0.741 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.313 * * * [progress]: [2/2] Setting up program. 0.316 * [progress]: [Phase 2 of 3] Improving. 0.318 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.319 * [simplify]: Sending expressions to egg_math: (/ (- (+ h1 h0)) (- h1 h0)) 0.322 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.323 * * [simplify]: iteration 1 : 16 enodes (cost 4 ) 0.324 * * [simplify]: iteration 2 : 20 enodes (cost 4 ) 0.326 * * [simplify]: iteration 3 : 26 enodes (cost 4 ) 0.327 * * [simplify]: iteration 4 : 31 enodes (cost 4 ) 0.328 * * [simplify]: iteration 5 : 33 enodes (cost 4 ) 0.329 * * [simplify]: iteration 6 : 33 enodes (cost 4 ) 0.331 * * [progress]: iteration 1 / 4 0.331 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.333 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.412 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.412 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.413 * [taylor]: Taking taylor expansion of -1 in n 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.413 * [taylor]: Taking taylor expansion of (+ n f) in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of (- f n) in n 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (+ 0 f) into f 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ f 0) into f 0.415 * [backup-simplify]: Simplify (/ f f) into 1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.416 * [backup-simplify]: Simplify (* -1 -1) into 1 0.416 * [taylor]: Taking taylor expansion of 1 in n 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.418 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.418 * [taylor]: Taking taylor expansion of 2 in n 0.418 * [backup-simplify]: Simplify 2 into 2 0.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.421 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.421 * [taylor]: Taking taylor expansion of 2 in n 0.421 * [backup-simplify]: Simplify 2 into 2 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.421 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [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)))) 0.427 * [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))) 0.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.427 * [taylor]: Taking taylor expansion of 2 in n 0.427 * [backup-simplify]: Simplify 2 into 2 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.427 * [taylor]: Taking taylor expansion of (pow n 3) in n 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 (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.433 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.433 * [taylor]: Taking taylor expansion of -1 in n 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.433 * [taylor]: Taking taylor expansion of f in n 0.433 * [backup-simplify]: Simplify f into f 0.433 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.434 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.434 * [taylor]: Taking taylor expansion of f in n 0.434 * [backup-simplify]: Simplify f into f 0.434 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.434 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ 0 1) into 1 0.435 * [backup-simplify]: Simplify (- 1) into -1 0.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.435 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.435 * [taylor]: Taking taylor expansion of -1 in f 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.435 * [taylor]: Taking taylor expansion of f in f 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.436 * [taylor]: Taking taylor expansion of n in f 0.436 * [backup-simplify]: Simplify n into n 0.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.436 * [taylor]: Taking taylor expansion of f in f 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.436 * [taylor]: Taking taylor expansion of n in f 0.436 * [backup-simplify]: Simplify n into n 0.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.437 * [taylor]: Taking taylor expansion of -1 in f 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.437 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.437 * [taylor]: Taking taylor expansion of f in f 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.437 * [taylor]: Taking taylor expansion of n in f 0.437 * [backup-simplify]: Simplify n into n 0.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.437 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.437 * [taylor]: Taking taylor expansion of f in f 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.438 * [taylor]: Taking taylor expansion of n in f 0.438 * [backup-simplify]: Simplify n into n 0.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (* -1 1) into -1 0.439 * [taylor]: Taking taylor expansion of -1 in n 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.440 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.440 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.440 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.440 * [taylor]: Taking taylor expansion of 2 in n 0.440 * [backup-simplify]: Simplify 2 into 2 0.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.445 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.445 * [taylor]: Taking taylor expansion of 2 in n 0.445 * [backup-simplify]: Simplify 2 into 2 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.445 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [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))) 0.454 * [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)))) 0.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n 0.454 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.460 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.460 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.460 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.460 * [taylor]: Taking taylor expansion of f in n 0.460 * [backup-simplify]: Simplify f into f 0.460 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.461 * [taylor]: Taking taylor expansion of f in n 0.461 * [backup-simplify]: Simplify f into f 0.461 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.461 * [backup-simplify]: Simplify (+ 0 1) into 1 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.461 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.461 * [taylor]: Taking taylor expansion of f in f 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.462 * [taylor]: Taking taylor expansion of n in f 0.462 * [backup-simplify]: Simplify n into n 0.462 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.462 * [taylor]: Taking taylor expansion of n in f 0.462 * [backup-simplify]: Simplify n into n 0.462 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.462 * [taylor]: Taking taylor expansion of f in f 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.463 * [backup-simplify]: Simplify (- 1) into -1 0.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.463 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.463 * [taylor]: Taking taylor expansion of f in f 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.463 * [taylor]: Taking taylor expansion of n in f 0.463 * [backup-simplify]: Simplify n into n 0.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.464 * [taylor]: Taking taylor expansion of n in f 0.464 * [backup-simplify]: Simplify n into n 0.464 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.464 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.464 * [taylor]: Taking taylor expansion of f in f 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.465 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.465 * [taylor]: Taking taylor expansion of -1 in n 0.465 * [backup-simplify]: Simplify -1 into -1 0.465 * [backup-simplify]: Simplify -1 into -1 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.466 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.466 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) 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 n) 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 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.475 * [taylor]: Taking taylor expansion of 2 in n 0.475 * [backup-simplify]: Simplify 2 into 2 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.475 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.475 * [taylor]: Taking taylor expansion of n in n 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 1) into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [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)))) 0.482 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.482 * [taylor]: Taking taylor expansion of 2 in n 0.482 * [backup-simplify]: Simplify 2 into 2 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.482 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.482 * [taylor]: Taking taylor expansion of n in n 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify -1 into -1 0.488 * * * [progress]: simplifying candidates 0.490 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (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 0.490 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (log1p (/ (- (+ h1 h0)) (- h1 h0))) (- (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 0.495 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 0.499 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 0.513 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 0.550 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 0.554 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.706 * * * * [pick]: Picked # 0.706 * * * [progress]: localizing error 0.716 * * * [progress]: generating rewritten candidates 0.716 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.717 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.749 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.754 * * * [progress]: generating series expansions 0.754 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.754 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 0.754 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 0.754 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.756 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.756 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.756 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.756 * [taylor]: Taking taylor expansion of -1 in n 0.756 * [backup-simplify]: Simplify -1 into -1 0.756 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.756 * [taylor]: Taking taylor expansion of (+ n f) in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [taylor]: Taking taylor expansion of f in n 0.756 * [backup-simplify]: Simplify f into f 0.756 * [taylor]: Taking taylor expansion of (- f n) in n 0.756 * [taylor]: Taking taylor expansion of f in n 0.756 * [backup-simplify]: Simplify f into f 0.756 * [taylor]: Taking taylor expansion of n in n 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (+ 0 f) into f 0.756 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify (+ f 0) into f 0.756 * [backup-simplify]: Simplify (/ f f) into 1 0.757 * [backup-simplify]: Simplify (* -1 1) into -1 0.757 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.757 * [taylor]: Taking taylor expansion of 1 in n 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.757 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.757 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.757 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.757 * [taylor]: Taking taylor expansion of -1 in f 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.757 * [taylor]: Taking taylor expansion of (+ n f) in f 0.757 * [taylor]: Taking taylor expansion of n in f 0.757 * [backup-simplify]: Simplify n into n 0.757 * [taylor]: Taking taylor expansion of f in f 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of (- f n) in f 0.757 * [taylor]: Taking taylor expansion of f in f 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [taylor]: Taking taylor expansion of n in f 0.757 * [backup-simplify]: Simplify n into n 0.757 * [backup-simplify]: Simplify (+ n 0) into n 0.758 * [backup-simplify]: Simplify (- n) into (- n) 0.758 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.758 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.758 * [backup-simplify]: Simplify (* -1 -1) into 1 0.758 * [backup-simplify]: Simplify (exp 1) into E 0.758 * [taylor]: Taking taylor expansion of 1 in f 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.758 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.758 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.758 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.758 * [taylor]: Taking taylor expansion of -1 in f 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.758 * [taylor]: Taking taylor expansion of (+ n f) in f 0.758 * [taylor]: Taking taylor expansion of n in f 0.758 * [backup-simplify]: Simplify n into n 0.758 * [taylor]: Taking taylor expansion of f in f 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (- f n) in f 0.758 * [taylor]: Taking taylor expansion of f in f 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of n in f 0.758 * [backup-simplify]: Simplify n into n 0.758 * [backup-simplify]: Simplify (+ n 0) into n 0.758 * [backup-simplify]: Simplify (- n) into (- n) 0.758 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.758 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.759 * [backup-simplify]: Simplify (* -1 -1) into 1 0.759 * [backup-simplify]: Simplify (exp 1) into E 0.759 * [taylor]: Taking taylor expansion of 1 in f 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (- 1) into -1 0.759 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.759 * [taylor]: Taking taylor expansion of (- E 1) in n 0.759 * [taylor]: Taking taylor expansion of E in n 0.759 * [backup-simplify]: Simplify E into E 0.759 * [taylor]: Taking taylor expansion of 1 in n 0.759 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (- 1) into -1 0.760 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.760 * [backup-simplify]: Simplify (- E 