0.763 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.328 * * * [progress]: [2/2] Setting up program. 0.332 * [progress]: [Phase 2 of 3] Improving. 0.334 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.335 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.338 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.339 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.340 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.341 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.342 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.344 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.345 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.346 * * [progress]: iteration 1 / 4 0.346 * * * [progress]: picking best candidate 0.348 * * * * [pick]: Picked # 0.348 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.420 * * * [progress]: generating series expansions 0.421 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.425 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.425 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.426 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.426 * [taylor]: Taking taylor expansion of -1 in n 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.426 * [taylor]: Taking taylor expansion of (+ n f) in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of f in n 0.426 * [backup-simplify]: Simplify f into f 0.427 * [taylor]: Taking taylor expansion of (- f n) in n 0.427 * [taylor]: Taking taylor expansion of f in n 0.427 * [backup-simplify]: Simplify f into f 0.427 * [taylor]: Taking taylor expansion of n in n 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (+ 0 f) into f 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ f 0) into f 0.428 * [backup-simplify]: Simplify (/ f f) into 1 0.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.428 * [taylor]: Taking taylor expansion of -1 in f 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.428 * [taylor]: Taking taylor expansion of (+ n f) in f 0.428 * [taylor]: Taking taylor expansion of n in f 0.428 * [backup-simplify]: Simplify n into n 0.428 * [taylor]: Taking taylor expansion of f in f 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of (- f n) in f 0.428 * [taylor]: Taking taylor expansion of f in f 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of n in f 0.428 * [backup-simplify]: Simplify n into n 0.428 * [backup-simplify]: Simplify (+ n 0) into n 0.428 * [backup-simplify]: Simplify (- n) into (- n) 0.428 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.428 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.428 * [taylor]: Taking taylor expansion of -1 in f 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.428 * [taylor]: Taking taylor expansion of (+ n f) in f 0.428 * [taylor]: Taking taylor expansion of n in f 0.428 * [backup-simplify]: Simplify n into n 0.428 * [taylor]: Taking taylor expansion of f in f 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of (- f n) in f 0.428 * [taylor]: Taking taylor expansion of f in f 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of n in f 0.428 * [backup-simplify]: Simplify n into n 0.428 * [backup-simplify]: Simplify (+ n 0) into n 0.428 * [backup-simplify]: Simplify (- n) into (- n) 0.428 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.428 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.429 * [backup-simplify]: Simplify (* -1 -1) into 1 0.429 * [taylor]: Taking taylor expansion of 1 in n 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.431 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.431 * [taylor]: Taking taylor expansion of 2 in n 0.431 * [backup-simplify]: Simplify 2 into 2 0.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.434 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.434 * [taylor]: Taking taylor expansion of 2 in n 0.434 * [backup-simplify]: Simplify 2 into 2 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.434 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.434 * [taylor]: Taking taylor expansion of n in n 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.441 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.441 * [taylor]: Taking taylor expansion of 2 in n 0.441 * [backup-simplify]: Simplify 2 into 2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.441 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.447 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.447 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.447 * [taylor]: Taking taylor expansion of -1 in n 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.447 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.447 * [taylor]: Taking taylor expansion of f in n 0.447 * [backup-simplify]: Simplify f into f 0.447 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.448 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.448 * [taylor]: Taking taylor expansion of f in n 0.448 * [backup-simplify]: Simplify f into f 0.448 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.448 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [backup-simplify]: Simplify (+ 0 1) into 1 0.448 * [backup-simplify]: Simplify (- 1) into -1 0.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.449 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.449 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.449 * [taylor]: Taking taylor expansion of -1 in f 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.449 * [taylor]: Taking taylor expansion of f in f 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.449 * [taylor]: Taking taylor expansion of n in f 0.449 * [backup-simplify]: Simplify n into n 0.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.449 * [taylor]: Taking taylor expansion of f in f 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.450 * [taylor]: Taking taylor expansion of n in f 0.450 * [backup-simplify]: Simplify n into n 0.