ n f)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- f n) (cbrt (+ n f)))))) * * * * [misc]progress: [ 26 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (sqrt (+ f n)) (/ (- f n) (sqrt (+ n f)))))) * * * * [misc]progress: [ 27 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (+ n f) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n))))) * * * * [misc]progress: [ 29 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (/ (+ n f) (- (* f f) (* n n))) (+ n f)))) * * * * [misc]progress: [ 30 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow n 3) (pow f 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (+ (pow n 3) (pow f 3)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (+ (pow n 3) (pow f 3)) (* (- f n) (+ (* n n) (- (* f f) (* n f))))))) * * * * [misc]progress: [ 31 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* n n) (* f f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ n f) (- n f)) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (+ n f) (- n f)) (* (- f n) (- n f))))) * * * * [misc]progress: [ 32 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 1)) * * * * [misc]progress: [ 33 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- -1)) * * * * [misc]progress: [ 34 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- -1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in f * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 4 (/ 1 f)) 1)) into (* 6 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 0)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 4 (/ 1 f)) 1)) into (* 6 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 0)) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (/ 2 f) * [misc]taylor: Taking taylor expansion of (/ 2 f) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 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 (+ (* 1 (* 2 (/ 1 (pow f 2)))) (+ (* (* 4 (/ 1 f)) (* 2 (/ 1 f))) (* (* 8 (/ 1 (pow f 2))) 1))) into (* 18 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 6 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 18 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 6 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 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 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 (+ (* 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 (+ (* 1 (* 2 (/ 1 (pow f 3)))) (+ (* (* 4 (/ 1 f)) (* 2 (/ 1 (pow f 2)))) (+ (* (* 8 (/ 1 (pow f 2))) (* 2 (/ 1 f))) (* (* 12 (/ 1 (pow f 3))) 1)))) into (* 38 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 6 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 6 (/ 1 f))) 1) (pow (* 2 (* 18 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 38 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 6 f)) (* 0 0)))) into (* 2/3 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2 (/ 1 f)) 3) 6)) (* (/ (pow (* 2 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/3 (/ 1 (pow f 3))) 1) 1)))) into (/ 2 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 4 (/ 1 n)) 1)) into (* 6 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 6 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 n)) (* 0 0)) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 f)))) (* (* 4 (/ 1 f)) -1)) into (- (* 6 (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 (log -1))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 f) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 f)))) (* (* 8 (/ 1 (pow f 2))) -1))) into (- (* 18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 6 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 3))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 8 (/ 1 (pow f 2))) (- (* 2 (/ 1 f)))) (* (* 12 (/ 1 (pow f 3))) -1)))) into (- (* 38 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 1) (pow (* 2 (- (* 18 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 38 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 6 f)) (* 0 (log -1))))) into (* 2/3 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 3) 6)) (* (/ (pow (* 2 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/3 (/ 1 (pow f 3))) 1) 1)))) into (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 4 (/ 1 n)) 1)) into (* 6 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 6 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 6 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 n)) (* 0 0)) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 f)))) (* (* 4 (/ 1 f)) -1)) into (- (* 6 (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 6 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 6 f)) (* 0 (log -1))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 f) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 f)))) (* (* 8 (/ 1 (pow f 2))) -1))) into (- (* 18 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 6 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 3))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 8 (/ 1 (pow f 2))) (- (* 2 (/ 1 f)))) (* (* 12 (/ 1 (pow f 3))) -1)))) into (- (* 38 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 6 (/ 1 f)))) 1) (pow (* 2 (- (* 18 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 38 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 6 f)) (* 0 (log -1))))) into (* 2/3 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2 (/ 1 f)) 3) 6)) (* (/ (pow (* 2 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/3 (/ 1 (pow f 3))) 1) 1)))) into (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]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) 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow f 2)))) (+ (* (* 2 (/ 1 f)) (* 2 (/ 1 f))) (* (* 2 (/ 1 (pow f 2))) 1))) into (* 8 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 8 in f * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]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 (+ (* 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]taylor: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 12 in f * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 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 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))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 4 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 (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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]taylor: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 8 in f * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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 (+ (* 4 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 (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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]taylor: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 12 in f * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 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 (- 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)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 4 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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]taylor: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 8 in f * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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 (+ (* 4 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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]taylor: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 12 in f * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 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 1) * [misc]approximate: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 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) 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 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 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 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 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 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 (+ (* 1 (* 2 (/ 1 (pow f 2)))) (+ (* (* 4 (/ 1 f)) (* 2 (/ 1 f))) (* (* 8 (/ 1 (pow f 2))) 1))) into (* 18 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 18 in f * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 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 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 (+ (* 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 (+ (* 1 (* 2 (/ 1 (pow f 3)))) (+ (* (* 4 (/ 1 f)) (* 2 (/ 1 (pow f 2)))) (+ (* (* 8 (/ 1 (pow f 2))) (* 2 (/ 1 f))) (* (* 12 (/ 1 (pow f 3))) 1)))) into (* 38 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 38 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 38 in f * [misc]backup-simplify: Simplify 38 into 38 