1) into (- E 1) 0.761 * [backup-simplify]: Simplify (+ 0 1) into 1 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.762 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.762 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 0.763 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 0.763 * [taylor]: Taking taylor expansion of 2 in n 0.763 * [backup-simplify]: Simplify 2 into 2 0.763 * [taylor]: Taking taylor expansion of (/ E n) in n 0.763 * [taylor]: Taking taylor expansion of E in n 0.763 * [backup-simplify]: Simplify E into E 0.763 * [taylor]: Taking taylor expansion of n in n 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (/ E 1) into E 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.766 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.766 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.767 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 0.767 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 0.767 * [taylor]: Taking taylor expansion of 4 in n 0.767 * [backup-simplify]: Simplify 4 into 4 0.767 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 0.767 * [taylor]: Taking taylor expansion of E in n 0.767 * [backup-simplify]: Simplify E into E 0.767 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.767 * [taylor]: Taking taylor expansion of n in n 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ E 1) into E 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (- 0) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [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)))) 0.777 * [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))) 0.778 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 0.778 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 0.778 * [taylor]: Taking taylor expansion of 22/3 in n 0.778 * [backup-simplify]: Simplify 22/3 into 22/3 0.778 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 0.779 * [taylor]: Taking taylor expansion of E in n 0.779 * [backup-simplify]: Simplify E into E 0.779 * [taylor]: Taking taylor expansion of (pow n 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ E 1) into E 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (- E 1) into (- E 1) 0.785 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 0.785 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 0.785 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.785 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.785 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.785 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.785 * [taylor]: Taking taylor expansion of -1 in n 0.785 * [backup-simplify]: Simplify -1 into -1 0.785 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.785 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.785 * [taylor]: Taking taylor expansion of f in n 0.785 * [backup-simplify]: Simplify f into f 0.785 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.786 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.786 * [taylor]: Taking taylor expansion of f in n 0.786 * [backup-simplify]: Simplify f into f 0.786 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.786 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.786 * [taylor]: Taking taylor expansion of n in n 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ 0 1) into 1 0.787 * [backup-simplify]: Simplify (- 1) into -1 0.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.787 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.787 * [backup-simplify]: Simplify (* -1 -1) into 1 0.787 * [backup-simplify]: Simplify (exp 1) into E 0.787 * [taylor]: Taking taylor expansion of 1 in n 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.787 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.787 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.787 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.787 * [taylor]: Taking taylor expansion of -1 in f 0.787 * [backup-simplify]: Simplify -1 into -1 0.787 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.788 * [taylor]: Taking taylor expansion of f in f 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.788 * [taylor]: Taking taylor expansion of n in f 0.788 * [backup-simplify]: Simplify n into n 0.788 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.788 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.788 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.788 * [taylor]: Taking taylor expansion of f in f 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.788 * [taylor]: Taking taylor expansion of n in f 0.788 * [backup-simplify]: Simplify n into n 0.788 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.789 * [backup-simplify]: Simplify (+ 1 0) into 1 0.789 * [backup-simplify]: Simplify (+ 1 0) into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [backup-simplify]: Simplify (* -1 1) into -1 0.789 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.789 * [taylor]: Taking taylor expansion of 1 in f 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.790 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.790 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.790 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.790 * [taylor]: Taking taylor expansion of -1 in f 0.790 * [backup-simplify]: Simplify -1 into -1 0.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.790 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.790 * [backup-simplify]: Simplify n into n 0.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.790 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.790 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.790 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.790 * [taylor]: Taking taylor expansion of n in f 0.790 * [backup-simplify]: Simplify n into n 0.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.791 * [backup-simplify]: Simplify (+ 1 0) into 1 0.791 * [backup-simplify]: Simplify (+ 1 0) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (* -1 1) into -1 0.792 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.792 * [taylor]: Taking taylor expansion of 1 in f 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (- 1) into -1 0.792 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.792 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.792 * [taylor]: Taking taylor expansion of (exp -1) in n 0.792 * [taylor]: Taking taylor expansion of -1 in n 0.793 * [backup-simplify]: Simplify -1 into -1 0.793 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.793 * [taylor]: Taking taylor expansion of 1 in n 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (- 1) into -1 0.793 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.794 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.795 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.795 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.795 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.796 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.797 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.797 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.797 * [taylor]: Taking taylor expansion of 2 in n 0.797 * [backup-simplify]: Simplify 2 into 2 0.797 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.797 * [taylor]: Taking taylor expansion of (exp -1) in n 0.797 * [taylor]: Taking taylor expansion of -1 in n 0.797 * [backup-simplify]: Simplify -1 into -1 0.797 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.797 * [taylor]: Taking taylor expansion of n in n 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.798 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.803 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.804 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [taylor]: Taking taylor expansion of 0 in n 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 0.807 * [backup-simplify]: Simplify (- 0) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.808 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [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))) 0.812 * [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)))) 0.813 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.813 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.813 * [taylor]: Taking taylor expansion of 2/3 in n 0.813 * [backup-simplify]: Simplify 2/3 into 2/3 0.813 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.813 * [taylor]: Taking taylor expansion of (exp -1) in n 0.814 * [taylor]: Taking taylor expansion of -1 in n 0.814 * [backup-simplify]: Simplify -1 into -1 0.814 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.814 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.814 * [taylor]: Taking taylor expansion of n in n 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.815 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.816 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.816 * [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 (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.823 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 0.823 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 0.823 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.823 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.823 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 0.823 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.824 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.824 * [taylor]: Taking taylor expansion of f in n 0.824 * [backup-simplify]: Simplify f into f 0.824 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.824 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.824 * [taylor]: Taking taylor expansion of f in n 0.824 * [backup-simplify]: Simplify f into f 0.824 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.825 * [backup-simplify]: Simplify (+ 0 1) into 1 0.825 * [backup-simplify]: Simplify (+ 1 0) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (exp 1) into E 0.825 * [taylor]: Taking taylor expansion of 1 in n 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.825 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.825 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 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 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.826 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.826 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.826 * [taylor]: Taking taylor expansion of n in f 0.826 * [backup-simplify]: Simplify n into n 0.826 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.826 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.826 * [taylor]: Taking taylor expansion of f in f 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.827 * [backup-simplify]: Simplify (- 1) into -1 0.827 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.827 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.827 * [taylor]: Taking taylor expansion of 1 in f 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.827 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 0.827 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 0.827 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.827 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.827 * [taylor]: Taking taylor expansion of f in f 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.828 * [taylor]: Taking taylor expansion of n in f 0.828 * [backup-simplify]: Simplify n into n 0.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.828 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.828 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.828 * [taylor]: Taking taylor expansion of n in f 0.828 * [backup-simplify]: Simplify n into n 0.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.828 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.828 * [taylor]: Taking taylor expansion of f in f 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 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (- 1) into -1 0.