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (+ 1 0) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.451 * [taylor]: Taking taylor expansion of -1 in f 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.451 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.451 * [taylor]: Taking taylor expansion of f in f 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.451 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.451 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.451 * [taylor]: Taking taylor expansion of f in f 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.451 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (* -1 1) into -1 0.452 * [taylor]: Taking taylor expansion of -1 in n 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [backup-simplify]: Simplify -1 into -1 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.454 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.454 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.454 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.454 * [taylor]: Taking taylor expansion of 2 in n 0.454 * [backup-simplify]: Simplify 2 into 2 0.454 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.458 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.458 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.458 * [taylor]: Taking taylor expansion of 2 in n 0.458 * [backup-simplify]: Simplify 2 into 2 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.458 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.466 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.466 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.466 * [taylor]: Taking taylor expansion of 2 in n 0.466 * [backup-simplify]: Simplify 2 into 2 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.466 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.472 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.472 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.473 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.473 * [taylor]: Taking taylor expansion of f in n 0.473 * [backup-simplify]: Simplify f into f 0.473 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.473 * [taylor]: Taking taylor expansion of f in n 0.473 * [backup-simplify]: Simplify f into f 0.473 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.474 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.474 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.474 * [taylor]: Taking taylor expansion of f in f 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.474 * [taylor]: Taking taylor expansion of n in f 0.474 * [backup-simplify]: Simplify n into n 0.474 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.475 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.475 * [taylor]: Taking taylor expansion of n in f 0.475 * [backup-simplify]: Simplify n into n 0.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.475 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.475 * [taylor]: Taking taylor expansion of f in f 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (- 1) into -1 0.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.476 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.476 * [taylor]: Taking taylor expansion of f in f 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.476 * [taylor]: Taking taylor expansion of n in f 0.476 * [backup-simplify]: Simplify n into n 0.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.476 * [taylor]: Taking taylor expansion of n in f 0.476 * [backup-simplify]: Simplify n into n 0.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.476 * [taylor]: Taking taylor expansion of f in f 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.478 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.478 * [taylor]: Taking taylor expansion of -1 in n 0.478 * [backup-simplify]: Simplify -1 into -1 0.478 * [backup-simplify]: Simplify -1 into -1 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.479 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.479 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.480 * [taylor]: Taking taylor expansion of 2 in n 0.480 * [backup-simplify]: Simplify 2 into 2 0.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.488 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.488 * [taylor]: Taking taylor expansion of 2 in n 0.488 * [backup-simplify]: Simplify 2 into 2 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.488 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.488 * [taylor]: Taking taylor expansion of n in n 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.496 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.496 * [taylor]: Taking taylor expansion of 2 in n 0.496 * [backup-simplify]: Simplify 2 into 2 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.496 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify -1 into -1 0.502 * * * [progress]: simplifying candidates 0.504 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.505 * [simplify]: Sending expressions to egg_math: (- (log (- (+ h1 h0))) (log (- h1 h0))) (log (/ (- (+ h1 h0)) (- h1 h0))) (exp (/ (- (+ h1 h0)) (- h1 h0))) (/ (* (* (- (+ h1 h0)) (- (+ h1 h0))) (- (+ h1 h0))) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (cbrt (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (/ (- (+ h1 h0)) (- h1 h0))) (* (* (/ (- (+ h1 h0)) (- h1 h0)) (/ (- (+ h1 h0)) (- h1 h0))) (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (sqrt (/ (- (+ h1 h0)) (- h1 h0))) (- (- (+ h1 h0))) (- (- h1 h0)) (/ 0 (- h1 h0)) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (- (+ h1 h0))) (cbrt (- (+ h1 h0)))) 1) (/ (cbrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (- (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ (sqrt (- (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (- (+ h1 h0))) 1) (/ (sqrt (- (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ -1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ -1 (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ -1 (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ -1 1) (/ (+ h1 h0) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (cbrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (- h1 h0))) (/ (cbrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (+ (sqrt h1) (sqrt h0))) (/ (cbrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 1) (/ (cbrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (sqrt (+ h1 h0)) (cbrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- (sqrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) 1) (/ (sqrt (+ h1 h0)) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (+ h1 h0) (cbrt (- h1 h0))) (/ (- 1) (sqrt (- h1 h0))) (/ (+ h1 h0) (sqrt (- h1 h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (- 1) (+ (sqrt h1) (sqrt h0))) (/ (+ h1 h0) (- (sqrt h1) (sqrt h0))) (/ (- 1) 1) (/ (+ h1 h0) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (cbrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (- (cbrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (+ (sqrt h1) (sqrt h0))) (/ (- (cbrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) 1) (/ (- (cbrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (sqrt (+ h1 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (sqrt (+ h1 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ (sqrt (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ h1 h0)) 1) (/ (- (sqrt (+ h1 h0))) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (cbrt (- h1 h0))) (/ 1 (sqrt (- h1 h0))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) (- (sqrt h1) (sqrt h0))) (/ 1 1) (/ (- (+ h1 h0)) (- h1 h0)) (/ 1 (- h1 h0)) (/ (- h1 h0) (- (+ h1 h0))) (/ (+ h1 h0) (- h1 h0)) (/ (- (+ h1 h0)) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (/ (- (+ h1 h0)) (sqrt (- h1 h0))) (/ (- (+ h1 h0)) 1) (/ (- (+ h1 h0)) (+ (sqrt h1) (sqrt h0))) (/ (- (+ h1 h0)) 1) (/ (- h1 h0) (cbrt (- (+ h1 h0)))) (/ (- h1 h0) (sqrt (- (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (cbrt (+ h1 h0))) (/ (- h1 h0) (sqrt (+ h1 h0))) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (+ h1 h0)) (/ (- h1 h0) (- (cbrt (+ h1 h0)))) (/ (- h1 h0) (- (sqrt (+ h1 h0)))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- h1 h0) (- (+ h1 h0))) (/ (- (+ h1 h0)) (- (pow h1 3) (pow h0 3))) (/ (- (+ h1 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (- h1 h0)) 1 -1 -1 0.509 * * [simplify]: iteration 0 : 288 enodes (cost 764 ) 0.513 * * [simplify]: iteration 1 : 915 enodes (cost 748 ) 0.526 * * [simplify]: iteration 2 : 2934 enodes (cost 733 ) 0.562 * * [simplify]: iteration 3 : 5002 enodes (cost 733 ) 0.566 * * * [progress]: adding candidates to table 0.710 * * [progress]: iteration 2 / 4 0.710 * * * [progress]: picking best candidate 0.717 * * * * [pick]: Picked # 0.717 * * * [progress]: localizing error 0.723 * * * [progress]: generating rewritten candidates 0.723 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.745 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.778 * * * [progress]: generating series expansions 0.778 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.779 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 0.779 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.779 * [taylor]: Taking taylor expansion of -1 in n 0.779 * [backup-simplify]: Simplify -1 into -1 0.779 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.779 * [taylor]: Taking taylor expansion of (+ n f) in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of f in n 0.779 * [backup-simplify]: Simplify f into f 0.779 * [taylor]: Taking taylor expansion of (- f n) in n 0.779 * [taylor]: Taking taylor expansion of f in n 0.779 * [backup-simplify]: Simplify f into f 0.779 * [taylor]: Taking taylor expansion of n in n 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (+ 0 f) into f 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify (+ f 0) into f 0.779 * [backup-simplify]: Simplify (/ f f) into 1 0.779 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.779 * [taylor]: Taking taylor expansion of -1 in f 0.780 * [backup-simplify]: Simplify -1 into -1 0.780 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.780 * [taylor]: Taking taylor expansion of (+ n f) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [backup-simplify]: Simplify n into n 0.780 * [taylor]: Taking taylor expansion of f in f 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (- f n) in f 0.780 * [taylor]: Taking taylor expansion of f in f 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [backup-simplify]: Simplify n into n 0.780 * [backup-simplify]: Simplify (+ n 0) into n 0.780 * [backup-simplify]: Simplify (- n) into (- n) 0.780 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.780 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.780 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.780 * [taylor]: Taking taylor expansion of -1 in f 0.780 * [backup-simplify]: Simplify -1 into -1 0.780 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.780 * [taylor]: Taking taylor expansion of (+ n f) in f 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [backup-simplify]: Simplify n into n 0.780 * [taylor]: Taking taylor expansion of f in f 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (- f n) in f 0.780 * [taylor]: Taking taylor expansion of f in f 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of n in f 0.780 * [backup-simplify]: Simplify n into n 0.780 * [backup-simplify]: Simplify (+ n 0) into n 0.780 * [backup-simplify]: Simplify (- n) into (- n) 0.780 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.780 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.781 * [backup-simplify]: Simplify (* -1 -1) into 1 0.781 * [taylor]: Taking taylor expansion of 1 in n 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (+ 0 1) into 1 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.781 * [backup-simplify]: Simplify (+ 1 0) into 1 0.781 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.782 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.782 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.782 * [taylor]: Taking taylor expansion of 2 in n 0.782 * [backup-simplify]: Simplify 2 into 2 0.782 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.782 * [taylor]: Taking taylor expansion of n in n 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.784 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.784 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.784 * [taylor]: Taking taylor expansion of 2 in n 0.784 * [backup-simplify]: Simplify 2 into 2 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.784 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.784 * [taylor]: Taking taylor expansion of n in n 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 0.790 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.790 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.790 * [taylor]: Taking taylor expansion of 2 in n 0.790 * [backup-simplify]: Simplify 2 into 2 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.790 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.790 * [taylor]: Taking taylor expansion of n in n 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.796 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.796 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.796 * [taylor]: Taking taylor expansion of -1 in n 0.796 * [backup-simplify]: Simplify -1 into -1 0.796 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.796 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.796 * [taylor]: Taking taylor expansion of f in n 0.796 * [backup-simplify]: Simplify f into f 0.796 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.796 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.796 * [taylor]: Taking taylor expansion of f in n 0.796 * [backup-simplify]: Simplify f into f 0.796 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (+ 0 1) into 1 0.797 * [backup-simplify]: Simplify (- 1) into -1 0.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.798 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.798 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.798 * [taylor]: Taking taylor expansion of -1 in f 0.798 * [backup-simplify]: Simplify -1 into -1 0.798 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.798 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.798 * [taylor]: Taking taylor expansion of f in f 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.798 * [taylor]: Taking taylor expansion of n in f 0.798 * [backup-simplify]: Simplify n into n 0.798 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.798 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.798 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.798 * [taylor]: Taking taylor expansion of f in f 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.798 * [taylor]: Taking taylor expansion of n in f 0.798 * [backup-simplify]: Simplify n into n 0.798 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.799 * [taylor]: Taking taylor expansion of -1 in f 0.799 * [backup-simplify]: Simplify -1 into -1 0.799 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.799 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.799 * [taylor]: Taking taylor expansion of f in f 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.800 * [taylor]: Taking taylor expansion of n in f 0.800 * [backup-simplify]: Simplify n into n 0.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.800 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.800 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.800 * [taylor]: Taking taylor expansion of f in f 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.800 * [taylor]: Taking taylor expansion of n in f 0.800 * [backup-simplify]: Simplify n into n 0.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.800 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [backup-simplify]: Simplify (* -1 1) into -1 0.801 * [taylor]: Taking taylor expansion of -1 in n 0.801 * [backup-simplify]: Simplify -1 into -1 0.801 * [backup-simplify]: Simplify -1 into -1 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.802 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.802 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.803 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.803 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.803 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.803 * [taylor]: Taking taylor expansion of 2 in n 0.803 * [backup-simplify]: Simplify 2 into 2 0.803 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.803 * [taylor]: Taking taylor expansion of n in n 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.806 * [backup-simplify]: Simplify (- 0) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.807 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.807 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.807 * [taylor]: Taking taylor expansion of 2 in n 0.807 * [backup-simplify]: Simplify 2 into 2 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.807 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (- 0) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.814 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.815 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.815 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.815 * [taylor]: Taking taylor expansion of 2 in n 0.815 * [backup-simplify]: Simplify 2 into 2 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.815 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.815 * [taylor]: Taking taylor expansion of n in n 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (/ 1 1) into 1 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- 0) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify -1 into -1 0.821 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.821 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.821 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.821 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.821 * [taylor]: Taking taylor expansion of f in n 0.821 * [backup-simplify]: Simplify f into f 0.821 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.821 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.821 * [taylor]: Taking taylor expansion of n in n 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.822 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.822 * [taylor]: Taking taylor expansion of n in n 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.822 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.822 * [taylor]: Taking taylor expansion of f in n 0.822 * [backup-simplify]: Simplify f into f 0.822 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.822 * [backup-simplify]: Simplify (+ 0 1) into 1 0.823 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.823 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.823 * [taylor]: Taking taylor expansion of f in f 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.823 * [taylor]: Taking taylor expansion of n in f 0.823 * [backup-simplify]: Simplify n into n 0.823 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.823 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.823 * [taylor]: Taking taylor expansion of n in f 0.823 * [backup-simplify]: Simplify n into n 0.823 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.823 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.823 * [taylor]: Taking taylor expansion of f in f 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [backup-simplify]: Simplify (+ 1 0) into 1 0.824 * [backup-simplify]: Simplify (- 1) into -1 0.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.825 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.825 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.825 * [taylor]: Taking taylor expansion of f in f 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.825 * [taylor]: Taking taylor expansion of n in f 0.825 * [backup-simplify]: Simplify n into n 0.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.825 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.825 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.825 * [taylor]: Taking taylor expansion of n in f 0.825 * [backup-simplify]: Simplify n into n 0.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.825 * [taylor]: Taking taylor expansion of f in f 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [backup-simplify]: Simplify (- 1) into -1 0.826 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.826 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.826 * [taylor]: Taking taylor expansion of -1 in n 0.826 * [backup-simplify]: Simplify -1 into -1 0.827 * [backup-simplify]: Simplify -1 into -1 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (- 0) into 0 0.828 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.828 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.828 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.828 * [taylor]: Taking taylor expansion of 2 in n 0.828 * [backup-simplify]: Simplify 2 into 2 0.828 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.828 * [taylor]: Taking taylor expansion of n in n 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (- 0) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (- 0) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.832 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.832 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.832 * [taylor]: Taking taylor expansion of 2 in n 0.832 * [backup-simplify]: Simplify 2 into 2 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.832 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.832 * [taylor]: Taking taylor expansion of n in n 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* 1 1) into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.840 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.840 * [taylor]: Taking taylor expansion of 2 in n 0.840 * [backup-simplify]: Simplify 2 into 2 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.840 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.840 * [taylor]: Taking taylor expansion of n in n 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify -1 into -1 0.846 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.846 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 0.846 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 0.846 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 0.846 * [taylor]: Taking taylor expansion of (- f n) in n 0.846 * [taylor]: Taking taylor expansion of f in n 0.846 * [backup-simplify]: Simplify f into f 0.846 * [taylor]: Taking taylor expansion of n in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (+ n f) in n 0.846 * [taylor]: Taking taylor expansion of n in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of f in n 0.846 * [backup-simplify]: Simplify f into f 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ f 0) into f 0.847 * [backup-simplify]: Simplify (+ 0 f) into f 0.847 * [backup-simplify]: Simplify (/ f f) into 1 0.847 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.847 * [taylor]: Taking taylor expansion of (- f n) in f 0.847 * [taylor]: Taking taylor expansion of f in f 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of n in f 0.847 * [backup-simplify]: Simplify n into n 0.847 * [taylor]: Taking taylor expansion of (+ n f) in f 0.847 * [taylor]: Taking taylor expansion of n in f 0.847 * [backup-simplify]: Simplify n into n 0.847 * [taylor]: Taking taylor expansion of f in f 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (- n) into (- n) 0.847 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.847 * [backup-simplify]: Simplify (+ n 0) into n 0.847 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.847 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 0.847 * [taylor]: Taking taylor expansion of (- f n) in f 0.847 * [taylor]: Taking taylor expansion of f in f 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of n in f 0.847 * [backup-simplify]: Simplify n into n 0.847 * [taylor]: Taking taylor expansion of (+ n f) in f 0.847 * [taylor]: Taking taylor expansion of n in f 0.847 * [backup-simplify]: Simplify n into n 0.847 * [taylor]: Taking taylor expansion of f in f 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (- n) into (- n) 0.847 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.847 * [backup-simplify]: Simplify (+ n 0) into n 0.847 * [backup-simplify]: Simplify (/ (- n) n) into -1 0.847 * [taylor]: Taking taylor expansion of -1 in n 0.847 * [backup-simplify]: Simplify -1 into -1 0.848 * [backup-simplify]: Simplify -1 into -1 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ 1 0) into 1 0.848 * [backup-simplify]: Simplify (+ 0 1) into 1 0.848 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 0.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.848 * [taylor]: Taking taylor expansion of 2 in n 0.848 * [backup-simplify]: Simplify 2 into 2 0.848 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.848 * [taylor]: Taking taylor expansion of n in n 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 0.851 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.851 * [taylor]: Taking taylor expansion of 2 in n 0.851 * [backup-simplify]: Simplify 2 into 2 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.851 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.854 * [backup-simplify]: Simplify (- 0) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (- 0) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 0.856 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.856 * [taylor]: Taking taylor expansion of 2 in n 0.856 * [backup-simplify]: Simplify 2 into 2 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.856 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify -1 into -1 0.862 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 0.862 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 0.862 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 0.862 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.862 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.862 * [taylor]: Taking taylor expansion of f in n 0.862 * [backup-simplify]: Simplify f into f 0.862 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.862 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.863 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.863 * [taylor]: Taking taylor expansion of f in n 0.863 * [backup-simplify]: Simplify f into f 0.863 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.863 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.863 * [taylor]: Taking taylor expansion of n in n 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [backup-simplify]: Simplify (- 1) into -1 0.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.864 * [backup-simplify]: Simplify (+ 0 1) into 1 0.864 * [backup-simplify]: Simplify (/ -1 1) into -1 0.864 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.864 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.864 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.864 * [taylor]: Taking taylor expansion of f in f 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.864 * [taylor]: Taking taylor expansion of n in f 0.864 * [backup-simplify]: Simplify n into n 0.864 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.864 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.864 * [taylor]: Taking taylor expansion of f in f 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.865 * [taylor]: Taking taylor expansion of n in f 0.865 * [backup-simplify]: Simplify n into n 0.865 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 0.866 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.866 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.866 * [taylor]: Taking taylor expansion of f in f 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.866 * [taylor]: Taking taylor expansion of n in f 0.866 * [backup-simplify]: Simplify n into n 0.866 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.866 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.866 * [taylor]: Taking taylor expansion of f in f 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.866 * [taylor]: Taking taylor expansion of n in f 0.866 * [backup-simplify]: Simplify n into n 0.866 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of 1 in n 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.870 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.871 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 0.871 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.871 * [taylor]: Taking taylor expansion of 2 in n 0.871 * [backup-simplify]: Simplify 2 into 2 0.871 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.873 * [backup-simplify]: Simplify (- 0) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 0.