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 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))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 (/ 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 (/ 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 (/ 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 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 f)))) (* (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 f)))) (* (* 8 (/ 1 (pow f 2))) -1))) into (- (* 18 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 18 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 18 in f * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 3))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 8 (/ 1 (pow f 2))) (- (* 2 (/ 1 f)))) (* (* 12 (/ 1 (pow f 3))) -1)))) into (- (* 38 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 38 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 38 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 38 in f * [misc]backup-simplify: Simplify 38 into 38 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 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)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]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 (/ -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 (/ -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 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2 (/ 1 f)))) (* (* 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 f)))) (* (* 8 (/ 1 (pow f 2))) -1))) into (- (* 18 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 18 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 18 in f * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (+ (* 1 (- (* 2 (/ 1 (pow f 3))))) (+ (* (* 4 (/ 1 f)) (- (* 2 (/ 1 (pow f 2))))) (+ (* (* 8 (/ 1 (pow f 2))) (- (* 2 (/ 1 f)))) (* (* 12 (/ 1 (pow f 3))) -1)))) into (- (* 38 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 38 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 38 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 38 in f * [misc]backup-simplify: Simplify 38 into 38 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ (+ n f) (- f n)) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 2)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 6 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (+ n f) (+ n f)) (+ n f))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (+ f n) (cbrt (* (* (- f n) (- f n)) (- f n)))))) * * * * [misc]progress: [ 7 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ (+ n f) (- f n)) (+ n f)) (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ f n) (+ f n)) (/ (- f n) (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (/ (* (+ f n) (+ f n)) (/ (- f n) (+ f n)))) (cbrt (* (- f n) (- f n)))))) * * * * [misc]progress: [ 8 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (+ n f) (/ (+ n f) (- f n))) (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ f n) (+ f n)) (/ (- f n) (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (/ (* (+ f n) (+ f n)) (/ (- f n) (+ f n)))) (cbrt (* (- f n) (- f n)))))) * * * * [misc]progress: [ 9 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (+ f n) 3) (* (- f n) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (/ (pow (+ f n) 3) (* (- f n) (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 10 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (+ n f) (+ n f)) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ f n) (+ f n)) (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (* (* (+ f n) (+ f n)) (/ (+ f n) (- f n)))) (cbrt (* (- f n) (- f n)))))) * * * * [misc]progress: [ 11 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ (+ n f) (- f n)) (+ n f)) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (+ f n) 3) (* (- f n) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (/ (pow (+ f n) 3) (* (- f n) (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 12 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (+ n f) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (+ f n) 3) (* (- f n) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (cbrt (/ (pow (+ f n) 3) (* (- f n) (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 13 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (+ f n) (- f n)))) * * * * [misc]progress: [ 16 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (pow (/ (+ f n) (- f n)) (+ 1 1)) (/ (+ n f) (- f n)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (pow (/ (+ n f) (- f n)) (+ 1 1)) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 19 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (pow (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) 1) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 20 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (pow (/ (+ f n) (- f n)) (+ 1 1)) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 22 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (- (log (+ f n)) (log (- f n))) (- (log (+ f n)) (log (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (exp (+ (- (log (+ f n)) (log (- f n))) (- (log (+ f n)) (log (- f n))))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 24 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ n f)) (log (- f n))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (exp (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 25 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (+ n f) (- f n))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (exp (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 26 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (exp (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 27 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 30 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 31 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 32 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 33 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (/ (* (+ f n) (+ f n)) (* (- f n) (- f n))) (/ (+ n f) (- f n)))))) * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (/ (* (+ n f) (+ n f)) (* (- f n) (- f n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 37 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n))))) (cbrt (/ (+ f n) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 39 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (sqrt (/ (+ n f) (- f n)))) (sqrt (/ (+ f n) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 40 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 41 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 42 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1)) (/ (cbrt (+ f n)) (- f n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 43 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 44 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 45 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (sqrt (+ n f)) 1)) (/ (sqrt (+ f n)) (- f n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 46 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (cbrt (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 47 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ 1 (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 48 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ 1 1)) (/ (+ f n) (- f n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 49 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) 1) (/ (+ f n) (- f n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 50 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (+ n f)) (/ 1 (- f n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 51 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- (pow f 3) (pow n 3)))) (+ (* f f) (* (+ f n) n))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 52 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- (* f f) (* n n)))) (+ n f)) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 53 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 54 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (sqrt (/ (+ f n) (- f n))) (* (sqrt (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 55 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 56 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 57 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (* (cbrt (+ f n)) (cbrt (+ f n))) (* (/ (cbrt (+ n f)) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 58 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 59 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ (sqrt (+ f n)) (sqrt (- f n))) (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 60 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (sqrt (+ f n)) (* (/ (sqrt (+ n f)) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 61 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 62 