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.829 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.829 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.829 * [taylor]: Taking taylor expansion of 1 in f 0.829 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (- 1) into -1 0.830 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.830 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 0.830 * [taylor]: Taking taylor expansion of (exp -1) in n 0.830 * [taylor]: Taking taylor expansion of -1 in n 0.830 * [backup-simplify]: Simplify -1 into -1 0.830 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.831 * [taylor]: Taking taylor expansion of 1 in n 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (- 1) into -1 0.831 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.832 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.833 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.833 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.834 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 0.834 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 0.834 * [taylor]: Taking taylor expansion of 2 in n 0.834 * [backup-simplify]: Simplify 2 into 2 0.834 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 0.834 * [taylor]: Taking taylor expansion of (exp -1) in n 0.834 * [taylor]: Taking taylor expansion of -1 in n 0.834 * [backup-simplify]: Simplify -1 into -1 0.834 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.834 * [taylor]: Taking taylor expansion of n in n 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.835 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.841 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [taylor]: Taking taylor expansion of 0 in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [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)))) 0.849 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.849 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 0.849 * [taylor]: Taking taylor expansion of 2/3 in n 0.849 * [backup-simplify]: Simplify 2/3 into 2/3 0.849 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 0.849 * [taylor]: Taking taylor expansion of (exp -1) in n 0.849 * [taylor]: Taking taylor expansion of -1 in n 0.849 * [backup-simplify]: Simplify -1 into -1 0.850 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.850 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.851 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 0.852 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 0.859 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.859 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.859 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.859 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.859 * [taylor]: Taking taylor expansion of -1 in n 0.859 * [backup-simplify]: Simplify -1 into -1 0.859 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.859 * [taylor]: Taking taylor expansion of (+ n f) in n 0.859 * [taylor]: Taking taylor expansion of n in n 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [taylor]: Taking taylor expansion of f in n 0.859 * [backup-simplify]: Simplify f into f 0.859 * [taylor]: Taking taylor expansion of (- f n) in n 0.859 * [taylor]: Taking taylor expansion of f in n 0.859 * [backup-simplify]: Simplify f into f 0.859 * [taylor]: Taking taylor expansion of n in n 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (+ 0 f) into f 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [backup-simplify]: Simplify (+ f 0) into f 0.860 * [backup-simplify]: Simplify (/ f f) into 1 0.860 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.860 * [taylor]: Taking taylor expansion of -1 in f 0.860 * [backup-simplify]: Simplify -1 into -1 0.860 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.860 * [taylor]: Taking taylor expansion of (+ n f) in f 0.860 * [taylor]: Taking taylor expansion of n in f 0.860 * [backup-simplify]: Simplify n into n 0.860 * [taylor]: Taking taylor expansion of f in f 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [taylor]: Taking taylor expansion of (- f n) in f 0.860 * [taylor]: Taking taylor expansion of f in f 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [taylor]: Taking taylor expansion of n in f 0.860 * [backup-simplify]: Simplify n into n 0.860 * [backup-simplify]: Simplify (+ n 0) into n 0.860 * [backup-simplify]: Simplify (- n) into (- n) 0.860 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.860 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.860 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.860 * [taylor]: Taking taylor expansion of -1 in f 0.860 * [backup-simplify]: Simplify -1 into -1 0.860 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.860 * [taylor]: Taking taylor expansion of (+ n f) in f 0.860 * [taylor]: Taking taylor expansion of n in f 0.860 * [backup-simplify]: Simplify n into n 0.860 * [taylor]: Taking taylor expansion of f in f 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [taylor]: Taking taylor expansion of (- f n) in f 0.860 * [taylor]: Taking taylor expansion of f in f 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [taylor]: Taking taylor expansion of n in f 0.860 * [backup-simplify]: Simplify n into n 0.860 * [backup-simplify]: Simplify (+ n 0) into n 0.860 * [backup-simplify]: Simplify (- n) into (- n) 0.860 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.860 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.861 * [backup-simplify]: Simplify (* -1 -1) into 1 0.861 * [taylor]: Taking taylor expansion of 1 in n 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (+ 0 1) into 1 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.864 * [backup-simplify]: Simplify (+ 1 0) into 1 0.864 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.865 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.865 * [taylor]: Taking taylor expansion of 2 in n 0.865 * [backup-simplify]: Simplify 2 into 2 0.865 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.865 * [taylor]: Taking taylor expansion of n in n 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.867 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.867 * [taylor]: Taking taylor expansion of 2 in n 0.867 * [backup-simplify]: Simplify 2 into 2 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.867 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [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)))) 0.872 * [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))) 0.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.873 * [taylor]: Taking taylor expansion of 2 in n 0.873 * [backup-simplify]: Simplify 2 into 2 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.873 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.878 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.878 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.878 * [taylor]: Taking taylor expansion of -1 in n 0.878 * [backup-simplify]: Simplify -1 into -1 0.878 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.878 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.878 * [taylor]: Taking taylor expansion of f in n 0.878 * [backup-simplify]: Simplify f into f 0.878 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.878 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.878 * [taylor]: Taking taylor expansion of n in n 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.879 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.879 * [taylor]: Taking taylor expansion of f in n 0.879 * [backup-simplify]: Simplify f into f 0.879 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (+ 0 1) into 1 0.879 * [backup-simplify]: Simplify (- 1) into -1 0.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.880 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.880 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.880 * [taylor]: Taking taylor expansion of -1 in f 0.880 * [backup-simplify]: Simplify -1 into -1 0.880 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.880 * [taylor]: Taking taylor expansion of f in f 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.880 * [taylor]: Taking taylor expansion of n in f 0.880 * [backup-simplify]: Simplify n into n 0.880 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.880 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.880 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.880 * [taylor]: Taking taylor expansion of f in f 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.881 * [taylor]: Taking taylor expansion of n in f 0.881 * [backup-simplify]: Simplify n into n 0.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.881 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.882 * [taylor]: Taking taylor expansion of -1 in f 0.882 * [backup-simplify]: Simplify -1 into -1 0.882 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.882 * [taylor]: Taking taylor expansion of f in f 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.882 * [taylor]: Taking taylor expansion of n in f 0.882 * [backup-simplify]: Simplify n into n 0.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.882 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.882 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.882 * [taylor]: Taking taylor expansion of f in f 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.882 * [taylor]: Taking taylor expansion of n in f 0.882 * [backup-simplify]: Simplify n into n 0.882 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.883 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (* -1 1) into -1 0.883 * [taylor]: Taking taylor expansion of -1 in n 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [backup-simplify]: Simplify -1 into -1 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.884 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.885 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.885 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.885 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.885 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.885 * [taylor]: Taking taylor expansion of 2 in n 0.885 * [backup-simplify]: Simplify 2 into 2 0.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.885 * [taylor]: Taking taylor expansion of n in n 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.886 * [backup-simplify]: Simplify (- 0) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.889 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.889 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.889 * [taylor]: Taking taylor expansion of 2 in n 0.889 * [backup-simplify]: Simplify 2 into 2 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.889 * [taylor]: Taking taylor expansion of (pow n 2) 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 0.890 * [backup-simplify]: Simplify (* 1 1) into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- 0) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.896 * [backup-simplify]: Simplify (- 0) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [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))) 0.897 * [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)))) 0.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.897 * [taylor]: Taking taylor expansion of 2 in n 0.897 * [backup-simplify]: Simplify 2 into 2 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.897 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.897 * [taylor]: Taking taylor expansion of n in n 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (* 1 1) into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify -1 into -1 0.903 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.903 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.904 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [backup-simplify]: Simplify f into f 0.904 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.904 * [taylor]: Taking taylor expansion of f in n 0.904 * [backup-simplify]: Simplify f into f 0.904 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.905 * [backup-simplify]: Simplify (+ 0 1) into 1 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.905 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.905 * [taylor]: Taking taylor expansion of f in f 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.905 * [taylor]: Taking taylor expansion of n in f 0.905 * [backup-simplify]: Simplify n into n 0.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.905 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.906 * [taylor]: Taking taylor expansion of n in f 0.906 * [backup-simplify]: Simplify n into n 0.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.906 * [taylor]: Taking taylor expansion of f in f 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (+ 1 0) into 1 0.906 * [backup-simplify]: Simplify (- 1) into -1 0.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.907 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.907 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.907 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.907 * [taylor]: Taking taylor expansion of f in f 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.907 * [taylor]: Taking taylor expansion of n in f 0.907 * [backup-simplify]: Simplify n into n 0.907 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.907 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.907 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.907 * [taylor]: Taking taylor expansion of n in f 0.907 * [backup-simplify]: Simplify n into n 0.907 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.907 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.907 * [taylor]: Taking taylor expansion of f in f 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (- 1) into -1 0.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.909 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.909 * [taylor]: Taking taylor expansion of -1 in n 0.909 * [backup-simplify]: Simplify -1 into -1 0.909 * [backup-simplify]: Simplify -1 into -1 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.910 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.910 * [backup-simplify]: Simplify 2 into 2 0.