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.875 * [taylor]: Taking taylor expansion of 2 in n 0.875 * [backup-simplify]: Simplify 2 into 2 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.875 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.875 * [taylor]: Taking taylor expansion of n in n 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (* 1 1) into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.879 * [backup-simplify]: Simplify (- 0) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.880 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.882 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.882 * [taylor]: Taking taylor expansion of 2 in n 0.882 * [backup-simplify]: Simplify 2 into 2 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.882 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.882 * [taylor]: Taking taylor expansion of n in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 0.889 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 0.889 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 0.889 * [taylor]: Taking taylor expansion of -1 in n 0.889 * [backup-simplify]: Simplify -1 into -1 0.889 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 0.889 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.889 * [taylor]: Taking taylor expansion of n in n 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.889 * [taylor]: Taking taylor expansion of f in n 0.889 * [backup-simplify]: Simplify f into f 0.889 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.889 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.889 * [taylor]: Taking taylor expansion of f in n 0.889 * [backup-simplify]: Simplify f into f 0.889 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.889 * [taylor]: Taking taylor expansion of n in n 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [backup-simplify]: Simplify (+ 0 1) into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.890 * [taylor]: Taking taylor expansion of -1 in f 0.890 * [backup-simplify]: Simplify -1 into -1 0.890 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.890 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.890 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.890 * [taylor]: Taking taylor expansion of n in f 0.890 * [backup-simplify]: Simplify n into n 0.890 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.890 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.890 * [taylor]: Taking taylor expansion of f in f 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.891 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.891 * [taylor]: Taking taylor expansion of f in f 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.891 * [taylor]: Taking taylor expansion of n in f 0.891 * [backup-simplify]: Simplify n into n 0.891 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.891 * [backup-simplify]: Simplify (- 1) into -1 0.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.892 * [backup-simplify]: Simplify (+ 1 0) into 1 0.892 * [backup-simplify]: Simplify (/ -1 1) into -1 0.892 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 0.892 * [taylor]: Taking taylor expansion of -1 in f 0.892 * [backup-simplify]: Simplify -1 into -1 0.892 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 0.892 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.892 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.892 * [taylor]: Taking taylor expansion of n in f 0.892 * [backup-simplify]: Simplify n into n 0.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.892 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.892 * [taylor]: Taking taylor expansion of f in f 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.893 * [taylor]: Taking taylor expansion of f in f 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ 1 1) into 1 0.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.893 * [taylor]: Taking taylor expansion of n in f 0.893 * [backup-simplify]: Simplify n into n 0.893 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.893 * [backup-simplify]: Simplify (- 1) into -1 0.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.894 * [backup-simplify]: Simplify (+ 1 0) into 1 0.894 * [backup-simplify]: Simplify (/ -1 1) into -1 0.894 * [backup-simplify]: Simplify (* -1 -1) into 1 0.894 * [taylor]: Taking taylor expansion of 1 in n 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.895 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 0.896 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 0.896 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.896 * [taylor]: Taking taylor expansion of 2 in n 0.896 * [backup-simplify]: Simplify 2 into 2 0.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.897 * [backup-simplify]: Simplify (- 0) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.900 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.900 * [taylor]: Taking taylor expansion of 2 in n 0.900 * [backup-simplify]: Simplify 2 into 2 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.900 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.900 * [taylor]: Taking taylor expansion of n in n 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (* 1 1) into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 0.908 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.908 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.908 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.908 * [taylor]: Taking taylor expansion of 2 in n 0.908 * [backup-simplify]: Simplify 2 into 2 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.908 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.908 * [taylor]: Taking taylor expansion of n in n 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * * * [progress]: simplifying candidates 0.917 * [simplify]: Simplifying: (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt 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