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ 1 (sqrt (- f n))) (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 63 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* 1 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 64 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (+ f n) (* (/ 1 (- f n)) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 66 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ (+ f n) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 67 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (* (/ 1 (- f n)) (* (+ f n) (/ (+ n f) (- f n)))) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 68 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (cbrt (* (/ (* (/ (+ n f) (- f n)) (+ n f)) (- f n)) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 69 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (* (+ f n) (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (cbrt (* (/ (/ (* (+ f n) (+ f n)) (- f n)) (- f n)) (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 70 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) (+ (+ 1 1) 1))))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (+ 1 1) 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (pow (/ (+ n f) (- f n)) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 72 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) (+ 2 1))))) * [enter]simplify: Simplifying (+ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (pow (/ (+ n f) (- f n)) (+ 1 2))))) * * * * [misc]progress: [ 73 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) (+ (+ 1 1) 1))))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (+ 1 1) 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (pow (/ (+ n f) (- f n)) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 74 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 1)))) * * * * [misc]progress: [ 75 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 1)))) * * * * [misc]progress: [ 76 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) 3)))) * * * * [misc]progress: [ 77 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 78 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) (+ 2 1))))) * * * * [misc]progress: [ 79 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 80 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (+ (- (log (+ f n)) (log (- f n))) (+ (- (log (+ f n)) (log (- f n))) (- (log (+ f n)) (log (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (- (log (+ f n)) (log (- f n))) (+ (- (log (+ f n)) (log (- f n))) (- (log (+ f n)) (log (- f n))))))))) * * * * [misc]progress: [ 82 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (+ (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))))))) * * * * [misc]progress: [ 83 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ n f)) (log (- f n))) (log (/ (+ n f) (- f n)))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (+ (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))))))) * * * * [misc]progress: [ 84 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ n f)) (log (- f n))) (log (/ (+ n f) (- f n)))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to (+ (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))))))) * * * * [misc]progress: [ 85 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (+ n f) (- f n))) (- (log (+ n f)) (log (- f n)))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))))))) * * * * [misc]progress: [ 86 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (+ n f) (- f n))) (- (log (+ n f)) (log (- f n)))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))))))) * * * * [misc]progress: [ 87 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))))))) * * * * [misc]progress: [ 88 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (log (/ (+ f n) (- f n))) (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))))))))) * * * * [misc]progress: [ 89 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (+ (log (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (log (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (log (/ (+ f n) (- f n)))))))) * * * * [misc]progress: [ 90 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (exp (+ (log (/ (+ f n) (- f n))) (log (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))))))) * * * * [misc]progress: [ 91 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 94 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 95 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 96 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- 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) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 97 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 98 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 99 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 100 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 101 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 102 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ f n) (- f n)) 3) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (cbrt (pow (pow (/ (+ f n) (- f n)) 3) 3))))) * * * * [misc]progress: [ 103 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 173 ] 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 (73 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (pow (+ f n) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (/ (pow (+ f n) 3) (* (* (- f n) (- f n)) (- f n)))))) * [enter]simplify: Simplifying (* (* (- f n) (- f n)) (- f n)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (pow (- f n) 3) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (/ (pow (+ f n) 3) (pow (- f n) 3))))) * * * * [misc]progress: [ 107 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ n f) (- f n)) (+ n f)) (+ n f)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (/ (+ f n) (- f n)) (* (+ f n) (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (/ (* (/ (+ f n) (- f n)) (* (+ f n) (+ f n))) (* (- f n) (- f n)))))) * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (/ (* (* (/ (+ n f) (- f n)) (+ n f)) (+ n f)) (* (- f n) (- f n)))))) * * * * [misc]progress: [ 108 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ n f) (/ (+ n f) (- f n))) (+ n f)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (* (/ (+ f n) (- f n)) (* (+ f n) (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (/ (* (/ (+ f n) (- f n)) (* (+ f n) (+ f n))) (* (- f n) (- f n)))))) * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (/ (* (* (+ n f) (/ (+ n f) (- f n))) (+ n f)) (* (- f n) (- f n)))))) * * * * [misc]progress: [ 109 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n))))) (cbrt (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 111 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (sqrt (/ (+ n f) (- f n)))) (sqrt (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 112 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))))))) * * * * [misc]progress: [ 113 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (- f n))))))) * * * * [misc]progress: [ 114 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1)) (/ (cbrt (+ f n)) (- f n)))))) * * * * [misc]progress: [ 115 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n))))))) * * * * [misc]progress: [ 116 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))))))) * * * * [misc]progress: [ 117 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ n f)) 1)) (/ (sqrt (+ f n)) (- f n)))))) * * * * [misc]progress: [ 118 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (cbrt (- f n))))))) * * * * [misc]progress: [ 119 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ 1 (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n))))))) * * * * [misc]progress: [ 120 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ 1 1)) (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 121 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1) (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 122 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f)) (/ 1 (- f n)))))) * * * * [misc]progress: [ 123 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- (pow f 3) (pow n 3)))) (+ (* f f) (* (+ f n) n)))))) * * * * [misc]progress: [ 124 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- (* f f) (* n n)))) (+ n f))))) * * * * [misc]progress: [ 125 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (* (/ (+ f n) (- f n)) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 126 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (/ (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (+ n f)) (- f n))))) * * * * [misc]progress: [ 127 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ n f) (+ n f)) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* (* (+ f n) (+ f