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.910 * [taylor]: Taking taylor expansion of n in n 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.914 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.914 * [taylor]: Taking taylor expansion of 2 in n 0.914 * [backup-simplify]: Simplify 2 into 2 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.914 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.914 * [taylor]: Taking taylor expansion of n in n 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.918 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- 0) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [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)))) 0.921 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.921 * [taylor]: Taking taylor expansion of 2 in n 0.921 * [backup-simplify]: Simplify 2 into 2 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.921 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.921 * [taylor]: Taking taylor expansion of n in n 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify -1 into -1 0.927 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.928 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 0.928 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 0.928 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.928 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.928 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 0.928 * [taylor]: Taking taylor expansion of 1 in n 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 0.928 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.928 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 0.928 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.928 * [taylor]: Taking taylor expansion of -1 in n 0.928 * [backup-simplify]: Simplify -1 into -1 0.928 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.928 * [taylor]: Taking taylor expansion of (+ n f) in n 0.928 * [taylor]: Taking taylor expansion of n in n 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of f in n 0.928 * [backup-simplify]: Simplify f into f 0.928 * [taylor]: Taking taylor expansion of (- f n) in n 0.928 * [taylor]: Taking taylor expansion of f in n 0.928 * [backup-simplify]: Simplify f into f 0.928 * [taylor]: Taking taylor expansion of n in n 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (+ 0 f) into f 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify (+ f 0) into f 0.929 * [backup-simplify]: Simplify (/ f f) into 1 0.929 * [backup-simplify]: Simplify (* -1 1) into -1 0.929 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.929 * [taylor]: Taking taylor expansion of 1 in n 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (- 1) into -1 0.930 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.931 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.931 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.931 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.931 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.932 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.932 * [taylor]: Taking taylor expansion of 1 in f 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.932 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.932 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.932 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.932 * [taylor]: Taking taylor expansion of -1 in f 0.932 * [backup-simplify]: Simplify -1 into -1 0.932 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.932 * [taylor]: Taking taylor expansion of (+ n f) in f 0.932 * [taylor]: Taking taylor expansion of n in f 0.932 * [backup-simplify]: Simplify n into n 0.932 * [taylor]: Taking taylor expansion of f in f 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of (- f n) in f 0.932 * [taylor]: Taking taylor expansion of f in f 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of n in f 0.932 * [backup-simplify]: Simplify n into n 0.932 * [backup-simplify]: Simplify (+ n 0) into n 0.932 * [backup-simplify]: Simplify (- n) into (- n) 0.932 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.932 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.932 * [backup-simplify]: Simplify (* -1 -1) into 1 0.932 * [backup-simplify]: Simplify (exp 1) into E 0.932 * [taylor]: Taking taylor expansion of 1 in f 0.932 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (- 1) into -1 0.933 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.934 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.934 * [backup-simplify]: Simplify (log E) into 1 0.934 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.934 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 0.934 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 0.934 * [taylor]: Taking taylor expansion of 1 in f 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 0.934 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 0.934 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 0.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.934 * [taylor]: Taking taylor expansion of -1 in f 0.934 * [backup-simplify]: Simplify -1 into -1 0.934 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.934 * [taylor]: Taking taylor expansion of (+ n f) in f 0.934 * [taylor]: Taking taylor expansion of n in f 0.934 * [backup-simplify]: Simplify n into n 0.934 * [taylor]: Taking taylor expansion of f in f 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of (- f n) in f 0.934 * [taylor]: Taking taylor expansion of f in f 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [taylor]: Taking taylor expansion of n in f 0.934 * [backup-simplify]: Simplify n into n 0.934 * [backup-simplify]: Simplify (+ n 0) into n 0.934 * [backup-simplify]: Simplify (- n) into (- n) 0.934 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.934 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.935 * [backup-simplify]: Simplify (* -1 -1) into 1 0.935 * [backup-simplify]: Simplify (exp 1) into E 0.935 * [taylor]: Taking taylor expansion of 1 in f 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (- 1) into -1 0.935 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.936 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.936 * [backup-simplify]: Simplify (log E) into 1 0.936 * [taylor]: Taking taylor expansion of 1 in n 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (+ 0 1) into 1 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ 1 0) into 1 0.937 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.937 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.938 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 0.938 * [backup-simplify]: Simplify (- 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 0.938 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 0.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 0.939 * [taylor]: Taking taylor expansion of (/ 2 n) in n 0.939 * [taylor]: Taking taylor expansion of 2 in n 0.939 * [backup-simplify]: Simplify 2 into 2 0.939 * [taylor]: Taking taylor expansion of n in n 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ 2 1) into 2 0.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.942 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.942 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 0.942 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 0.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 0.944 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 0.944 * [taylor]: Taking taylor expansion of 2 in n 0.944 * [backup-simplify]: Simplify 2 into 2 0.944 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.944 * [taylor]: Taking taylor expansion of n in n 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (* 1 1) into 1 0.944 * [backup-simplify]: Simplify (/ 2 1) into 2 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [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)))) 0.948 * [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))) 0.949 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 0.949 * [backup-simplify]: Simplify (- 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 0.949 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 0.951 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 0.951 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 0.951 * [taylor]: Taking taylor expansion of 2 in n 0.951 * [backup-simplify]: Simplify 2 into 2 0.951 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.951 * [taylor]: Taking taylor expansion of n in n 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (/ 2 1) into 2 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 0.960 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 0.960 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.960 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.960 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 0.960 * [taylor]: Taking taylor expansion of 1 in n 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.960 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.960 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 0.960 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.960 * [taylor]: Taking taylor expansion of -1 in n 0.960 * [backup-simplify]: Simplify -1 into -1 0.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.960 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.960 * [taylor]: Taking taylor expansion of f in n 0.960 * [backup-simplify]: Simplify f into f 0.960 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.960 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.960 * [taylor]: Taking taylor expansion of n in n 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (/ 1 1) into 1 0.960 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.960 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.960 * [taylor]: Taking taylor expansion of f in n 0.960 * [backup-simplify]: Simplify f into f 0.961 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [backup-simplify]: Simplify (+ 0 1) into 1 0.961 * [backup-simplify]: Simplify (- 1) into -1 0.962 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.962 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.962 * [backup-simplify]: Simplify (* -1 -1) into 1 0.962 * [backup-simplify]: Simplify (exp 1) into E 0.962 * [taylor]: Taking taylor expansion of 1 in n 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (- 1) into -1 0.963 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 0.963 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 0.963 * [backup-simplify]: Simplify (log E) into 1 0.963 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.963 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.963 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.963 * [taylor]: Taking taylor expansion of 1 in f 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.964 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.964 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.964 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.964 * [taylor]: Taking taylor expansion of -1 in f 0.964 * [backup-simplify]: Simplify -1 into -1 0.964 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.964 * [taylor]: Taking taylor expansion of f in f 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.964 * [taylor]: Taking taylor expansion of n in f 0.964 * [backup-simplify]: Simplify n into n 0.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.964 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.964 * [taylor]: Taking taylor expansion of f in f 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.964 * [taylor]: Taking taylor expansion of n in f 0.964 * [backup-simplify]: Simplify n into n 0.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.965 * [backup-simplify]: Simplify (+ 1 0) into 1 0.965 * [backup-simplify]: Simplify (+ 1 0) into 1 0.965 * [backup-simplify]: Simplify (/ 1 1) into 1 0.965 * [backup-simplify]: Simplify (* -1 1) into -1 0.966 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.966 * [taylor]: Taking taylor expansion of 1 in f 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (- 1) into -1 0.966 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.967 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.968 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.968 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.968 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 0.968 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 0.968 * [taylor]: Taking taylor expansion of 1 in f 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.968 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 0.968 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.968 * [taylor]: Taking taylor expansion of -1 in f 0.968 * [backup-simplify]: Simplify -1 into -1 0.968 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.968 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.968 * [taylor]: Taking taylor expansion of f in f 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.968 * [taylor]: Taking taylor expansion of n in f 0.968 * [backup-simplify]: Simplify n into n 0.968 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.968 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.969 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.969 * [taylor]: Taking taylor expansion of f in f 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.969 * [taylor]: Taking taylor expansion of n in f 0.969 * [backup-simplify]: Simplify n into n 0.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.969 * [backup-simplify]: Simplify (+ 1 0) into 1 0.969 * [backup-simplify]: Simplify (+ 1 0) into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [backup-simplify]: Simplify (* -1 1) into -1 0.970 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.970 * [taylor]: Taking taylor expansion of 1 in f 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (- 1) into -1 0.971 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 0.972 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 0.972 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.972 * [taylor]: Taking taylor expansion of -1 in n 0.972 * [backup-simplify]: Simplify -1 into -1 0.972 * [backup-simplify]: Simplify -1 into -1 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.974 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.974 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.974 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.974 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 0.975 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 0.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 0.976 * [taylor]: Taking taylor expansion of (/ -2 n) in n 0.976 * [taylor]: Taking taylor expansion of -2 in n 0.976 * [backup-simplify]: Simplify -2 into -2 0.976 * [taylor]: Taking taylor expansion of n in n 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (/ -2 1) into -2 0.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.980 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.980 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 0.981 * [backup-simplify]: Simplify (- 0) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 0.983 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 0.983 * [taylor]: Taking taylor expansion of -2 in n 0.983 * [backup-simplify]: Simplify -2 into -2 0.983 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.983 * [taylor]: Taking taylor expansion of n in n 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (/ -2 1) into -2 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.988 * [backup-simplify]: Simplify (- 0) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [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))) 0.989 * [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)))) 0.990 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 0.991 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 0.994 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 0.994 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 0.994 * [taylor]: Taking taylor expansion of -2 in n 0.994 * [backup-simplify]: Simplify -2 into -2 0.994 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.994 * [taylor]: Taking taylor expansion of n in n 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (/ -2 1) into -2 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify -1 into -1 1.000 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.000 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.000 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.000 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.000 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.000 * [taylor]: Taking taylor expansion of 1 in n 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.000 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.000 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.000 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.000 * [taylor]: Taking taylor expansion of f in n 1.000 * [backup-simplify]: Simplify f into f 1.000 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.000 * [taylor]: Taking taylor expansion of n in n 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.001 * [taylor]: Taking taylor expansion of f in n 1.001 * [backup-simplify]: Simplify f into f 1.001 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.001 * [backup-simplify]: Simplify (+ 0 1) into 1 1.001 * [backup-simplify]: Simplify (+ 1 0) into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [backup-simplify]: Simplify (exp 1) into E 1.002 * [taylor]: Taking taylor expansion of 1 in n 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (- 1) into -1 1.002 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.003 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.003 * [backup-simplify]: Simplify (log E) into 1 1.003 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.003 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.003 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.003 * [taylor]: Taking taylor expansion of 1 in f 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.003 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.003 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.003 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.003 * [taylor]: Taking taylor expansion of f in f 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.003 * [taylor]: Taking taylor expansion of n in f 1.003 * [backup-simplify]: Simplify n into n 1.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.004 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.004 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.004 * [taylor]: Taking taylor expansion of n in f 1.004 * [backup-simplify]: Simplify n into n 1.004 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.004 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.004 * [taylor]: Taking taylor expansion of f in f 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [backup-simplify]: Simplify (- 1) into -1 1.005 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.005 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.005 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.005 * [taylor]: Taking taylor expansion of 1 in f 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (- 1) into -1 1.006 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.007 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.007 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.007 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.007 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.007 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.007 * [taylor]: Taking taylor expansion of 1 in f 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.007 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.007 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.007 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.007 * [taylor]: Taking taylor expansion of f in f 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (/ 1 1) into 1 1.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.008 * [taylor]: Taking taylor expansion of n in f 1.008 * [backup-simplify]: Simplify n into n 1.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.008 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.008 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.008 * [taylor]: Taking taylor expansion of n in f 1.008 * [backup-simplify]: Simplify n into n 1.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.008 * [taylor]: Taking taylor expansion of f in f 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (/ 1 1) into 1 1.008 * [backup-simplify]: Simplify (+ 1 0) into 1 1.009 * [backup-simplify]: Simplify (- 1) into -1 1.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.009 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.009 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.009 * [taylor]: Taking taylor expansion of 1 in f 1.009 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (- 1) into -1 1.010 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.011 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.011 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.012 * [taylor]: Taking taylor expansion of -1 in n 1.012 * [backup-simplify]: Simplify -1 into -1 1.012 * [backup-simplify]: Simplify -1 into -1 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- 0) into 0 1.013 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.013 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.013 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.014 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 1.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 1.015 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.015 * [taylor]: Taking taylor expansion of -2 in n 1.015 * [backup-simplify]: Simplify -2 into -2 1.015 * [taylor]: Taking taylor expansion of n in n 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (/ -2 1) into -2 1.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.019 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 1.021 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.021 * [taylor]: Taking taylor expansion of -2 in n 1.021 * [backup-simplify]: Simplify -2 into -2 1.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.021 * [taylor]: Taking taylor expansion of n in n 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.022 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (/ -2 1) into -2 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (- 0) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.027 * [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)))) 1.028 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.028 * [backup-simplify]: Simplify (- 0) into 0 1.029 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.029 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.032 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 1.032 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.032 * [taylor]: Taking taylor expansion of -2 in n 1.032 * [backup-simplify]: Simplify -2 into -2 1.032 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.032 * [taylor]: Taking taylor expansion of n in n 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ -2 1) into -2 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify -1 into -1 1.037 * * * [progress]: simplifying candidates 1.039 * [simplify]: Simplifying: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (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 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1.040 * [simplify]: Sending expressions to egg_math: (exp (/ (- (+ h1 h0)) (- h1 h0))) (expm1 (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (log (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (exp (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (* (cbrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (cbrt (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (cbrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (* (* (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (sqrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (sqrt (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (log1p (/ (- (+ h1 h0)) (- h1 h0))) (- (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 (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (expm1 (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (log1p (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (log (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (exp (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (* (cbrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (cbrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0)))))) (cbrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (* (* (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0)))) (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (sqrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (sqrt (log1p (expm1 (/ (- (+ h1 h0)) (- h1 h0))))) (- h2 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1.045 * * [simplify]: iteration 0 : 322 enodes (cost 918 ) 1.049 * * [simplify]: iteration 1 : 969 enodes (cost 882 ) 1.061 * * [simplify]: iteration 2 : 3073 enodes (cost 867 ) 1.099 * * [simplify]: iteration 3 : 5001 enodes (cost 867 ) 1.103 * * * [progress]: adding candidates to table 1.337 * * [progress]: iteration 3 / 4 1.337 * * * [progress]: picking best candidate 1.342 * * * * [pick]: Picked # 1.342 * * * [progress]: localizing error 1.347 * * * [progress]: generating rewritten candidates 1.347 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.386 * * * [progress]: generating series expansions 1.386 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.386 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.386 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.386 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.386 * [taylor]: Taking taylor expansion of -1 in n 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.386 * [taylor]: Taking taylor expansion of (+ n f) in n 1.386 * [taylor]: Taking taylor expansion of n in n 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [taylor]: Taking taylor expansion of f in n 1.386 * [backup-simplify]: Simplify f into f 1.386 * [taylor]: Taking taylor expansion of (- f n) in n 1.386 * [taylor]: Taking taylor expansion of f in n 1.386 * [backup-simplify]: Simplify f into f 1.386 * [taylor]: Taking taylor expansion of n in n 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (+ 0 f) into f 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (+ f 0) into f 1.387 * [backup-simplify]: Simplify (/ f f) into 1 1.387 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.387 * [taylor]: Taking taylor expansion of -1 in f 1.387 * [backup-simplify]: Simplify -1 into -1 1.387 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.387 * [taylor]: Taking taylor expansion of (+ n f) in f 1.387 * [taylor]: Taking taylor expansion of n in f 1.387 * [backup-simplify]: Simplify n into n 1.387 * [taylor]: Taking taylor expansion of f in f 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of (- f n) in f 1.387 * [taylor]: Taking taylor expansion of f in f 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of n in f 1.387 * [backup-simplify]: Simplify n into n 1.387 * [backup-simplify]: Simplify (+ n 0) into n 1.387 * [backup-simplify]: Simplify (- n) into (- n) 1.387 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.387 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.387 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.387 * [taylor]: Taking taylor expansion of -1 in f 1.387 * [backup-simplify]: Simplify -1 into -1 1.387 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.387 * [taylor]: Taking taylor expansion of (+ n f) in f 1.387 * [taylor]: Taking taylor expansion of n in f 1.387 * [backup-simplify]: Simplify n into n 1.387 * [taylor]: Taking taylor expansion of f in f 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of (- f n) in f 1.387 * [taylor]: Taking taylor expansion of f in f 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of n in f 1.387 * [backup-simplify]: Simplify n into n 1.387 * [backup-simplify]: Simplify (+ n 0) into n 1.387 * [backup-simplify]: Simplify (- n) into (- n) 1.387 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.387 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.388 * [backup-simplify]: Simplify (* -1 -1) into 1 1.388 * [taylor]: Taking taylor expansion of 1 in n 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (+ 0 1) into 1 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.389 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.389 * [taylor]: Taking taylor expansion of 2 in n 1.389 * [backup-simplify]: Simplify 2 into 2 1.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.392 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.392 * [taylor]: Taking taylor expansion of 2 in n 1.392 * [backup-simplify]: Simplify 2 into 2 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.392 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.392 * [taylor]: Taking taylor expansion of n in n 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [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)))) 1.397 * [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))) 1.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.397 * [taylor]: Taking taylor expansion of 2 in n 1.397 * [backup-simplify]: Simplify 2 into 2 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.397 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.403 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.403 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.403 * [taylor]: Taking taylor expansion of -1 in n 1.403 * [backup-simplify]: Simplify -1 into -1 1.403 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.403 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.403 * [taylor]: Taking taylor expansion of f in n 1.403 * [backup-simplify]: Simplify f into f 1.403 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.403 * [taylor]: Taking taylor expansion of n in n 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.403 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.403 * [taylor]: Taking taylor expansion of f in n 1.403 * [backup-simplify]: Simplify f into f 1.403 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.403 * [taylor]: Taking taylor expansion of n in n 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (+ 0 1) into 1 1.404 * [backup-simplify]: Simplify (- 1) into -1 1.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.405 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.405 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.405 * [taylor]: Taking taylor expansion of -1 in f 1.405 * [backup-simplify]: Simplify -1 into -1 1.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.405 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.405 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.405 * [taylor]: Taking taylor expansion of f in f 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.405 * [taylor]: Taking taylor expansion of n in f 1.405 * [backup-simplify]: Simplify n into n 1.405 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.405 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.405 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.405 * [taylor]: Taking taylor expansion of f in f 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.405 * [taylor]: Taking taylor expansion of n in f 1.405 * [backup-simplify]: Simplify n into n 1.405 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.406 * [backup-simplify]: Simplify (+ 1 0) into 1 1.406 * [backup-simplify]: Simplify (+ 1 0) into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.406 * [taylor]: Taking taylor expansion of -1 in f 1.406 * [backup-simplify]: Simplify -1 into -1 1.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.406 * [taylor]: Taking taylor expansion of f in f 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.407 * [taylor]: Taking taylor expansion of n in f 1.407 * [backup-simplify]: Simplify n into n 1.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.407 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.407 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.407 * [taylor]: Taking taylor expansion of f in f 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.407 * [taylor]: Taking taylor expansion of n in f 1.407 * [backup-simplify]: Simplify n into n 1.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.407 * [backup-simplify]: Simplify (+ 1 0) into 1 1.407 * [backup-simplify]: Simplify (+ 1 0) into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [backup-simplify]: Simplify (* -1 1) into -1 1.408 * [taylor]: Taking taylor expansion of -1 in n 1.408 * [backup-simplify]: Simplify -1 into -1 1.408 * [backup-simplify]: Simplify -1 into -1 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.409 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.409 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.409 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.409 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.409 * [taylor]: Taking taylor expansion of 2 in n 1.409 * [backup-simplify]: Simplify 2 into 2 1.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (/ 1 1) into 1 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.414 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.414 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.414 * [taylor]: Taking taylor expansion of 2 in n 1.414 * [backup-simplify]: Simplify 2 into 2 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.414 * [taylor]: Taking taylor expansion of n in n 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.414 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [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))) 1.421 * [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)))) 1.421 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.421 * [taylor]: Taking taylor expansion of 2 in n 1.421 * [backup-simplify]: Simplify 2 into 2 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.421 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (/ 1 1) into 1 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify -1 into -1 1.427 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.427 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.427 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.427 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.427 * [taylor]: Taking taylor expansion of f in n 1.427 * [backup-simplify]: Simplify f into f 1.427 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.428 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.428 * [taylor]: Taking taylor expansion of n in n 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.428 * [taylor]: Taking taylor expansion of f in n 1.428 * [backup-simplify]: Simplify f into f 1.428 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.428 * [backup-simplify]: Simplify (+ 0 1) into 1 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.429 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [backup-simplify]: Simplify n into n 1.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.429 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.429 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.429 * [taylor]: Taking taylor expansion of n in f 1.429 * [backup-simplify]: Simplify n into n 1.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.429 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.429 * [taylor]: Taking taylor expansion of f in f 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [backup-simplify]: Simplify (+ 1 0) into 1 1.430 * [backup-simplify]: Simplify (- 1) into -1 1.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.430 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.430 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.430 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.430 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.430 * [taylor]: Taking taylor expansion of f in f 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.431 * [taylor]: Taking taylor expansion of n in f 1.431 * [backup-simplify]: Simplify n into n 1.431 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.431 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.431 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.431 * [taylor]: Taking taylor expansion of n in f 1.431 * [backup-simplify]: Simplify n into n 1.431 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.431 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.431 * [taylor]: Taking taylor expansion of f in f 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.432 * [backup-simplify]: Simplify (- 1) into -1 1.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.432 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.432 * [taylor]: Taking taylor expansion of -1 in n 1.432 * [backup-simplify]: Simplify -1 into -1 1.432 * [backup-simplify]: Simplify -1 into -1 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.434 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.434 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.434 * [taylor]: Taking taylor expansion of 2 in n 1.434 * [backup-simplify]: Simplify 2 into 2 1.434 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.434 * [taylor]: Taking taylor expansion of n in n 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.437 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.437 * [taylor]: Taking taylor expansion of 2 in n 1.437 * [backup-simplify]: Simplify 2 into 2 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.437 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.437 * [taylor]: Taking taylor expansion of n in n 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.442 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.445 * [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)))) 1.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.445 * [taylor]: Taking taylor expansion of 2 in n 1.445 * [backup-simplify]: Simplify 2 into 2 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.445 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify -1 into -1 1.453 * * * [progress]: simplifying candidates 1.455 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (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 1.456 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- (+ h1 h0)) (- h1 h0))) (log1p (/ (- (+ h1 h0)) (- h1 h0))) (- (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 1.460 * * [simplify]: iteration 0 : 293 enodes (cost 774 ) 1.464 * * [simplify]: iteration 1 : 927 enodes (cost 758 ) 1.477 * * [simplify]: iteration 2 : 3021 enodes (cost 743 ) 1.514 * * [simplify]: iteration 3 : 5001 enodes (cost 743 ) 1.518 * * * [progress]: adding candidates to table 1.653 * * [progress]: iteration 4 / 4 1.653 * * * [progress]: picking best candidate 1.656 * * * * [pick]: Picked # 1.656 * * * [progress]: localizing error 1.666 * * * [progress]: generating rewritten candidates 1.666 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.689 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.745 * * * [progress]: generating series expansions 1.745 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.745 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 1.745 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.745 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.745 * [taylor]: Taking taylor expansion of (- f n) in n 1.745 * [taylor]: Taking taylor expansion of f in n 1.745 * [backup-simplify]: Simplify f into f 1.745 * [taylor]: Taking taylor expansion of n in n 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (+ n f) in n 1.745 * [taylor]: Taking taylor expansion of n in n 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of f in n 1.745 * [backup-simplify]: Simplify f into f 1.746 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ f 0) into f 1.746 * [backup-simplify]: Simplify (+ 0 f) into f 1.746 * [backup-simplify]: Simplify (/ f f) into 1 1.746 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.746 * [taylor]: Taking taylor expansion of (- f n) in f 1.746 * [taylor]: Taking taylor expansion of f in f 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [taylor]: Taking taylor expansion of n in f 1.746 * [backup-simplify]: Simplify n into n 1.746 * [taylor]: Taking taylor expansion of (+ n f) in f 1.746 * [taylor]: Taking taylor expansion of n in f 1.746 * [backup-simplify]: Simplify n into n 1.746 * [taylor]: Taking taylor expansion of f in f 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (- n) into (- n) 1.746 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.746 * [backup-simplify]: Simplify (+ n 0) into n 1.746 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.746 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.746 * [taylor]: Taking taylor expansion of (- f n) in f 1.746 * [taylor]: Taking taylor expansion of f in f 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [taylor]: Taking taylor expansion of n in f 1.746 * [backup-simplify]: Simplify n into n 1.746 * [taylor]: Taking taylor expansion of (+ n f) in f 1.746 * [taylor]: Taking taylor expansion of n in f 1.746 * [backup-simplify]: Simplify n into n 1.746 * [taylor]: Taking taylor expansion of f in f 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (- n) into (- n) 1.746 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.746 * [backup-simplify]: Simplify (+ n 0) into n 1.746 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.746 * [taylor]: Taking taylor expansion of -1 in n 1.746 * [backup-simplify]: Simplify -1 into -1 1.746 * [backup-simplify]: Simplify -1 into -1 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ 1 0) into 1 1.747 * [backup-simplify]: Simplify (+ 0 1) into 1 1.747 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.747 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.747 * [taylor]: Taking taylor expansion of 2 in n 1.747 * [backup-simplify]: Simplify 2 into 2 1.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.747 * [taylor]: Taking taylor expansion of n in n 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.749 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.749 * [taylor]: Taking taylor expansion of 2 in n 1.749 * [backup-simplify]: Simplify 2 into 2 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.749 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (* 1 1) into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.752 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [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))) 1.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.754 * [taylor]: Taking taylor expansion of 2 in n 1.754 * [backup-simplify]: Simplify 2 into 2 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.754 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.755 * [taylor]: Taking taylor expansion of n in n 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify -1 into -1 1.760 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1.760 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.760 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.760 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.760 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.760 * [taylor]: Taking taylor expansion of f in n 1.760 * [backup-simplify]: Simplify f into f 1.760 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.760 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.760 * [taylor]: Taking taylor expansion of n in n 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (/ 1 1) into 1 1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.761 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.761 * [taylor]: Taking taylor expansion of f in n 1.761 * [backup-simplify]: Simplify f into f 1.761 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.761 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [backup-simplify]: Simplify (- 1) into -1 1.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.762 * [backup-simplify]: Simplify (+ 0 1) into 1 1.762 * [backup-simplify]: Simplify (/ -1 1) into -1 1.762 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.762 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.762 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.762 * [taylor]: Taking taylor expansion of f in f 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [backup-simplify]: Simplify (/ 1 1) into 1 1.762 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.762 * [taylor]: Taking taylor expansion of n in f 1.762 * [backup-simplify]: Simplify n into n 1.762 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.762 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.762 * [taylor]: Taking taylor expansion of f in f 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.763 * [taylor]: Taking taylor expansion of n in f 1.763 * [backup-simplify]: Simplify n into n 1.763 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.763 * [backup-simplify]: Simplify (+ 1 0) into 1 1.763 * [backup-simplify]: Simplify (+ 1 0) into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.764 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.764 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.764 * [taylor]: Taking taylor expansion of f in f 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.764 * [taylor]: Taking taylor expansion of n in f 1.764 * [backup-simplify]: Simplify n into n 1.764 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.764 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.764 * [taylor]: Taking taylor expansion of f in f 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.764 * [taylor]: Taking taylor expansion of n in f 1.764 * [backup-simplify]: Simplify n into n 1.764 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.765 * [backup-simplify]: Simplify (+ 1 0) into 1 1.765 * [backup-simplify]: Simplify (+ 1 0) into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of 1 in n 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.766 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.767 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 1.767 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.767 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.767 * [taylor]: Taking taylor expansion of 2 in n 1.767 * [backup-simplify]: Simplify 2 into 2 1.767 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 1.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.770 * [taylor]: Taking taylor expansion of 2 in n 1.770 * [backup-simplify]: Simplify 2 into 2 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.770 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.770 * [taylor]: Taking taylor expansion of n in n 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (* 1 1) into 1 1.771 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [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)))) 1.777 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.777 * [taylor]: Taking taylor expansion of 2 in n 1.777 * [backup-simplify]: Simplify 2 into 2 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.777 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.777 * [taylor]: Taking taylor expansion of n in n 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- 0) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1.783 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.783 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.783 * [taylor]: Taking taylor expansion of -1 in n 1.783 * [backup-simplify]: Simplify -1 into -1 1.783 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.783 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.784 * [taylor]: Taking taylor expansion of f in n 1.784 * [backup-simplify]: Simplify f into f 1.784 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.784 * [taylor]: Taking taylor expansion of f in n 1.784 * [backup-simplify]: Simplify f into f 1.784 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (+ 0 1) into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.785 * [taylor]: Taking taylor expansion of -1 in f 1.785 * [backup-simplify]: Simplify -1 into -1 1.785 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.785 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.785 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.785 * [taylor]: Taking taylor expansion of n in f 1.785 * [backup-simplify]: Simplify n into n 1.785 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.785 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.785 * [taylor]: Taking taylor expansion of f in f 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.785 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.785 * [taylor]: Taking taylor expansion of f in f 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.786 * [taylor]: Taking taylor expansion of n in f 1.786 * [backup-simplify]: Simplify n into n 1.786 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.786 * [backup-simplify]: Simplify (- 1) into -1 1.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.786 * [backup-simplify]: Simplify (+ 1 0) into 1 1.787 * [backup-simplify]: Simplify (/ -1 1) into -1 1.787 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.787 * [taylor]: Taking taylor expansion of -1 in f 1.787 * [backup-simplify]: Simplify -1 into -1 1.787 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.787 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.787 * [taylor]: Taking taylor expansion of n in f 1.787 * [backup-simplify]: Simplify n into n 1.787 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.787 * [taylor]: Taking taylor expansion of f in f 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.787 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.787 * [taylor]: Taking taylor expansion of f in f 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.787 * [taylor]: Taking taylor expansion of n in f 1.787 * [backup-simplify]: Simplify n into n 1.788 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.788 * [backup-simplify]: Simplify (- 1) into -1 1.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (/ -1 1) into -1 1.789 * [backup-simplify]: Simplify (* -1 -1) into 1 1.789 * [taylor]: Taking taylor expansion of 1 in n 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.790 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 1.790 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 1.790 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.790 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.790 * [taylor]: Taking taylor expansion of 2 in n 1.790 * [backup-simplify]: Simplify 2 into 2 1.790 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.790 * [taylor]: Taking taylor expansion of n in n 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.795 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.795 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.795 * [taylor]: Taking taylor expansion of 2 in n 1.795 * [backup-simplify]: Simplify 2 into 2 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.795 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.795 * [taylor]: Taking taylor expansion of n in n 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (* 1 1) into 1 1.795 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- 0) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [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))) 1.806 * [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)))) 1.806 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.806 * [taylor]: Taking taylor expansion of 2 in n 1.807 * [backup-simplify]: Simplify 2 into 2 1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.807 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (* 1 1) into 1 1.807 * [backup-simplify]: Simplify (* 1 1) into 1 1.807 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (- 0) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.813 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 1.813 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.813 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.813 * [taylor]: Taking taylor expansion of -1 in n 1.813 * [backup-simplify]: Simplify -1 into -1 1.813 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.813 * [taylor]: Taking taylor expansion of (+ n f) in n 1.813 * [taylor]: Taking taylor expansion of n in n 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [taylor]: Taking taylor expansion of f in n 1.813 * [backup-simplify]: Simplify f into f 1.813 * [taylor]: Taking taylor expansion of (- f n) in n 1.813 * [taylor]: Taking taylor expansion of f in n 1.813 * [backup-simplify]: Simplify f into f 1.813 * [taylor]: Taking taylor expansion of n in n 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (+ 0 f) into f 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ f 0) into f 1.813 * [backup-simplify]: Simplify (/ f f) into 1 1.813 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.813 * [taylor]: Taking taylor expansion of -1 in f 1.813 * [backup-simplify]: Simplify -1 into -1 1.813 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.813 * [taylor]: Taking taylor expansion of (+ n f) in f 1.813 * [taylor]: Taking taylor expansion of n in f 1.813 * [backup-simplify]: Simplify n into n 1.813 * [taylor]: Taking taylor expansion of f in f 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of (- f n) in f 1.814 * [taylor]: Taking taylor expansion of f in f 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of n in f 1.814 * [backup-simplify]: Simplify n into n 1.814 * [backup-simplify]: Simplify (+ n 0) into n 1.814 * [backup-simplify]: Simplify (- n) into (- n) 1.814 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.814 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.814 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.814 * [taylor]: Taking taylor expansion of -1 in f 1.814 * [backup-simplify]: Simplify -1 into -1 1.814 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.814 * [taylor]: Taking taylor expansion of (+ n f) in f 1.814 * [taylor]: Taking taylor expansion of n in f 1.814 * [backup-simplify]: Simplify n into n 1.814 * [taylor]: Taking taylor expansion of f in f 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of (- f n) in f 1.814 * [taylor]: Taking taylor expansion of f in f 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [taylor]: Taking taylor expansion of n in f 1.814 * [backup-simplify]: Simplify n into n 1.814 * [backup-simplify]: Simplify (+ n 0) into n 1.814 * [backup-simplify]: Simplify (- n) into (- n) 1.814 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.814 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.814 * [backup-simplify]: Simplify (* -1 -1) into 1 1.814 * [taylor]: Taking taylor expansion of 1 in n 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (+ 0 1) into 1 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ 1 0) into 1 1.815 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.816 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.816 * [taylor]: Taking taylor expansion of 2 in n 1.816 * [backup-simplify]: Simplify 2 into 2 1.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.818 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.818 * [taylor]: Taking taylor expansion of 2 in n 1.818 * [backup-simplify]: Simplify 2 into 2 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.819 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.819 * [taylor]: Taking taylor expansion of n in n 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (* 1 1) into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [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)))) 1.824 * [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))) 1.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.824 * [taylor]: Taking taylor expansion of 2 in n 1.824 * [backup-simplify]: Simplify 2 into 2 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.824 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.824 * [taylor]: Taking taylor expansion of n in n 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (* 1 1) into 1 1.824 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.830 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.830 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.830 * [taylor]: Taking taylor expansion of -1 in n 1.830 * [backup-simplify]: Simplify -1 into -1 1.830 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.830 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.830 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.830 * [taylor]: Taking taylor expansion of f in n 1.830 * [backup-simplify]: Simplify f into f 1.830 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (/ 1 1) into 1 1.830 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.830 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.830 * [taylor]: Taking taylor expansion of f in n 1.830 * [backup-simplify]: Simplify f into f 1.830 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.831 * [backup-simplify]: Simplify (+ 0 1) into 1 1.831 * [backup-simplify]: Simplify (- 1) into -1 1.831 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.832 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.832 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.832 * [taylor]: Taking taylor expansion of -1 in f 1.832 * [backup-simplify]: Simplify -1 into -1 1.832 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.832 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.832 * [taylor]: Taking taylor expansion of f in f 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.832 * [taylor]: Taking taylor expansion of n in f 1.832 * [backup-simplify]: Simplify n into n 1.832 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.832 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.832 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.832 * [taylor]: Taking taylor expansion of f in f 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.832 * [taylor]: Taking taylor expansion of n in f 1.832 * [backup-simplify]: Simplify n into n 1.832 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.833 * [backup-simplify]: Simplify (+ 1 0) into 1 1.833 * [backup-simplify]: Simplify (+ 1 0) into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.833 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.833 * [taylor]: Taking taylor expansion of -1 in f 1.833 * [backup-simplify]: Simplify -1 into -1 1.833 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.833 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.833 * [taylor]: Taking taylor expansion of f in f 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.834 * [taylor]: Taking taylor expansion of n in f 1.834 * [backup-simplify]: Simplify n into n 1.834 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.834 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.834 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.834 * [taylor]: Taking taylor expansion of f in f 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.834 * [taylor]: Taking taylor expansion of n in f 1.834 * [backup-simplify]: Simplify n into n 1.834 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.834 * [backup-simplify]: Simplify (+ 1 0) into 1 1.835 * [backup-simplify]: Simplify (+ 1 0) into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.835 * [backup-simplify]: Simplify (* -1 1) into -1 1.835 * [taylor]: Taking taylor expansion of -1 in n 1.835 * [backup-simplify]: Simplify -1 into -1 1.835 * [backup-simplify]: Simplify -1 into -1 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.836 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.836 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.837 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.837 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.837 * [taylor]: Taking taylor expansion of 2 in n 1.837 * [backup-simplify]: Simplify 2 into 2 1.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.837 * [taylor]: Taking taylor expansion of n in n 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.841 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.841 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.841 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.841 * [taylor]: Taking taylor expansion of 2 in n 1.841 * [backup-simplify]: Simplify 2 into 2 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.841 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* 1 1) into 1 1.841 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.844 * [backup-simplify]: Simplify (- 0) into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [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))) 1.848 * [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)))) 1.848 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.849 * [taylor]: Taking taylor expansion of 2 in n 1.849 * [backup-simplify]: Simplify 2 into 2 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.849 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.849 * [taylor]: Taking taylor expansion of n in n 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.849 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify -1 into -1 1.855 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.855 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.855 * [taylor]: Taking taylor expansion of f in n 1.855 * [backup-simplify]: Simplify f into f 1.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.855 * [taylor]: Taking taylor expansion of f in n 1.855 * [backup-simplify]: Simplify f into f 1.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.856 * [backup-simplify]: Simplify (+ 0 1) into 1 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.856 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.856 * [taylor]: Taking taylor expansion of f in f 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.856 * [taylor]: Taking taylor expansion of n in f 1.856 * [backup-simplify]: Simplify n into n 1.856 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.857 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.857 * [taylor]: Taking taylor expansion of n in f 1.857 * [backup-simplify]: Simplify n into n 1.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.857 * [taylor]: Taking taylor expansion of f in f 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (- 1) into -1 1.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.858 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.858 * [taylor]: Taking taylor expansion of f in f 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.858 * [taylor]: Taking taylor expansion of n in f 1.858 * [backup-simplify]: Simplify n into n 1.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.858 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.858 * [taylor]: Taking taylor expansion of n in f 1.858 * [backup-simplify]: Simplify n into n 1.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.858 * [taylor]: Taking taylor expansion of f in f 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (+ 1 0) into 1 1.859 * [backup-simplify]: Simplify (- 1) into -1 1.859 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.860 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.860 * [taylor]: Taking taylor expansion of -1 in n 1.860 * [backup-simplify]: Simplify -1 into -1 1.860 * [backup-simplify]: Simplify -1 into -1 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.861 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.861 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.861 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.861 * [taylor]: Taking taylor expansion of 2 in n 1.861 * [backup-simplify]: Simplify 2 into 2 1.861 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.861 * [taylor]: Taking taylor expansion of n in n 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.862 * [backup-simplify]: Simplify (- 0) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.865 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.865 * [taylor]: Taking taylor expansion of 2 in n 1.865 * [backup-simplify]: Simplify 2 into 2 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.865 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.865 * [taylor]: Taking taylor expansion of n in n 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (- 0) into 0 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [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)))) 1.872 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.872 * [taylor]: Taking taylor expansion of 2 in n 1.872 * [backup-simplify]: Simplify 2 into 2 1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.872 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.872 * [taylor]: Taking taylor expansion of n in n 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* 1 1) into 1 1.873 * [backup-simplify]: Simplify (* 1 1) into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * * * [progress]: simplifying candidates 1.884 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (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)) (/ f (+ f n)) (/ 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))) 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)) 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 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt 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 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt 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)) (expm1 (/ (- 1) (/ (- f n) (+ f n)))) (log1p (/ (- 1) (/ (- f n) (+ f n)))) (- (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))) (/ 0 (/ (- 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 (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt (- 1)) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) 1)) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (sqrt (- f n)) 1)) (/ (cbrt (- 1)) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 1)) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 1)) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- 1)) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 (sqrt (+ f n)))) (/ (cbrt (- 1)) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 1)) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ 1 1)) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) 1) (/ (cbrt (- 1)) (/ (- f n) (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (- f n)) (/ (cbrt (- 1)) (/ 1 (+ f n))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt (- 1)) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt (- 1)) (cbrt (- 1))) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt (- 1)) (- f n)) (/ (sqrt (- 1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt (- 1)) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt (- 1)) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt (- 1)) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt (- 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- 1)) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (- 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt (- 1)) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt (- 1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (sqrt (- 1)) (/ (cbrt (- f n)) (+ f n))) (/ (sqrt (- 1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- 1)) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (sqrt (- 1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (sqrt (- f n)) 1)) (/ (sqrt (- 1)) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt (- 1)) (/ (sqrt (- f n)) 1)) (/ (sqrt (- 1)) (/ (sqrt (- f n)) (+ f n))) (/ (sqrt (- 1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- 1)) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt (- 1)) (/ 1 (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ 1 1)) (/ (sqrt (- 1)) (/ (- f n) (+ f n))) (/ (sqrt (- 1)) (/ 1 1)) (/ (sqrt (- 1)) (/ (- f n) (+ f n))) (/ (sqrt (- 1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- 1)) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (sqrt (- 1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt (- 1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (sqrt (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (sqrt (- 1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- 1)) (/ (- f n) (cbrt (+ f n)))) (/ (sqrt (- 1)) (/ 1 (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ (- f n) (sqrt (+ f n)))) (/ (sqrt (- 1)) (/ 1 1)) (/ (sqrt (- 1)) (/ (- f n) (+ f n))) (/ (sqrt (- 1)) (/ 1 1)) (/ (sqrt (- 1)) (/ (- f n) (+ f n))) (/ (sqrt (- 1)) 1) (/ (sqrt (- 1)) (/ (- f n) (+ f n))) (/ (sqrt (- 1)) (- f n)) (/ (sqrt (- 1)) (/ 1 (+ f n))) (/ (sqrt (- 1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (sqrt (- 1)) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt (- 1)) (/ (- f n) (- (* f f) (* n n)))) (/ (sqrt (- 1)) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (- 1) (cbrt (/ (- f n) (+ f n)))) (/ 1 (sqrt (/ (- f n) (+ f n)))) (/ (- 1) (sqrt (/ (- f n) (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- 1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (- 1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (- 1) (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (- 1) (/ (cbrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- 1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (- 1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ (- 1) (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ (- 1) (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- 1) (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ (- 1) (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ (- 1) (/ (- f n) (+ f n))) (/ 1 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h0)) (- 1)) (/ 1 (/ (- h1 h0) (+ h1 h0))) (/ (- 1) (* (cbrt (/ (- h1 h0) (+ h1 h0))) (cbrt (/ (- h1 h0) (+ h1 h0))))) (/ (- 1) (sqrt (/ (- h1 h0) (+ h1 h0)))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) (sqrt (+ h1 h0)))) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (* (cbrt (- h1 h0)) (cbrt (- h1 h0))) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (sqrt (- h1 h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ (sqrt (- h1 h0)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) (sqrt (+ h1 h0)))) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ (+ (sqrt h1) (sqrt h0)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (/ (- 1) (/ 1 (sqrt (+ h1 h0)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) 1) (/ (- 1) (- h1 h0)) (/ (- 1) (/ (- h1 h0) (+ (pow h1 3) (pow h0 3)))) (/ (- 1) (/ (- h1 h0) (- (* h1 h1) (* h0 h0)))) (/ (/ (- h1 h0) (+ h1 h0)) (cbrt (- 1))) (/ (/ (- h1 h0) (+ h1 h0)) (sqrt (- 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ (/ (- h1 h0) (+ h1 h0)) 1) (/ (/ (- h1 h0) (+ h1 h0)) (cbrt 1)) (/ (/ (- h1 h0) (+ h1 h0)) (sqrt 1)) (/ (/ (- h1 h0) (+ h1 h0)) 1) (/ (/ (- h1 h0) (+ h1 h0)) (- (cbrt 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- (sqrt 1))) (/ (/ (- h1 h0) (+ h1 h0)) (- 1)) (/ (- 1) (- h1 h0)) -1 1 1 1 -1 -1 1.902 * * [simplify]: iteration 0 : 1026 enodes (cost 3956 ) 1.921 * * [simplify]: iteration 1 : 5001 enodes (cost 3561 ) 1.937 * * * [progress]: adding candidates to table 2.388 * [progress]: [Phase 3 of 3] Extracting. 2.388 * * [regime]: Finding splitpoints for: (# # # #) 2.390 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 2.390 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 2.408 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# #) 2.417 * * * * [regimes]: Trying to branch on n from (# # # #) 2.433 * * * * [regimes]: Trying to branch on f from (# # # #) 2.451 * * * [regime]: Found split indices: #