n)) (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (/ (* (* (+ f n) (+ f n)) (/ (+ f n) (- f n))) (* (- f n) (- f n)))))) * * * * [misc]progress: [ 128 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ n f) (- f n)) (+ n f)) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (pow (+ f n) 3) (* (- f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (/ (/ (pow (+ f n) 3) (* (- f n) (- f n))) (- f n))))) * * * * [misc]progress: [ 129 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ n f) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (pow (+ f n) 3) (* (- f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (/ (/ (pow (+ f n) 3) (* (- f n) (- f n))) (- f n))))) * * * * [misc]progress: [ 130 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 132 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ n f)) (log (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (log (+ f n)) (log (- f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (exp (- (log (+ f n)) (log (- f n)))))))) * * * * [misc]progress: [ 133 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (cbrt (pow (/ (+ f n) (- f n)) 3)))))) * * * * [misc]progress: [ 136 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ n f)) (cbrt (- f n)))))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 141 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (cbrt (+ n f)) (sqrt (- f n)))))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n)))))))) * * * * [misc]progress: [ 142 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n))))))) * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n))))))) * * * * [misc]progress: [ 143 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 144 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n)))))))) * * * * [misc]progress: [ 145 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (+ n f)) (- f n))))))) * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n))))))) * * * * [misc]progress: [ 146 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n)))))))) * [enter]simplify: Simplifying (/ (+ n f) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n)))))))) * * * * [misc]progress: [ 147 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ 1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n)))))))) * [enter]simplify: Simplifying (/ (+ n f) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))))))) * * * * [misc]progress: [ 148 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 1 (/ (+ n f) (- f n))))))) * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 1 (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 149 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 150 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 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 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (/ (+ n f) (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (- f n))))))) * * * * [misc]progress: [ 153 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- f n)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (/ (+ n f) (sqrt (- f n))) (sqrt (- f n))))))) * * * * [misc]progress: [ 154 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (- f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- f n) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (/ (+ n f) 1) (- f n)))))) * * * * [misc]progress: [ 155 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ n f)) (cbrt (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- f n) (cbrt (+ n f)))))))) * * * * [misc]progress: [ 156 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ n f)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (sqrt (+ f n)) (/ (- f n) (sqrt (+ n f)))))))) * * * * [misc]progress: [ 157 / 173 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- (pow f 3) (pow n 3))) (+ (* f f) (* (+ f n) n))))))) * * * * [misc]progress: [ 159 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ f n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n f) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* (/ (+ n f) (- (* f f) (* n n))) (+ n f)))))) * * * * [misc]progress: [ 160 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow n 3) (pow f 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (+ (pow n 3) (pow f 3)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ (pow n 3) (pow f 3)) (* (- f n) (+ (* n n) (- (* f f) (* n f))))))))) * * * * [misc]progress: [ 161 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* n n) (* f f)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ n f) (- n f)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (* (+ n f) (- n f)) (* (- f n) (- n f))))))) * * * * [misc]progress: [ 162 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 1)) * * * * [misc]progress: [ 163 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (cbrt -1))) * * * * [misc]progress: [ 164 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (cbrt -1))) * * * * [misc]progress: [ 165 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (* 1 (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 166 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (* 1 (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 167 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (cbrt (* 1 (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 168 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (cbrt 1))) * * * * [misc]progress: [ 169 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (cbrt -1))) * * * * [misc]progress: [ 170 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (cbrt -1))) * * * * [misc]progress: [ 171 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1)))) * * * * [misc]progress: [ 172 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) -1)))) * * * * [misc]progress: [ 173 / 173 ] simplifiying candidate # * [enter]simplify: Simplifying -1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 2) to (λ (f n) (- (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) -1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ n f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ n f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ n f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]taylor: Taking taylor expansion of (/ 2/3 f) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 2/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 22/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 22/81 1) into 22/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 22/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (/ 1 f) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/3 (* (/ 1 f) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/3 in f * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2/9 in f * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 22/81 in f * [misc]backup-simplify: Simplify 22/81 into 22/81 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]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) 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 (pow f 2)))) (+ (* (* 2 (/ 1 f)) (* 2 (/ 1 f))) (* (* 2 (/ 1 (pow f 2))) 1))) into (* 8 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 8 in f * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]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 (+ (* 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]taylor: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 12 in f * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 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 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))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 4 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 (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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]taylor: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 8 in f * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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 (+ (* 4 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 (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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]taylor: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 12 in f * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 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 (- 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)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (+ (* 4 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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]taylor: Taking taylor expansion of (* 8 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 8 in f * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8 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 (+ (* 4 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 (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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]taylor: Taking taylor expansion of (* 12 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 12 in f * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 12 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 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in f * [misc]taylor: Rewrote expression to (pow (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 1) 1)))) into (/ 4/3 f) * [misc]taylor: Taking taylor expansion of (/ 4/3 f) in f * [misc]taylor: Taking taylor expansion of 4/3 in f * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 4/3 1) into 4/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 8/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 8/9 in f * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 8/9 1) into 8/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 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 (+ (* 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 (/ (* (pow (* 1 (* 4 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1) (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 4 f)) (* 0 0)))) into (* 4/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 68/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 68/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 68/81 in f * [misc]backup-simplify: Simplify 68/81 into 68/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 68/81 1) into 68/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 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 (/ 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 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 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 (/ 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 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 1) 1)))) into (/ 4/3 f) * [misc]taylor: Taking taylor expansion of (/ 4/3 f) in f * [misc]taylor: Taking taylor expansion of 4/3 in f * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 4/3 1) into 4/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 8/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 8/9 in f * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 8/9 1) into 8/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (/ (* (pow (* 1 (* 4 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1) (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 4 f)) (* 0 0)))) into (* 4/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 68/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 68/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 68/81 in f * [misc]backup-simplify: Simplify 68/81 into 68/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 68/81 1) into 68/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -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 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -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 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 1) 1)))) into (/ 4/3 f) * [misc]taylor: Taking taylor expansion of (/ 4/3 f) in f * [misc]taylor: Taking taylor expansion of 4/3 in f * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 4/3 1) into 4/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow f 2)) * [misc]taylor: Taking taylor expansion of (/ 8/9 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of 8/9 in f * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 8/9 1) into 8/9 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 8/9 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (/ (* (pow (* 1 (* 4 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1) (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 4 f)) (* 0 0)))) into (* 4/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 68/81 (pow f 3)) * [misc]taylor: Taking taylor expansion of (/ 68/81 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of 68/81 in f * [misc]backup-simplify: Simplify 68/81 into 68/81 * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 68/81 1) into 68/81 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 68/81 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))) in f * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in f * [misc]taylor: Rewrote expression to (pow (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ n f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in f * [misc]taylor: Taking taylor expansion of (+ n f) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- f n) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (+ 0 (- n)) into (- n) * [misc]backup-simplify: Simplify (/ n (- n)) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ n f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 f))) (* (* 2 (/ 1 f)) 1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ n f) (- f n))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ n f) (- f n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n * [misc]taylor: Taking taylor expansion of (/ (+ n f) (- f n)) in n * [misc]taylor: Taking taylor expansion of (+ n f) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of (- f n) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 f) into f * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ f 0) into f * [misc]backup-simplify: Simplify (/ f f) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) 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 (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (/ 2/3 f) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 1) 1)))) into (/ 4/3 f) * [misc]backup-simplify: Simplify (+ (* 1 (/ 2/3 f)) (* (/ 4/3 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow f 2)) * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ -1 f)))) into (* 2 (/ 1 (pow f 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 2/9 (pow f 2))) (+ (* (/ 4/3 f) (/ 2/3 f)) (* (/ 8/9 (pow f 2)) 1))) into (* 2 (/ 1 (pow f 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 2))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 f) (+ (* 1 (/ 0 f)) (* (* 2 (/ 1 f)) (/ 0 f)) (* (* 2 (/ 1 (pow f 2))) (/ -1 f)))) into (* 2 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1) (pow (* 2 (* 2 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 0)))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 22/81 (pow f 3)) * [misc]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 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 (+ (* 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 (/ (* (pow (* 1 (* 4 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1) (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 4 f)) (* 0 0)))) into (* 4/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 68/81 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 22/81 (pow f 3))) (+ (* (/ 4/3 f) (/ 2/9 (pow f 2))) (+ (* (/ 8/9 (pow f 2)) (/ 2/3 f)) (* (/ 68/81 (pow f 3)) 1)))) into (* 2 (/ 1 (pow f 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 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 (/ 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 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 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 (/ 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 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 n) (/ 1 f)) (- (/ 1 f) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 n) (/ 1 f)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (/ 1 f) into (/ 1 f) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 f)) into (/ 1 f) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 f) 0) into (/ 1 f) * [misc]backup-simplify: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 1) 1)))) into (/ 4/3 f) * [misc]backup-simplify: Simplify (+ (* 1 (* 2/3 (* (/ 1 f) (pow -1 1/3)))) (* (/ 4/3 f) (pow -1 1/3))) into (* 2 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 f) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3)))) (+ (* (/ 4/3 f) (* 2/3 (* (/ 1 f) (pow -1 1/3)))) (* (/ 8/9 (pow f 2)) (pow -1 1/3)))) into (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 f))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (/ (* (pow (* 1 (* 4 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1) (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 4 f)) (* 0 0)))) into (* 4/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 68/81 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3)))) (+ (* (/ 4/3 f) (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3)))) (+ (* (/ 8/9 (pow f 2)) (* 2/3 (* (/ 1 f) (pow -1 1/3)))) (* (/ 68/81 (pow f 3)) (pow -1 1/3))))) into (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in (n f) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 4 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 n)) (* 0 0)) into (* 4/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in f * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in f * [misc]taylor: Taking taylor expansion of (- n) in f * [misc]taylor: Taking taylor expansion of n in f * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 n) 0) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -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 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (pow (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -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 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* (- (* 2 (/ 1 f))) -1)) into (* 4 (/ 1 f)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 4 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4 f)) (* 0 0)) into (* 4/3 (/ 1 f)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- n)) (/ 1 (- f))) (- (/ 1 (- f)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- n)) (/ 1 (- f))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in n * [misc]taylor: Taking taylor expansion of (- f) in n * [misc]taylor: Taking taylor expansion of f in n * [misc]backup-simplify: Simplify f into f * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (/ 1 (- f)) into (/ -1 f) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 f)) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 f) 0) into (- (/ 1 f)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 f)) 1) (+ (* -1 (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1)) (pow -1 1)))) 1) into (/ 2 f) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 f)) (* 0 (log -1))) into (* 2/3 (/ 1 f)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 1) 1)))) into (* 2/3 (* (/ 1 f) (pow -1 1/3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 1) 1)))) into (/ 4/3 f) * [misc]backup-simplify: Simplify (+ (* 1 (* 2/3 (* (/ 1 f) (pow -1 1/3)))) (* (/ 4/3 f) (pow -1 1/3))) into (* 2 (* (/ 1 f) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 f) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 f)) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 2)))) * [misc]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 (/ (+ (* -1 (/ (* (pow (* 1 (* 4 (/ 1 f))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 f)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 8/9 (pow f 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3)))) (+ (* (/ 4/3 f) (* 2/3 (* (/ 1 f) (pow -1 1/3)))) (* (/ 8/9 (pow f 2)) (pow -1 1/3)))) into (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 2)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 2)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 f)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow f 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow f 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 2 f)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow f 3))) 1) 1)))) into (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- f) into (- f) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 f) (/ 0 (- f))) (* 0 (/ 0 (- f))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 f))) (/ 0 1)) (* (- (* 2 (/ 1 (pow f 2)))) (/ (- (/ 1 f)) 1)))) into (- (* 2 (/ 1 (pow f 3)))) * [misc]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 (/ (* (pow (* 1 (* 4 (/ 1 f))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 4 (/ 1 f))) 1) (pow (* 2 (* 8 (/ 1 (pow f 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 12 (/ 1 (pow f 3)))) 1)) (pow 1 1)))) 6) into (/ 4/3 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 4/3 (pow f 3))) (+ (* 0 0) (+ (* 0 (/ 4 f)) (* 0 0)))) into (* 4/9 (/ 1 (pow f 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4/3 (/ 1 f)) 3) 6)) (* (/ (pow (* 4/3 (/ 1 f)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4/9 (/ 1 (pow f 3))) 1) 1)))) into (/ 68/81 (pow f 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 22/81 (* (/ 1 (pow f 3)) (pow -1 1/3)))) (+ (* (/ 4/3 f) (* 2/9 (* (/ 1 (pow f 2)) (pow -1 1/3)))) (+ (* (/ 8/9 (pow f 2)) (* 2/3 (* (/ 1 f) (pow -1 1/3)))) (* (/ 68/81 (pow f 3)) (pow -1 1/3))))) into (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (pow f 3)) (pow -1 1/3))) in f * [misc]taylor: Taking taylor expansion of 2 in f * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow f 3)) (pow -1 1/3)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (pow f 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow -1 1/3) in f * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log -1))) in f * [misc]taylor: Taking taylor expansion of (* 1/3 (log -1)) in f * [misc]taylor: Taking taylor expansion of 1/3 in f * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log -1) in f * [misc]taylor: Taking taylor expansion of -1 in f * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow -1 1/3))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow -1 1/3)) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n))))) (cbrt (cbrt (/ (+ n f) (- f n)))))))) * * * * [misc]progress: [ 6 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (sqrt (/ (+ f n) (- f n)))) (cbrt (sqrt (/ (+ n f) (- f n)))))))) * * * * [misc]progress: [ 7 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (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 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (cbrt (/ (cbrt (+ n f)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 8 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (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 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (* (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (+ f n)))) (cbrt (/ (cbrt (+ n f)) (sqrt (- f n)))))))) * * * * [misc]progress: [ 9 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (/ (cbrt (+ n f)) (- f n))))))) * * * * [misc]progress: [ 10 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (/ (/ (sqrt (+ f n)) (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (sqrt (+ n f)) (cbrt (- f n)))))))) * * * * [misc]progress: [ 11 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ f n)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (/ (sqrt (+ f n)) (sqrt (- f n)))) (cbrt (/ (sqrt (+ n f)) (sqrt (- f n)))))))) * * * * [misc]progress: [ 12 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ n f)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ f n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (sqrt (+ f n))) (cbrt (/ (sqrt (+ n f)) (- f n))))))) * * * * [misc]progress: [ 13 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (cbrt (/ (+ n f) (cbrt (- f n)))))))) * * * * [misc]progress: [ 14 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (/ 1 (sqrt (- f n)))) (cbrt (/ (+ n f) (sqrt (- f n)))))))) * * * * [misc]progress: [ 15 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt 1) (cbrt (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 16 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt 1) (cbrt (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 17 / 143 ] 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) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (+ f n)) (cbrt (/ 1 (- f n))))))) * * * * [misc]progress: [ 18 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- (pow f 3) (pow n 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- (pow f 3) (pow n 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (/ (+ f n) (- (pow f 3) (pow n 3)))) (cbrt (+ (* f f) (+ (* n n) (* f n)))))))) * * * * [misc]progress: [ 19 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- (* f f) (* n 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 (28 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- f n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (/ 1 (- f n))) (cbrt (+ f n)))))) * * * * [misc]progress: [ 20 / 143 ] 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) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 21 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (pow (/ (+ f n) (- f n)) (+ 1 1))) (cbrt (/ (+ n f) (- f n)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (pow (/ (+ n f) (- f n)) (+ 1 1))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 26 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (pow (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) 1)) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 27 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (pow (/ (+ f n) (- f n)) (+ 1 1))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 29 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ n f)) (log (- f n))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (- (log (+ f n)) (log (- f n))) (- (log (+ f n)) (log (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (exp (+ (- (log (+ f n)) (log (- f n))) (- (log (+ f n)) (log (- f n)))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 31 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ n f)) (log (- f n))) (log (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (exp (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 32 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (+ n f) (- f n))) (- (log (+ n f)) (log (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (exp (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 33 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (+ n f) (- f n))) (log (/ (+ n f) (- f n)))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (exp (+ (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n)))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 34 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 37 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 38 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 39 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (cbrt (* (pow (/ (+ f n) (- f n)) 3) (pow (/ (+ f n) (- f n)) 3)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 40 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (+ n f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ f n) (+ f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (/ (* (+ f n) (+ f n)) (* (- f n) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * [enter]simplify: Simplifying (* (- f n) (- f n)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (/ (* (+ n f) (+ n f)) (* (- f n) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 44 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n))))) (cbrt (/ (+ f n) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 46 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (sqrt (/ (+ n f) (- f n)))) (sqrt (/ (+ f n) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 47 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 48 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 49 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1)) (/ (cbrt (+ f n)) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 50 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 51 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (sqrt (+ n f)) (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 52 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (- f n)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (sqrt (+ n f)) 1)) (/ (sqrt (+ f n)) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 53 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (cbrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (cbrt (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 54 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (+ f n) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ 1 (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 55 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ 1 1)) (/ (+ f n) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 56 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) 1) (/ (+ f n) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 57 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- f n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (+ n f)) (/ 1 (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 58 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* f f) (+ (* n n) (* f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* f f) (* (+ f n) n)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- (pow f 3) (pow n 3)))) (+ (* f f) (* (+ f n) n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 59 / 143 ] 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 1 2) to (λ (f n) (- (* (cbrt (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- (* f f) (* n n)))) (+ n f))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 60 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (* (cbrt (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 61 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (sqrt (/ (+ f n) (- f n))) (* (sqrt (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 62 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 63 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (/ (cbrt (+ f n)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 64 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (+ f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (* (cbrt (+ f n)) (cbrt (+ f n))) (* (/ (cbrt (+ n f)) (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 65 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 66 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) (sqrt (- f n))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ f n)) (sqrt (- f n))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (/ (sqrt (+ f n)) (sqrt (- f n))) (* (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 67 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ n f)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (sqrt (+ f n)) (* (/ (sqrt (+ n f)) (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 68 / 143 ] 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 1) to (λ (f n) (- (* (cbrt (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (* (/ (+ n f) (cbrt (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 69 / 143 ] 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 1) to (λ (f n) (- (* (cbrt (* (/ 1 (sqrt (- f n))) (* (/ (+ n f) (sqrt (- f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 70 / 143 ] 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 1) to (λ (f n) (- (* (cbrt (* 1 (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 71 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ n f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ f n) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (+ f n) (* (/ 1 (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 73 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- (pow f 3) (pow n 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (+ f n) (- (pow f 3) (pow n 3))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (/ (+ f n) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 74 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ n f) (- (* f f) (* n n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ 1 (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (* (/ 1 (- f n)) (* (+ f n) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 75 / 143 ] 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 1 2) to (λ (f n) (- (* (cbrt (/ (* (/ (+ n f) (- f n)) (+ n f)) (- f n))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 76 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ n f) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (* (+ f n) (+ f n)) (- f n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f n) (- (* (cbrt (/ (/ (* (+ f n) (+ f n)) (- f n)) (- f n))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 77 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 83 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ n f) (+ n f))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (* (+ f n) (+ f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (/ (cbrt (* (+ f n) (+ f n))) (cbrt (* (- f n) (- f n)))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 84 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ n f) (- f n)) (+ n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (/ (- f n) (+ f n)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (/ (cbrt (/ (+ f n) (/ (- f n) (+ f n)))) (cbrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 85 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ n f) (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ f n) (+ f n)) (- f n))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (/ (cbrt (/ (* (+ f n) (+ f n)) (- f n))) (cbrt (- f n))) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 86 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (pow (pow (/ (+ f n) (- f n)) 3) 1/3))) * * * * [misc]progress: [ 91 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ f n) (- f n))) (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (pow (* (cbrt (/ (+ f n) (- f n))) (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) 1))) * * * * [misc]progress: [ 92 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (pow (cbrt (/ (+ f n) (- f n))) 3))) * * * * [misc]progress: [ 93 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (log (cbrt (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ f n) (- f n)))) (log (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (exp (+ (log (cbrt (/ (+ f n) (- f n)))) (log (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))))))) * * * * [misc]progress: [ 95 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (pow (/ (+ f n) (- f n)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (cbrt (pow (/ (+ f n) (- f n)) 3)))) * * * * [misc]progress: [ 98 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ n f) (+ n f))) (cbrt (+ n f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ f n) (+ 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) (- f n))) (cbrt (- f n)))))) * [enter]simplify: Simplifying (* (cbrt (* (- f n) (- f n))) (cbrt (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- f n) (- f n))) (cbrt (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (/ (* (cbrt (* (+ n f) (+ n f))) (cbrt (+ n f))) (* (cbrt (* (- f n) (- f n))) (cbrt (- f n)))))) * * * * [misc]progress: [ 102 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (+ n f) (- f n)) (+ n f))) (cbrt (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (+ f n)) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [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) to (λ (f n) (- (/ (* (cbrt (* (/ (+ n f) (- f n)) (+ n f))) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 103 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ n f) (/ (+ n f) (- f n)))) (cbrt (+ n f))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (cbrt (+ f n)) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (+ f n)) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) * [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) to (λ (f n) (- (/ (* (cbrt (* (+ n f) (/ (+ n f) (- f n)))) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))) * * * * [misc]progress: [ 104 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n)))))) (cbrt (cbrt (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 106 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (sqrt (/ (+ n f) (- f n))))) (cbrt (sqrt (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 107 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (cbrt (+ f n)) (cbrt (- f n))))))) * * * * [misc]progress: [ 108 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ f n)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))))) (cbrt (/ (cbrt (+ f n)) (sqrt (- f n))))))) * * * * [misc]progress: [ 109 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (+ n f)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (+ f n)) (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (* (cbrt (+ n f)) (cbrt (+ n f))) 1))) (cbrt (/ (cbrt (+ f n)) (- f n)))))) * * * * [misc]progress: [ 110 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ f n)) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (sqrt (+ f n)) (cbrt (- f n))))))) * * * * [misc]progress: [ 111 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ f n)) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (sqrt (+ n f)) (sqrt (- f n))))) (cbrt (/ (sqrt (+ f n)) (sqrt (- f n))))))) * * * * [misc]progress: [ 112 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ n f)) (- f n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ f n)) (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (sqrt (+ n f)) 1))) (cbrt (/ (sqrt (+ f n)) (- f n)))))) * * * * [misc]progress: [ 113 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (cbrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (cbrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (cbrt (/ (+ f n) (cbrt (- f n))))))) * * * * [misc]progress: [ 114 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (sqrt (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (sqrt (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ 1 (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n))))))) * * * * [misc]progress: [ 115 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ 1 1))) (cbrt (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 116 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt 1)) (cbrt (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 117 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (- 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 (cbrt (/ 1 (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (+ n f))) (cbrt (/ 1 (- f n)))))) * * * * [misc]progress: [ 118 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* f f) (+ (* n n) (* f n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (cbrt (+ (* f f) (* n (+ f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- (pow f 3) (pow n 3))))) (cbrt (+ (* f f) (* n (+ f n))))))) * * * * [misc]progress: [ 119 / 143 ] 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 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- (* f f) (* n n))))) (cbrt (+ n f))))) * * * * [misc]progress: [ 120 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (* (cbrt (cbrt (/ (+ n f) (- f n)))) (cbrt (cbrt (/ (+ n f) (- f n)))))) (cbrt (cbrt (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 121 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (+ f n) (- f n)))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (sqrt (cbrt (/ (+ n f) (- f n))))) (sqrt (cbrt (/ (+ f n) (- f n))))))) * * * * [misc]progress: [ 122 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) 1) (cbrt (/ (+ f n) (- f n)))))) * * * * [misc]progress: [ 123 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ f n) (- f n))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (cbrt (/ (+ f n) (- f n))) (* (cbrt (/ (+ n f) (- f n))) (cbrt (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 124 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (cbrt (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (cbrt (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (* (cbrt (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (cbrt (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))))) (* (cbrt (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 125 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (* (sqrt (cbrt (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (* (sqrt (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))) (cbrt (/ (+ n f) (- f n))))))) * * * * [misc]progress: [ 126 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- f n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- f n)) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (/ (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt (+ n f))) (cbrt (- f n))))) * * * * [misc]progress: [ 128 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ n f) (+ n f))) (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ f n) (- f n))) (cbrt (* (+ f n) (+ f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (* (+ f n) (+ f n)))) (cbrt (* (- f n) (- f n)))))) * * * * [misc]progress: [ 129 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (+ n f) (- f n)) (+ n f))) (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 130 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ n f) (/ (+ n f) (- f n)))) (cbrt (/ (+ n f) (- f n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) * [misc]simplify: Simplified (2 1 1) to (λ (f n) (- (/ (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (* (+ f n) (+ f n)) (- f n)))) (cbrt (- f n))))) * * * * [misc]progress: [ 131 / 143 ] simplifiying candidate # * * * * [misc]progress: [ 132 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) 1))) * * * * [misc]progress: [ 133 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt -1)))) * * * * [misc]progress: [ 134 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1 2) to (λ (f n) (- (* (cbrt (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))) (cbrt -1)))) * * * * [misc]progress: [ 135 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (cbrt 1) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 136 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (cbrt 1) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 137 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (f n) (- (* (cbrt 1) (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 138 / 143 ] 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) (- (* 1 (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 139 / 143 ] 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) (- (* 1 (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 140 / 143 ] 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) (- (* 1 (cbrt (/ (+ n f) (- f n)))))) * * * * [misc]progress: [ 141 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (f n) (- 1)) * * * * [misc]progress: [ 142 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (cbrt -1))) * * * * [misc]progress: [ 143 / 143 ] simplifiying candidate # * [enter]simplify: Simplifying (pow -1 1/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (cbrt -1) * [misc]simplify: Simplified (2 1) to (λ (f n) (- (cbrt -1))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (- (+ f n)) (- f n)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (- (/ (+ n f) (- f n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (/ (+ f n) (- f n))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs