0.700 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.268 * * * [progress]: [2/2] Setting up program. 0.274 * [progress]: [Phase 2 of 3] Improving. 0.278 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.280 * * [simplify]: Extracting # 0 : cost 0 0.280 * * [simplify]: Extracting # 1 : cost 0 0.280 * * [simplify]: Extracting # 2 : cost 0 0.281 * * [simplify]: Extracting # 3 : cost 0 0.281 * * [simplify]: Extracting # 4 : cost 0 0.281 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.291 * * [simplify]: Extracting # 0 : cost 0 0.291 * * [simplify]: Extracting # 1 : cost 0 0.291 * * [simplify]: Extracting # 2 : cost 0 0.291 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.296 * * [simplify]: Extracting # 0 : cost 0 0.296 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.302 * * [simplify]: Extracting # 0 : cost 0 0.302 * * [simplify]: Extracting # 1 : cost 0 0.302 * * [simplify]: Extracting # 2 : cost 0 0.302 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.309 * * [simplify]: Extracting # 0 : cost 0 0.309 * * [simplify]: Extracting # 1 : cost 0 0.309 * * [simplify]: Extracting # 2 : cost 0 0.309 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.318 * * [simplify]: Extracting # 0 : cost 0 0.318 * * [simplify]: Extracting # 1 : cost 0 0.318 * * [simplify]: Extracting # 2 : cost 0 0.318 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.324 * * [simplify]: Extracting # 0 : cost 0 0.324 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.329 * * [simplify]: Extracting # 0 : cost 0 0.329 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.329 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.331 * * [progress]: iteration 1 / 4 0.331 * * * [progress]: picking best candidate 0.333 * * * * [pick]: Picked # 0.333 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.414 * * * [progress]: generating series expansions 0.414 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.418 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.418 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.419 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.419 * [taylor]: Taking taylor expansion of -1 in n 0.419 * [backup-simplify]: Simplify -1 into -1 0.419 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.419 * [taylor]: Taking taylor expansion of (+ n f) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of f in n 0.420 * [backup-simplify]: Simplify f into f 0.420 * [taylor]: Taking taylor expansion of (- f n) in n 0.420 * [taylor]: Taking taylor expansion of f in n 0.420 * [backup-simplify]: Simplify f into f 0.420 * [taylor]: Taking taylor expansion of n in n 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ 0 f) into f 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ f 0) into f 0.421 * [backup-simplify]: Simplify (/ f f) into 1 0.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.421 * [taylor]: Taking taylor expansion of -1 in f 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.421 * [taylor]: Taking taylor expansion of (+ n f) in f 0.421 * [taylor]: Taking taylor expansion of n in f 0.421 * [backup-simplify]: Simplify n into n 0.421 * [taylor]: Taking taylor expansion of f in f 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (- f n) in f 0.421 * [taylor]: Taking taylor expansion of f in f 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of n in f 0.421 * [backup-simplify]: Simplify n into n 0.421 * [backup-simplify]: Simplify (+ n 0) into n 0.421 * [backup-simplify]: Simplify (- n) into (- n) 0.421 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.421 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.421 * [taylor]: Taking taylor expansion of -1 in f 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.421 * [taylor]: Taking taylor expansion of (+ n f) in f 0.421 * [taylor]: Taking taylor expansion of n in f 0.421 * [backup-simplify]: Simplify n into n 0.421 * [taylor]: Taking taylor expansion of f in f 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of (- f n) in f 0.422 * [taylor]: Taking taylor expansion of f in f 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [taylor]: Taking taylor expansion of n in f 0.422 * [backup-simplify]: Simplify n into n 0.422 * [backup-simplify]: Simplify (+ n 0) into n 0.422 * [backup-simplify]: Simplify (- n) into (- n) 0.422 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.422 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.423 * [backup-simplify]: Simplify (* -1 -1) into 1 0.423 * [taylor]: Taking taylor expansion of 1 in n 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (+ 0 1) into 1 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.424 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.424 * [taylor]: Taking taylor expansion of 2 in n 0.424 * [backup-simplify]: Simplify 2 into 2 0.424 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify 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) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.428 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.428 * [taylor]: Taking taylor expansion of 2 in n 0.428 * [backup-simplify]: Simplify 2 into 2 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.428 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [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)))) 0.434 * [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))) 0.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.434 * [taylor]: Taking taylor expansion of 2 in n 0.434 * [backup-simplify]: Simplify 2 into 2 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.434 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.434 * [taylor]: Taking taylor expansion of n in n 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.448 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.448 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.448 * [taylor]: Taking taylor expansion of -1 in n 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.448 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.448 * [taylor]: Taking taylor expansion of f in n 0.448 * [backup-simplify]: Simplify f into f 0.448 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.448 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.449 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.449 * [taylor]: Taking taylor expansion of f in n 0.449 * [backup-simplify]: Simplify f into f 0.449 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (+ 0 1) into 1 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.450 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.450 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.450 * [taylor]: Taking taylor expansion of -1 in f 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.450 * [taylor]: Taking taylor expansion of f in f 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.451 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.451 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.451 * [taylor]: Taking taylor expansion of f in f 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.451 * [taylor]: Taking taylor expansion of n in f 0.451 * [backup-simplify]: Simplify n into n 0.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.452 * [taylor]: Taking taylor expansion of -1 in f 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.452 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.452 * [taylor]: Taking taylor expansion of f in f 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.452 * [taylor]: Taking taylor expansion of n in f 0.452 * [backup-simplify]: Simplify n into n 0.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.453 * [taylor]: Taking taylor expansion of f in f 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.453 * [taylor]: Taking taylor expansion of n in f 0.453 * [backup-simplify]: Simplify n into n 0.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (* -1 1) into -1 0.454 * [taylor]: Taking taylor expansion of -1 in n 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [backup-simplify]: Simplify -1 into -1 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.455 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.455 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.456 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.456 * [taylor]: Taking taylor expansion of 2 in n 0.456 * [backup-simplify]: Simplify 2 into 2 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.460 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.460 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.460 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.460 * [taylor]: Taking taylor expansion of 2 in n 0.460 * [backup-simplify]: Simplify 2 into 2 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.460 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [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))) 0.470 * [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)))) 0.470 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.470 * [taylor]: Taking taylor expansion of 2 in n 0.470 * [backup-simplify]: Simplify 2 into 2 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.470 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify -1 into -1 0.477 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.477 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.477 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.477 * [taylor]: Taking taylor expansion of f in n 0.477 * [backup-simplify]: Simplify f into f 0.477 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.477 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.477 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.477 * [taylor]: Taking taylor expansion of f in n 0.477 * [backup-simplify]: Simplify f into f 0.477 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.478 * [backup-simplify]: Simplify (+ 0 1) into 1 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.478 * [taylor]: Taking taylor expansion of f in f 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.479 * [taylor]: Taking taylor expansion of n in f 0.479 * [backup-simplify]: Simplify n into n 0.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.479 * [taylor]: Taking taylor expansion of n in f 0.479 * [backup-simplify]: Simplify n into n 0.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.479 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.479 * [taylor]: Taking taylor expansion of f in f 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (- 1) into -1 0.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.480 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.480 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.480 * [taylor]: Taking taylor expansion of f in f 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.480 * [taylor]: Taking taylor expansion of n in f 0.480 * [backup-simplify]: Simplify n into n 0.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.481 * [taylor]: Taking taylor expansion of n in f 0.481 * [backup-simplify]: Simplify n into n 0.481 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.481 * [taylor]: Taking taylor expansion of f in f 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (- 1) into -1 0.482 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.482 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.482 * [taylor]: Taking taylor expansion of -1 in n 0.482 * [backup-simplify]: Simplify -1 into -1 0.482 * [backup-simplify]: Simplify -1 into -1 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.483 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.483 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.483 * [taylor]: Taking taylor expansion of 2 in n 0.483 * [backup-simplify]: Simplify 2 into 2 0.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.488 * [taylor]: Taking taylor expansion of 2 in n 0.488 * [backup-simplify]: Simplify 2 into 2 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.488 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.488 * [taylor]: Taking taylor expansion of n in n 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [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)))) 0.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.495 * [taylor]: Taking taylor expansion of 2 in n 0.495 * [backup-simplify]: Simplify 2 into 2 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.495 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * * * [progress]: simplifying candidates 0.503 * [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 0.505 * * [simplify]: Extracting # 0 : cost 0 0.505 * * [simplify]: Extracting # 1 : cost 0 0.506 * * [simplify]: Extracting # 2 : cost 0 0.506 * * [simplify]: Extracting # 3 : cost 0 0.506 * * [simplify]: Extracting # 4 : cost 0 0.506 * * [simplify]: Extracting # 5 : cost 0 0.506 * * [simplify]: Extracting # 6 : cost 0 0.506 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.540 * * [simplify]: Extracting # 0 : cost 0 0.540 * * [simplify]: Extracting # 1 : cost 0 0.540 * * [simplify]: Extracting # 2 : cost 0 0.541 * * [simplify]: Extracting # 3 : cost 0 0.541 * * [simplify]: Extracting # 4 : cost 0 0.541 * * [simplify]: iteration 1 : 292 enodes (cost 1395 ) 0.599 * * [simplify]: Extracting # 0 : cost 0 0.600 * * [simplify]: Extracting # 1 : cost 0 0.605 * * [simplify]: Extracting # 2 : cost 0 0.606 * * [simplify]: Extracting # 3 : cost 0 0.607 * * [simplify]: iteration 2 : 702 enodes (cost 1365 ) 1.230 * * [simplify]: Extracting # 0 : cost 0 1.235 * * [simplify]: Extracting # 1 : cost 0 1.239 * * [simplify]: Extracting # 2 : cost 0 1.243 * * [simplify]: Extracting # 3 : cost 0 1.246 * * [simplify]: Extracting # 4 : cost 0 1.250 * * [simplify]: iteration 3 : 1907 enodes (cost 1357 ) 3.443 * * [simplify]: Extracting # 0 : cost 0 3.455 * * [simplify]: Extracting # 1 : cost 0 3.464 * * [simplify]: Extracting # 2 : cost 0 3.472 * * [simplify]: Extracting # 3 : cost 0 3.481 * * [simplify]: Extracting # 4 : cost 0 3.490 * * [simplify]: Extracting # 5 : cost 0 3.498 * * [simplify]: iteration done: 5000 enodes (cost 1357 ) 3.500 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ n f) (- n f) 0 (/ (+ 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)))) (/ (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)))) (/ (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))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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)))) (/ (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)))) (/ (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))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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))) (/ (- (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))) (/ (- (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)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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)) (/ (- (+ f n)) (+ (sqrt f) (sqrt 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) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 3.501 * * * [progress]: adding candidates to table 3.717 * * [progress]: iteration 2 / 4 3.717 * * * [progress]: picking best candidate 3.726 * * * * [pick]: Picked # 3.726 * * * [progress]: localizing error 3.734 * * * [progress]: generating rewritten candidates 3.734 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.780 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.866 * * * [progress]: generating series expansions 3.866 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.866 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.866 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.866 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.866 * [taylor]: Taking taylor expansion of (- f n) in n 3.866 * [taylor]: Taking taylor expansion of f in n 3.866 * [backup-simplify]: Simplify f into f 3.866 * [taylor]: Taking taylor expansion of n in n 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [taylor]: Taking taylor expansion of (+ n f) in n 3.866 * [taylor]: Taking taylor expansion of n in n 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [taylor]: Taking taylor expansion of f in n 3.866 * [backup-simplify]: Simplify f into f 3.867 * [backup-simplify]: Simplify (- 0) into 0 3.867 * [backup-simplify]: Simplify (+ f 0) into f 3.867 * [backup-simplify]: Simplify (+ 0 f) into f 3.867 * [backup-simplify]: Simplify (/ f f) into 1 3.867 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.867 * [taylor]: Taking taylor expansion of (- f n) in f 3.867 * [taylor]: Taking taylor expansion of f in f 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [taylor]: Taking taylor expansion of n in f 3.867 * [backup-simplify]: Simplify n into n 3.867 * [taylor]: Taking taylor expansion of (+ n f) in f 3.867 * [taylor]: Taking taylor expansion of n in f 3.867 * [backup-simplify]: Simplify n into n 3.867 * [taylor]: Taking taylor expansion of f in f 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (- n) into (- n) 3.867 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.867 * [backup-simplify]: Simplify (+ n 0) into n 3.867 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.867 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.867 * [taylor]: Taking taylor expansion of (- f n) in f 3.867 * [taylor]: Taking taylor expansion of f in f 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [taylor]: Taking taylor expansion of n in f 3.868 * [backup-simplify]: Simplify n into n 3.868 * [taylor]: Taking taylor expansion of (+ n f) in f 3.868 * [taylor]: Taking taylor expansion of n in f 3.868 * [backup-simplify]: Simplify n into n 3.868 * [taylor]: Taking taylor expansion of f in f 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (- n) into (- n) 3.868 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.868 * [backup-simplify]: Simplify (+ n 0) into n 3.868 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.868 * [taylor]: Taking taylor expansion of -1 in n 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.869 * [backup-simplify]: Simplify (+ 0 1) into 1 3.869 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.869 * [taylor]: Taking taylor expansion of 2 in n 3.869 * [backup-simplify]: Simplify 2 into 2 3.869 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.869 * [taylor]: Taking taylor expansion of n in n 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (/ 1 1) into 1 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.871 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.871 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.871 * [taylor]: Taking taylor expansion of 2 in n 3.871 * [backup-simplify]: Simplify 2 into 2 3.871 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.871 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.871 * [taylor]: Taking taylor expansion of n in n 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (* 1 1) into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.874 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [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))) 3.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.877 * [taylor]: Taking taylor expansion of 2 in n 3.877 * [backup-simplify]: Simplify 2 into 2 3.877 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.877 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.877 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify -1 into -1 3.883 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.883 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.883 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.883 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.883 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.883 * [taylor]: Taking taylor expansion of f in n 3.883 * [backup-simplify]: Simplify f into f 3.883 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.883 * [taylor]: Taking taylor expansion of n in n 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.883 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.883 * [taylor]: Taking taylor expansion of f in n 3.883 * [backup-simplify]: Simplify f into f 3.883 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.883 * [taylor]: Taking taylor expansion of n in n 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify (- 1) into -1 3.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.884 * [backup-simplify]: Simplify (+ 0 1) into 1 3.885 * [backup-simplify]: Simplify (/ -1 1) into -1 3.885 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.885 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.885 * [taylor]: Taking taylor expansion of f in f 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.885 * [taylor]: Taking taylor expansion of n in f 3.885 * [backup-simplify]: Simplify n into n 3.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.885 * [taylor]: Taking taylor expansion of f in f 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.885 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.885 * [taylor]: Taking taylor expansion of n in f 3.885 * [backup-simplify]: Simplify n into n 3.885 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.886 * [backup-simplify]: Simplify (+ 1 0) into 1 3.886 * [backup-simplify]: Simplify (+ 1 0) into 1 3.886 * [backup-simplify]: Simplify (/ 1 1) into 1 3.886 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.886 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.886 * [taylor]: Taking taylor expansion of f in f 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.887 * [taylor]: Taking taylor expansion of n in f 3.887 * [backup-simplify]: Simplify n into n 3.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.887 * [taylor]: Taking taylor expansion of f in f 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.887 * [taylor]: Taking taylor expansion of n in f 3.887 * [backup-simplify]: Simplify n into n 3.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.887 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (/ 1 1) into 1 3.888 * [taylor]: Taking taylor expansion of 1 in n 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.889 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.889 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.889 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.889 * [taylor]: Taking taylor expansion of 2 in n 3.889 * [backup-simplify]: Simplify 2 into 2 3.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.889 * [taylor]: Taking taylor expansion of n in n 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.890 * [backup-simplify]: Simplify (/ 1 1) into 1 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.892 * [backup-simplify]: Simplify (- 0) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.893 * [taylor]: Taking taylor expansion of 2 in n 3.893 * [backup-simplify]: Simplify 2 into 2 3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.893 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.893 * [taylor]: Taking taylor expansion of n in n 3.893 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [backup-simplify]: Simplify (* 1 1) into 1 3.894 * [backup-simplify]: Simplify (/ 1 1) into 1 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.898 * [backup-simplify]: Simplify (- 0) into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.899 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.901 * [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)))) 3.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.901 * [taylor]: Taking taylor expansion of 2 in n 3.901 * [backup-simplify]: Simplify 2 into 2 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.901 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.901 * [taylor]: Taking taylor expansion of n in n 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (* 1 1) into 1 3.902 * [backup-simplify]: Simplify (* 1 1) into 1 3.902 * [backup-simplify]: Simplify (/ 1 1) into 1 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.907 * [backup-simplify]: Simplify (- 0) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.908 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.908 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.908 * [taylor]: Taking taylor expansion of -1 in n 3.908 * [backup-simplify]: Simplify -1 into -1 3.908 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.908 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.908 * [taylor]: Taking taylor expansion of n in n 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (/ 1 1) into 1 3.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.908 * [taylor]: Taking taylor expansion of f in n 3.908 * [backup-simplify]: Simplify f into f 3.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.908 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.908 * [taylor]: Taking taylor expansion of f in n 3.908 * [backup-simplify]: Simplify f into f 3.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.908 * [taylor]: Taking taylor expansion of n in n 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (/ 1 1) into 1 3.909 * [backup-simplify]: Simplify (+ 1 0) into 1 3.909 * [backup-simplify]: Simplify (+ 0 1) into 1 3.909 * [backup-simplify]: Simplify (/ 1 1) into 1 3.909 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.909 * [taylor]: Taking taylor expansion of -1 in f 3.909 * [backup-simplify]: Simplify -1 into -1 3.909 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.909 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.909 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.909 * [taylor]: Taking taylor expansion of n in f 3.909 * [backup-simplify]: Simplify n into n 3.909 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.909 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.909 * [taylor]: Taking taylor expansion of f in f 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (/ 1 1) into 1 3.910 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.910 * [taylor]: Taking taylor expansion of f in f 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (/ 1 1) into 1 3.910 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.910 * [taylor]: Taking taylor expansion of n in f 3.910 * [backup-simplify]: Simplify n into n 3.910 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.910 * [backup-simplify]: Simplify (- 1) into -1 3.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.911 * [backup-simplify]: Simplify (+ 1 0) into 1 3.911 * [backup-simplify]: Simplify (/ -1 1) into -1 3.911 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.911 * [taylor]: Taking taylor expansion of -1 in f 3.911 * [backup-simplify]: Simplify -1 into -1 3.911 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.911 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.911 * [taylor]: Taking taylor expansion of n in f 3.911 * [backup-simplify]: Simplify n into n 3.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.911 * [taylor]: Taking taylor expansion of f in f 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.912 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.912 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.912 * [taylor]: Taking taylor expansion of f in f 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.912 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.912 * [taylor]: Taking taylor expansion of n in f 3.912 * [backup-simplify]: Simplify n into n 3.912 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.912 * [backup-simplify]: Simplify (- 1) into -1 3.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.913 * [backup-simplify]: Simplify (+ 1 0) into 1 3.913 * [backup-simplify]: Simplify (/ -1 1) into -1 3.913 * [backup-simplify]: Simplify (* -1 -1) into 1 3.913 * [taylor]: Taking taylor expansion of 1 in n 3.913 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (- 0) into 0 3.914 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.915 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.915 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.915 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.915 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.915 * [taylor]: Taking taylor expansion of 2 in n 3.915 * [backup-simplify]: Simplify 2 into 2 3.915 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.915 * [taylor]: Taking taylor expansion of n in n 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.917 * [backup-simplify]: Simplify (- 0) into 0 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (- 0) into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.920 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.920 * [taylor]: Taking taylor expansion of 2 in n 3.920 * [backup-simplify]: Simplify 2 into 2 3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.920 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.920 * [taylor]: Taking taylor expansion of n in n 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (* 1 1) into 1 3.921 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.923 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.925 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.930 * [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))) 3.931 * [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)))) 3.931 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.931 * [taylor]: Taking taylor expansion of 2 in n 3.931 * [backup-simplify]: Simplify 2 into 2 3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.931 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.931 * [taylor]: Taking taylor expansion of n in n 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (- 0) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.942 * [backup-simplify]: Simplify 1 into 1 3.942 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.943 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 3.943 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.943 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.943 * [taylor]: Taking taylor expansion of -1 in n 3.943 * [backup-simplify]: Simplify -1 into -1 3.943 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.943 * [taylor]: Taking taylor expansion of (+ n f) in n 3.943 * [taylor]: Taking taylor expansion of n in n 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [taylor]: Taking taylor expansion of f in n 3.943 * [backup-simplify]: Simplify f into f 3.943 * [taylor]: Taking taylor expansion of (- f n) in n 3.943 * [taylor]: Taking taylor expansion of f in n 3.943 * [backup-simplify]: Simplify f into f 3.943 * [taylor]: Taking taylor expansion of n in n 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (+ 0 f) into f 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ f 0) into f 3.944 * [backup-simplify]: Simplify (/ f f) into 1 3.944 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.944 * [taylor]: Taking taylor expansion of -1 in f 3.944 * [backup-simplify]: Simplify -1 into -1 3.944 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.944 * [taylor]: Taking taylor expansion of (+ n f) in f 3.944 * [taylor]: Taking taylor expansion of n in f 3.944 * [backup-simplify]: Simplify n into n 3.944 * [taylor]: Taking taylor expansion of f in f 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [taylor]: Taking taylor expansion of (- f n) in f 3.944 * [taylor]: Taking taylor expansion of f in f 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.944 * [taylor]: Taking taylor expansion of n in f 3.944 * [backup-simplify]: Simplify n into n 3.945 * [backup-simplify]: Simplify (+ n 0) into n 3.945 * [backup-simplify]: Simplify (- n) into (- n) 3.945 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.945 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.945 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.945 * [taylor]: Taking taylor expansion of -1 in f 3.945 * [backup-simplify]: Simplify -1 into -1 3.945 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.945 * [taylor]: Taking taylor expansion of (+ n f) in f 3.945 * [taylor]: Taking taylor expansion of n in f 3.945 * [backup-simplify]: Simplify n into n 3.945 * [taylor]: Taking taylor expansion of f in f 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of (- f n) in f 3.945 * [taylor]: Taking taylor expansion of f in f 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of n in f 3.945 * [backup-simplify]: Simplify n into n 3.945 * [backup-simplify]: Simplify (+ n 0) into n 3.945 * [backup-simplify]: Simplify (- n) into (- n) 3.945 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.945 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.946 * [backup-simplify]: Simplify (* -1 -1) into 1 3.946 * [taylor]: Taking taylor expansion of 1 in n 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (+ 0 1) into 1 3.947 * [backup-simplify]: Simplify (- 0) into 0 3.947 * [backup-simplify]: Simplify (+ 1 0) into 1 3.947 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.948 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.948 * [taylor]: Taking taylor expansion of 2 in n 3.948 * [backup-simplify]: Simplify 2 into 2 3.948 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.948 * [taylor]: Taking taylor expansion of n in n 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (/ 1 1) into 1 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [backup-simplify]: Simplify (- 0) into 0 3.952 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.953 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.953 * [taylor]: Taking taylor expansion of 2 in n 3.953 * [backup-simplify]: Simplify 2 into 2 3.953 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.953 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.953 * [taylor]: Taking taylor expansion of n in n 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (* 1 1) into 1 3.954 * [backup-simplify]: Simplify (/ 1 1) into 1 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (- 0) into 0 3.966 * [backup-simplify]: Simplify (+ 0 0) into 0 3.967 * [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)))) 3.969 * [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))) 3.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.969 * [taylor]: Taking taylor expansion of 2 in n 3.969 * [backup-simplify]: Simplify 2 into 2 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.969 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.969 * [taylor]: Taking taylor expansion of n in n 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.979 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.979 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.979 * [taylor]: Taking taylor expansion of -1 in n 3.979 * [backup-simplify]: Simplify -1 into -1 3.979 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.979 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.979 * [taylor]: Taking taylor expansion of f in n 3.979 * [backup-simplify]: Simplify f into f 3.979 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.979 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.979 * [taylor]: Taking taylor expansion of n in n 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (/ 1 1) into 1 3.980 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.980 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.980 * [taylor]: Taking taylor expansion of f in n 3.980 * [backup-simplify]: Simplify f into f 3.980 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.980 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.980 * [taylor]: Taking taylor expansion of n in n 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [backup-simplify]: Simplify (+ 0 1) into 1 3.981 * [backup-simplify]: Simplify (- 1) into -1 3.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.982 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.982 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.982 * [taylor]: Taking taylor expansion of -1 in f 3.982 * [backup-simplify]: Simplify -1 into -1 3.982 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.982 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.982 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.982 * [taylor]: Taking taylor expansion of f in f 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.983 * [taylor]: Taking taylor expansion of n in f 3.983 * [backup-simplify]: Simplify n into n 3.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.983 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.983 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.983 * [taylor]: Taking taylor expansion of f in f 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.983 * [taylor]: Taking taylor expansion of n in f 3.983 * [backup-simplify]: Simplify n into n 3.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.984 * [backup-simplify]: Simplify (+ 1 0) into 1 3.984 * [backup-simplify]: Simplify (+ 1 0) into 1 3.985 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.985 * [taylor]: Taking taylor expansion of -1 in f 3.985 * [backup-simplify]: Simplify -1 into -1 3.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.985 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.985 * [taylor]: Taking taylor expansion of f in f 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.985 * [taylor]: Taking taylor expansion of n in f 3.985 * [backup-simplify]: Simplify n into n 3.985 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.985 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.985 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.985 * [taylor]: Taking taylor expansion of f in f 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (/ 1 1) into 1 3.986 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.986 * [taylor]: Taking taylor expansion of n in f 3.986 * [backup-simplify]: Simplify n into n 3.986 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.986 * [backup-simplify]: Simplify (+ 1 0) into 1 3.987 * [backup-simplify]: Simplify (+ 1 0) into 1 3.987 * [backup-simplify]: Simplify (/ 1 1) into 1 3.988 * [backup-simplify]: Simplify (* -1 1) into -1 3.988 * [taylor]: Taking taylor expansion of -1 in n 3.988 * [backup-simplify]: Simplify -1 into -1 3.988 * [backup-simplify]: Simplify -1 into -1 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.989 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.990 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.990 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.990 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.990 * [taylor]: Taking taylor expansion of 2 in n 3.990 * [backup-simplify]: Simplify 2 into 2 3.990 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.990 * [taylor]: Taking taylor expansion of n in n 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.992 * [backup-simplify]: Simplify (- 0) into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.997 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.997 * [taylor]: Taking taylor expansion of 2 in n 3.997 * [backup-simplify]: Simplify 2 into 2 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.998 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.998 * [taylor]: Taking taylor expansion of n in n 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.003 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.008 * [backup-simplify]: Simplify (- 0) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [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))) 4.011 * [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)))) 4.011 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.011 * [taylor]: Taking taylor expansion of 2 in n 4.011 * [backup-simplify]: Simplify 2 into 2 4.011 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (- 0) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify -1 into -1 4.022 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.022 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.022 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.022 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.022 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.022 * [taylor]: Taking taylor expansion of f in n 4.022 * [backup-simplify]: Simplify f into f 4.022 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.022 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.022 * [taylor]: Taking taylor expansion of n in n 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.023 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.023 * [taylor]: Taking taylor expansion of n in n 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.023 * [taylor]: Taking taylor expansion of f in n 4.023 * [backup-simplify]: Simplify f into f 4.023 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.024 * [backup-simplify]: Simplify (+ 0 1) into 1 4.024 * [backup-simplify]: Simplify (+ 1 0) into 1 4.024 * [backup-simplify]: Simplify (/ 1 1) into 1 4.024 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.024 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.024 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.025 * [taylor]: Taking taylor expansion of f in f 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.025 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.025 * [taylor]: Taking taylor expansion of n in f 4.025 * [backup-simplify]: Simplify n into n 4.025 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.025 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.025 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.025 * [taylor]: Taking taylor expansion of n in f 4.025 * [backup-simplify]: Simplify n into n 4.025 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.025 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.025 * [taylor]: Taking taylor expansion of f in f 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [backup-simplify]: Simplify (+ 1 0) into 1 4.026 * [backup-simplify]: Simplify (- 1) into -1 4.027 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.027 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.027 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.027 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.027 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.027 * [taylor]: Taking taylor expansion of f in f 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (/ 1 1) into 1 4.028 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.028 * [taylor]: Taking taylor expansion of n in f 4.028 * [backup-simplify]: Simplify n into n 4.028 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.028 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.028 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.028 * [taylor]: Taking taylor expansion of n in f 4.028 * [backup-simplify]: Simplify n into n 4.028 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.028 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.028 * [taylor]: Taking taylor expansion of f in f 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (/ 1 1) into 1 4.029 * [backup-simplify]: Simplify (+ 1 0) into 1 4.029 * [backup-simplify]: Simplify (- 1) into -1 4.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.030 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.030 * [taylor]: Taking taylor expansion of -1 in n 4.030 * [backup-simplify]: Simplify -1 into -1 4.030 * [backup-simplify]: Simplify -1 into -1 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.032 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.033 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.033 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.033 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.033 * [taylor]: Taking taylor expansion of 2 in n 4.033 * [backup-simplify]: Simplify 2 into 2 4.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.033 * [taylor]: Taking taylor expansion of n in n 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.036 * [backup-simplify]: Simplify (+ 0 0) into 0 4.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (- 0) into 0 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.039 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.039 * [taylor]: Taking taylor expansion of 2 in n 4.039 * [backup-simplify]: Simplify 2 into 2 4.039 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.039 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.039 * [taylor]: Taking taylor expansion of n in n 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (* 1 1) into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (- 0) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [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)))) 4.052 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.052 * [taylor]: Taking taylor expansion of 2 in n 4.052 * [backup-simplify]: Simplify 2 into 2 4.052 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.052 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.052 * [taylor]: Taking taylor expansion of n in n 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (- 0) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify -1 into -1 4.063 * * * [progress]: simplifying candidates 4.076 * [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 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n)) (cbrt (+ f n))))) (/ (- 1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (- 1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (- 1) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (- 1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- 1) (/ 1 (sqrt (+ f n)))) (/ (- 1) (/ 1 1)) (/ (- 1) (/ 1 1)) (/ (- 1) 1) (/ (- 1) (- f n)) (/ (- 1) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (- 1) (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt (- 1))) (/ (/ (- f n) (+ f n)) (sqrt (- 1))) (/ (/ (- f n) (+ f n)) (- 1)) (/ (/ (- f n) (+ f n)) 1) (/ (/ (- f n) (+ f n)) (cbrt 1)) (/ (/ (- f n) (+ f n)) (sqrt 1)) (/ (/ (- f n) (+ f n)) 1) (/ (/ (- f n) (+ f n)) (- (cbrt 1))) (/ (/ (- f n) (+ f n)) (- (sqrt 1))) (/ (/ (- f n) (+ f n)) (- 1)) (/ (- 1) (- f n)) -1 1 1 1 -1 -1 4.091 * * [simplify]: Extracting # 0 : cost 0 4.092 * * [simplify]: Extracting # 1 : cost 0 4.093 * * [simplify]: Extracting # 2 : cost 0 4.093 * * [simplify]: Extracting # 3 : cost 0 4.098 * * [simplify]: Extracting # 4 : cost 0 4.099 * * [simplify]: Extracting # 5 : cost 0 4.100 * * [simplify]: Extracting # 6 : cost 0 4.101 * * [simplify]: Extracting # 7 : cost 0 4.101 * * [simplify]: iteration 0 : 402 enodes (cost 7547 ) 4.297 * * [simplify]: Extracting # 0 : cost 0 4.300 * * [simplify]: Extracting # 1 : cost 0 4.302 * * [simplify]: Extracting # 2 : cost 0 4.304 * * [simplify]: Extracting # 3 : cost 0 4.305 * * [simplify]: Extracting # 4 : cost 0 4.306 * * [simplify]: iteration 1 : 985 enodes (cost 6221 ) 4.625 * * [simplify]: Extracting # 0 : cost 0 4.629 * * [simplify]: Extracting # 1 : cost 0 4.636 * * [simplify]: Extracting # 2 : cost 0 4.638 * * [simplify]: Extracting # 3 : cost 0 4.641 * * [simplify]: iteration 2 : 2440 enodes (cost 5842 ) 6.100 * * [simplify]: Extracting # 0 : cost 0 6.106 * * [simplify]: Extracting # 1 : cost 0 6.112 * * [simplify]: Extracting # 2 : cost 0 6.119 * * [simplify]: Extracting # 3 : cost 0 6.128 * * [simplify]: Extracting # 4 : cost 0 6.134 * * [simplify]: iteration done: 5001 enodes (cost 5762 ) 6.136 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- n f) (- (+ 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))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (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)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) 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(- f 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)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (+ (pow f 3) (pow n 3)) (- f n)) (/ -1 (fma f f (* n (- n f)))) (/ (- (* f f) (* n n)) (- f n)) (/ -1 (- f n)) (/ (+ f n) (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (- (/ (+ (pow f 3) (pow n 3)) (- f n))) (/ (* (- n f) (+ f n)) (- f n)) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) -1 1 1 1 -1 -1 6.139 * * * [progress]: adding candidates to table 6.770 * * [progress]: iteration 3 / 4 6.770 * * * [progress]: picking best candidate 6.776 * * * * [pick]: Picked # 6.776 * * * [progress]: localizing error 6.788 * * * [progress]: generating rewritten candidates 6.788 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.897 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 6.909 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.027 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.108 * * * [progress]: generating series expansions 7.108 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.109 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 7.109 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 7.109 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 7.109 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.109 * [taylor]: Taking taylor expansion of f in n 7.109 * [backup-simplify]: Simplify f into f 7.109 * [taylor]: Taking taylor expansion of (+ n f) in n 7.109 * [taylor]: Taking taylor expansion of n in n 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [taylor]: Taking taylor expansion of f in n 7.109 * [backup-simplify]: Simplify f into f 7.109 * [backup-simplify]: Simplify (+ 0 f) into f 7.109 * [backup-simplify]: Simplify (/ f f) into 1 7.109 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.109 * [taylor]: Taking taylor expansion of n in n 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [taylor]: Taking taylor expansion of (+ n f) in n 7.109 * [taylor]: Taking taylor expansion of n in n 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [taylor]: Taking taylor expansion of f in n 7.109 * [backup-simplify]: Simplify f into f 7.109 * [backup-simplify]: Simplify (+ 0 f) into f 7.109 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.109 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.109 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.109 * [taylor]: Taking taylor expansion of f in f 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [taylor]: Taking taylor expansion of (+ n f) in f 7.109 * [taylor]: Taking taylor expansion of n in f 7.109 * [backup-simplify]: Simplify n into n 7.109 * [taylor]: Taking taylor expansion of f in f 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (+ n 0) into n 7.109 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.109 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.109 * [taylor]: Taking taylor expansion of n in f 7.109 * [backup-simplify]: Simplify n into n 7.109 * [taylor]: Taking taylor expansion of (+ n f) in f 7.109 * [taylor]: Taking taylor expansion of n in f 7.109 * [backup-simplify]: Simplify n into n 7.110 * [taylor]: Taking taylor expansion of f in f 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [backup-simplify]: Simplify (+ n 0) into n 7.110 * [backup-simplify]: Simplify (/ n n) into 1 7.110 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.110 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.110 * [taylor]: Taking taylor expansion of f in f 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [taylor]: Taking taylor expansion of (+ n f) in f 7.110 * [taylor]: Taking taylor expansion of n in f 7.110 * [backup-simplify]: Simplify n into n 7.110 * [taylor]: Taking taylor expansion of f in f 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [backup-simplify]: Simplify (+ n 0) into n 7.110 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.110 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.110 * [taylor]: Taking taylor expansion of n in f 7.110 * [backup-simplify]: Simplify n into n 7.110 * [taylor]: Taking taylor expansion of (+ n f) in f 7.110 * [taylor]: Taking taylor expansion of n in f 7.110 * [backup-simplify]: Simplify n into n 7.110 * [taylor]: Taking taylor expansion of f in f 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [backup-simplify]: Simplify (+ n 0) into n 7.110 * [backup-simplify]: Simplify (/ n n) into 1 7.111 * [backup-simplify]: Simplify (- 1) into -1 7.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.111 * [taylor]: Taking taylor expansion of -1 in n 7.111 * [backup-simplify]: Simplify -1 into -1 7.111 * [backup-simplify]: Simplify -1 into -1 7.111 * [backup-simplify]: Simplify (+ 0 1) into 1 7.111 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 7.111 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 7.111 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.111 * [taylor]: Taking taylor expansion of 2 in n 7.112 * [backup-simplify]: Simplify 2 into 2 7.112 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.112 * [taylor]: Taking taylor expansion of n in n 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ 1 1) into 1 7.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (+ 0 1) into 1 7.113 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.113 * [backup-simplify]: Simplify (+ 0 0) into 0 7.113 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 7.114 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 7.114 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.114 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.114 * [taylor]: Taking taylor expansion of 2 in n 7.114 * [backup-simplify]: Simplify 2 into 2 7.114 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.114 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.114 * [taylor]: Taking taylor expansion of n in n 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [backup-simplify]: Simplify (* 1 1) into 1 7.115 * [backup-simplify]: Simplify (/ 1 1) into 1 7.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.117 * [backup-simplify]: Simplify (- 0) into 0 7.117 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (+ 0 0) into 0 7.119 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.119 * [backup-simplify]: Simplify (+ 0 0) into 0 7.119 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 7.119 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 7.120 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.120 * [taylor]: Taking taylor expansion of 2 in n 7.120 * [backup-simplify]: Simplify 2 into 2 7.120 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.120 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.120 * [taylor]: Taking taylor expansion of n in n 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [backup-simplify]: Simplify (* 1 1) into 1 7.121 * [backup-simplify]: Simplify (* 1 1) into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify -1 into -1 7.130 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 7.130 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 7.130 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.130 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.130 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.130 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.130 * [taylor]: Taking taylor expansion of f in n 7.130 * [backup-simplify]: Simplify f into f 7.130 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.130 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.130 * [taylor]: Taking taylor expansion of n in n 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ 1 1) into 1 7.131 * [taylor]: Taking taylor expansion of f in n 7.131 * [backup-simplify]: Simplify f into f 7.131 * [backup-simplify]: Simplify (+ 0 1) into 1 7.131 * [backup-simplify]: Simplify (* 1 f) into f 7.131 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.131 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.131 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.131 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.132 * [taylor]: Taking taylor expansion of f in n 7.132 * [backup-simplify]: Simplify f into f 7.132 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.132 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.132 * [taylor]: Taking taylor expansion of n in n 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (/ 1 1) into 1 7.132 * [taylor]: Taking taylor expansion of n in n 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (+ 0 1) into 1 7.133 * [backup-simplify]: Simplify (* 1 0) into 0 7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.133 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.134 * [backup-simplify]: Simplify (/ 1 1) into 1 7.134 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.134 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.134 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.134 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.134 * [taylor]: Taking taylor expansion of f in f 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (/ 1 1) into 1 7.134 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.134 * [taylor]: Taking taylor expansion of n in f 7.134 * [backup-simplify]: Simplify n into n 7.134 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.134 * [taylor]: Taking taylor expansion of f in f 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (+ 1 0) into 1 7.135 * [backup-simplify]: Simplify (* 1 0) into 0 7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.135 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.136 * [backup-simplify]: Simplify (/ 1 1) into 1 7.136 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.136 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.136 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.136 * [taylor]: Taking taylor expansion of f in f 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (/ 1 1) into 1 7.136 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.136 * [taylor]: Taking taylor expansion of n in f 7.136 * [backup-simplify]: Simplify n into n 7.136 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.136 * [taylor]: Taking taylor expansion of n in f 7.136 * [backup-simplify]: Simplify n into n 7.136 * [backup-simplify]: Simplify (+ 1 0) into 1 7.136 * [backup-simplify]: Simplify (* 1 n) into n 7.136 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.136 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.136 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.137 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.137 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.137 * [taylor]: Taking taylor expansion of f in f 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (/ 1 1) into 1 7.137 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.137 * [taylor]: Taking taylor expansion of n in f 7.137 * [backup-simplify]: Simplify n into n 7.137 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.137 * [taylor]: Taking taylor expansion of f in f 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (+ 1 0) into 1 7.138 * [backup-simplify]: Simplify (* 1 0) into 0 7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.138 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.138 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.139 * [backup-simplify]: Simplify (/ 1 1) into 1 7.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.139 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.139 * [taylor]: Taking taylor expansion of f in f 7.139 * [backup-simplify]: Simplify 0 into 0 7.139 * [backup-simplify]: Simplify 1 into 1 7.139 * [backup-simplify]: Simplify (/ 1 1) into 1 7.139 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.139 * [taylor]: Taking taylor expansion of n in f 7.139 * [backup-simplify]: Simplify n into n 7.139 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.139 * [taylor]: Taking taylor expansion of n in f 7.139 * [backup-simplify]: Simplify n into n 7.140 * [backup-simplify]: Simplify (+ 1 0) into 1 7.140 * [backup-simplify]: Simplify (* 1 n) into n 7.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.140 * [backup-simplify]: Simplify (+ 1 0) into 1 7.140 * [taylor]: Taking taylor expansion of 1 in n 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.141 * [backup-simplify]: Simplify (+ 0 0) into 0 7.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.142 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.142 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.142 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.142 * [taylor]: Taking taylor expansion of 2 in n 7.142 * [backup-simplify]: Simplify 2 into 2 7.142 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.142 * [taylor]: Taking taylor expansion of n in n 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.143 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.143 * [backup-simplify]: Simplify (- 0) into 0 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.144 * [backup-simplify]: Simplify (+ 0 0) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.146 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.147 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.147 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.147 * [taylor]: Taking taylor expansion of 2 in n 7.147 * [backup-simplify]: Simplify 2 into 2 7.147 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.147 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.147 * [taylor]: Taking taylor expansion of n in n 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [backup-simplify]: Simplify (* 1 1) into 1 7.147 * [backup-simplify]: Simplify (/ 1 1) into 1 7.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.151 * [backup-simplify]: Simplify (- 0) into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.152 * [backup-simplify]: Simplify (+ 0 0) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.154 * [backup-simplify]: Simplify (+ 0 0) into 0 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.155 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.155 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.155 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.155 * [taylor]: Taking taylor expansion of 2 in n 7.155 * [backup-simplify]: Simplify 2 into 2 7.155 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.156 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.156 * [taylor]: Taking taylor expansion of n in n 7.156 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify 1 into 1 7.156 * [backup-simplify]: Simplify (* 1 1) into 1 7.156 * [backup-simplify]: Simplify (* 1 1) into 1 7.156 * [backup-simplify]: Simplify (/ 1 1) into 1 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (- 0) into 0 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 7.168 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 7.168 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.168 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.168 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.168 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.168 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.168 * [taylor]: Taking taylor expansion of f in n 7.168 * [backup-simplify]: Simplify f into f 7.168 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.168 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.168 * [taylor]: Taking taylor expansion of n in n 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.169 * [backup-simplify]: Simplify (/ 1 1) into 1 7.169 * [taylor]: Taking taylor expansion of f in n 7.169 * [backup-simplify]: Simplify f into f 7.169 * [backup-simplify]: Simplify (+ 0 1) into 1 7.169 * [backup-simplify]: Simplify (* 1 f) into f 7.169 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.169 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.169 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.169 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.169 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.169 * [taylor]: Taking taylor expansion of f in n 7.169 * [backup-simplify]: Simplify f into f 7.169 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.169 * [taylor]: Taking taylor expansion of n in n 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify 1 into 1 7.169 * [backup-simplify]: Simplify (/ 1 1) into 1 7.170 * [taylor]: Taking taylor expansion of n in n 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [backup-simplify]: Simplify (+ 0 1) into 1 7.170 * [backup-simplify]: Simplify (* 1 0) into 0 7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.171 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.171 * [backup-simplify]: Simplify (/ 1 1) into 1 7.171 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.171 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.171 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.171 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.171 * [taylor]: Taking taylor expansion of f in f 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (/ 1 1) into 1 7.171 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.171 * [taylor]: Taking taylor expansion of n in f 7.171 * [backup-simplify]: Simplify n into n 7.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.172 * [taylor]: Taking taylor expansion of f in f 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [backup-simplify]: Simplify (+ 1 0) into 1 7.172 * [backup-simplify]: Simplify (* 1 0) into 0 7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.173 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.173 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.173 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.173 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.173 * [taylor]: Taking taylor expansion of f in f 7.173 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (/ 1 1) into 1 7.173 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.173 * [taylor]: Taking taylor expansion of n in f 7.173 * [backup-simplify]: Simplify n into n 7.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.174 * [taylor]: Taking taylor expansion of n in f 7.174 * [backup-simplify]: Simplify n into n 7.174 * [backup-simplify]: Simplify (+ 1 0) into 1 7.174 * [backup-simplify]: Simplify (* 1 n) into n 7.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.174 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.174 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.174 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.174 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.174 * [taylor]: Taking taylor expansion of f in f 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.174 * [backup-simplify]: Simplify (/ 1 1) into 1 7.174 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.174 * [taylor]: Taking taylor expansion of n in f 7.174 * [backup-simplify]: Simplify n into n 7.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.174 * [taylor]: Taking taylor expansion of f in f 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (+ 1 0) into 1 7.175 * [backup-simplify]: Simplify (* 1 0) into 0 7.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.175 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.176 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.176 * [backup-simplify]: Simplify (/ 1 1) into 1 7.176 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.176 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.176 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.176 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.176 * [taylor]: Taking taylor expansion of f in f 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.177 * [backup-simplify]: Simplify (/ 1 1) into 1 7.177 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.177 * [taylor]: Taking taylor expansion of n in f 7.177 * [backup-simplify]: Simplify n into n 7.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.177 * [taylor]: Taking taylor expansion of n in f 7.177 * [backup-simplify]: Simplify n into n 7.177 * [backup-simplify]: Simplify (+ 1 0) into 1 7.177 * [backup-simplify]: Simplify (* 1 n) into n 7.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.178 * [backup-simplify]: Simplify (+ 1 0) into 1 7.178 * [taylor]: Taking taylor expansion of 1 in n 7.178 * [backup-simplify]: Simplify 1 into 1 7.178 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.179 * [backup-simplify]: Simplify (+ 0 0) into 0 7.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.180 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.180 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.180 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.180 * [taylor]: Taking taylor expansion of 2 in n 7.181 * [backup-simplify]: Simplify 2 into 2 7.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.181 * [taylor]: Taking taylor expansion of n in n 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (/ 1 1) into 1 7.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.182 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.183 * [backup-simplify]: Simplify (- 0) into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.184 * [backup-simplify]: Simplify (+ 0 0) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.187 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.188 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.188 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.188 * [taylor]: Taking taylor expansion of 2 in n 7.188 * [backup-simplify]: Simplify 2 into 2 7.188 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.188 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.188 * [taylor]: Taking taylor expansion of n in n 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.189 * [backup-simplify]: Simplify (* 1 1) into 1 7.189 * [backup-simplify]: Simplify (/ 1 1) into 1 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.193 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.195 * [backup-simplify]: Simplify (- 0) into 0 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.196 * [backup-simplify]: Simplify (+ 0 0) into 0 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.200 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.201 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.202 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.202 * [taylor]: Taking taylor expansion of 2 in n 7.202 * [backup-simplify]: Simplify 2 into 2 7.202 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.202 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.202 * [taylor]: Taking taylor expansion of n in n 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (* 1 1) into 1 7.202 * [backup-simplify]: Simplify (* 1 1) into 1 7.203 * [backup-simplify]: Simplify (/ 1 1) into 1 7.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (- 0) into 0 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.211 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 7.212 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 7.212 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 7.212 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.212 * [taylor]: Taking taylor expansion of n in f 7.212 * [backup-simplify]: Simplify n into n 7.212 * [taylor]: Taking taylor expansion of (+ n f) in f 7.212 * [taylor]: Taking taylor expansion of n in f 7.212 * [backup-simplify]: Simplify n into n 7.212 * [taylor]: Taking taylor expansion of f in f 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (+ n 0) into n 7.212 * [backup-simplify]: Simplify (/ n n) into 1 7.212 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.212 * [taylor]: Taking taylor expansion of n in n 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of (+ n f) in n 7.212 * [taylor]: Taking taylor expansion of n in n 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of f in n 7.212 * [backup-simplify]: Simplify f into f 7.212 * [backup-simplify]: Simplify (+ 0 f) into f 7.212 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.213 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.213 * [taylor]: Taking taylor expansion of n in n 7.213 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify 1 into 1 7.213 * [taylor]: Taking taylor expansion of (+ n f) in n 7.213 * [taylor]: Taking taylor expansion of n in n 7.213 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify 1 into 1 7.213 * [taylor]: Taking taylor expansion of f in n 7.213 * [backup-simplify]: Simplify f into f 7.213 * [backup-simplify]: Simplify (+ 0 f) into f 7.213 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.213 * [taylor]: Taking taylor expansion of f in f 7.213 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify 1 into 1 7.214 * [backup-simplify]: Simplify (/ 1 1) into 1 7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify (+ 1 0) into 1 7.215 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 7.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 7.215 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.215 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.215 * [taylor]: Taking taylor expansion of f in f 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (* 1 1) into 1 7.216 * [backup-simplify]: Simplify (/ 1 1) into 1 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.219 * [backup-simplify]: Simplify (- 0) into 0 7.219 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify (+ 0 0) into 0 7.221 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 7.221 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 7.221 * [taylor]: Taking taylor expansion of (pow f 3) in f 7.221 * [taylor]: Taking taylor expansion of f in f 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (* 1 1) into 1 7.221 * [backup-simplify]: Simplify (* 1 1) into 1 7.221 * [backup-simplify]: Simplify (/ 1 1) into 1 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (- 0) into 0 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 7.228 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 7.228 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.228 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.228 * [taylor]: Taking taylor expansion of f in f 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (/ 1 1) into 1 7.229 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.229 * [taylor]: Taking taylor expansion of n in f 7.229 * [backup-simplify]: Simplify n into n 7.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.229 * [taylor]: Taking taylor expansion of n in f 7.229 * [backup-simplify]: Simplify n into n 7.229 * [backup-simplify]: Simplify (+ 1 0) into 1 7.229 * [backup-simplify]: Simplify (* 1 n) into n 7.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.229 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.229 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.229 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.229 * [taylor]: Taking taylor expansion of f in n 7.229 * [backup-simplify]: Simplify f into f 7.229 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.229 * [taylor]: Taking taylor expansion of n in n 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (/ 1 1) into 1 7.230 * [taylor]: Taking taylor expansion of n in n 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (+ 0 1) into 1 7.230 * [backup-simplify]: Simplify (* 1 0) into 0 7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.231 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.231 * [backup-simplify]: Simplify (/ 1 1) into 1 7.231 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.231 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.231 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.231 * [taylor]: Taking taylor expansion of f in n 7.231 * [backup-simplify]: Simplify f into f 7.231 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.231 * [taylor]: Taking taylor expansion of n in n 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.232 * [taylor]: Taking taylor expansion of n in n 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (+ 0 1) into 1 7.232 * [backup-simplify]: Simplify (* 1 0) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.233 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.233 * [backup-simplify]: Simplify (/ 1 1) into 1 7.233 * [taylor]: Taking taylor expansion of 1 in f 7.233 * [backup-simplify]: Simplify 1 into 1 7.233 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (+ 0 0) into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 7.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 7.235 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 7.235 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.235 * [taylor]: Taking taylor expansion of f in f 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (- 0) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.237 * [backup-simplify]: Simplify (+ 0 0) into 0 7.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 7.239 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.239 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.239 * [taylor]: Taking taylor expansion of f in f 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.239 * [backup-simplify]: Simplify (* 1 1) into 1 7.239 * [backup-simplify]: Simplify (/ 1 1) into 1 7.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.243 * [backup-simplify]: Simplify (- 0) into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 7.243 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 7.243 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.243 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.243 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.243 * [taylor]: Taking taylor expansion of f in f 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 1 into 1 7.243 * [backup-simplify]: Simplify (/ 1 1) into 1 7.244 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.244 * [taylor]: Taking taylor expansion of n in f 7.244 * [backup-simplify]: Simplify n into n 7.244 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.244 * [taylor]: Taking taylor expansion of n in f 7.244 * [backup-simplify]: Simplify n into n 7.244 * [backup-simplify]: Simplify (+ 1 0) into 1 7.244 * [backup-simplify]: Simplify (* 1 n) into n 7.244 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.244 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.244 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.244 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.244 * [taylor]: Taking taylor expansion of f in n 7.244 * [backup-simplify]: Simplify f into f 7.244 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.244 * [taylor]: Taking taylor expansion of n in n 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.245 * [backup-simplify]: Simplify (/ 1 1) into 1 7.245 * [taylor]: Taking taylor expansion of n in n 7.245 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify 1 into 1 7.245 * [backup-simplify]: Simplify (+ 0 1) into 1 7.245 * [backup-simplify]: Simplify (* 1 0) into 0 7.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.246 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.246 * [backup-simplify]: Simplify (/ 1 1) into 1 7.246 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.246 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.246 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.246 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.246 * [taylor]: Taking taylor expansion of f in n 7.246 * [backup-simplify]: Simplify f into f 7.246 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.246 * [taylor]: Taking taylor expansion of n in n 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (/ 1 1) into 1 7.247 * [taylor]: Taking taylor expansion of n in n 7.247 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (+ 0 1) into 1 7.248 * [backup-simplify]: Simplify (* 1 0) into 0 7.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.248 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.248 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.249 * [backup-simplify]: Simplify (/ 1 1) into 1 7.249 * [taylor]: Taking taylor expansion of 1 in f 7.249 * [backup-simplify]: Simplify 1 into 1 7.249 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 7.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 7.250 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 7.250 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.250 * [taylor]: Taking taylor expansion of f in f 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.251 * [backup-simplify]: Simplify (/ 1 1) into 1 7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.252 * [backup-simplify]: Simplify (- 0) into 0 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 7.254 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 7.254 * [taylor]: Taking taylor expansion of (pow f 2) in f 7.254 * [taylor]: Taking taylor expansion of f in f 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.254 * [backup-simplify]: Simplify (* 1 1) into 1 7.254 * [backup-simplify]: Simplify (/ 1 1) into 1 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.258 * [backup-simplify]: Simplify (- 0) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.259 * [backup-simplify]: Simplify (/ (- 1) (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 7.259 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 7.259 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 7.259 * [taylor]: Taking taylor expansion of -1 in n 7.259 * [backup-simplify]: Simplify -1 into -1 7.259 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 7.259 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.259 * [taylor]: Taking taylor expansion of f in n 7.259 * [backup-simplify]: Simplify f into f 7.259 * [taylor]: Taking taylor expansion of (+ n f) in n 7.259 * [taylor]: Taking taylor expansion of n in n 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [taylor]: Taking taylor expansion of f in n 7.259 * [backup-simplify]: Simplify f into f 7.259 * [backup-simplify]: Simplify (+ 0 f) into f 7.259 * [backup-simplify]: Simplify (/ f f) into 1 7.259 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.259 * [taylor]: Taking taylor expansion of n in n 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [taylor]: Taking taylor expansion of (+ n f) in n 7.259 * [taylor]: Taking taylor expansion of n in n 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [taylor]: Taking taylor expansion of f in n 7.259 * [backup-simplify]: Simplify f into f 7.259 * [backup-simplify]: Simplify (+ 0 f) into f 7.259 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.259 * [backup-simplify]: Simplify (+ 1 0) into 1 7.260 * [backup-simplify]: Simplify (/ -1 1) into -1 7.260 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 7.260 * [taylor]: Taking taylor expansion of -1 in f 7.260 * [backup-simplify]: Simplify -1 into -1 7.260 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.260 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.260 * [taylor]: Taking taylor expansion of f in f 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [taylor]: Taking taylor expansion of (+ n f) in f 7.260 * [taylor]: Taking taylor expansion of n in f 7.260 * [backup-simplify]: Simplify n into n 7.260 * [taylor]: Taking taylor expansion of f in f 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (+ n 0) into n 7.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.260 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.260 * [taylor]: Taking taylor expansion of n in f 7.260 * [backup-simplify]: Simplify n into n 7.260 * [taylor]: Taking taylor expansion of (+ n f) in f 7.260 * [taylor]: Taking taylor expansion of n in f 7.260 * [backup-simplify]: Simplify n into n 7.260 * [taylor]: Taking taylor expansion of f in f 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (+ n 0) into n 7.260 * [backup-simplify]: Simplify (/ n n) into 1 7.260 * [backup-simplify]: Simplify (- 1) into -1 7.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.261 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.261 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 7.261 * [taylor]: Taking taylor expansion of -1 in f 7.261 * [backup-simplify]: Simplify -1 into -1 7.261 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 7.261 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.261 * [taylor]: Taking taylor expansion of f in f 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of (+ n f) in f 7.261 * [taylor]: Taking taylor expansion of n in f 7.261 * [backup-simplify]: Simplify n into n 7.261 * [taylor]: Taking taylor expansion of f in f 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (+ n 0) into n 7.261 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.261 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.261 * [taylor]: Taking taylor expansion of n in f 7.261 * [backup-simplify]: Simplify n into n 7.261 * [taylor]: Taking taylor expansion of (+ n f) in f 7.261 * [taylor]: Taking taylor expansion of n in f 7.261 * [backup-simplify]: Simplify n into n 7.261 * [taylor]: Taking taylor expansion of f in f 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (+ n 0) into n 7.261 * [backup-simplify]: Simplify (/ n n) into 1 7.262 * [backup-simplify]: Simplify (- 1) into -1 7.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.262 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.262 * [taylor]: Taking taylor expansion of 1 in n 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (+ 0 1) into 1 7.263 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 7.263 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 7.263 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.263 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 7.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.263 * [taylor]: Taking taylor expansion of 2 in n 7.263 * [backup-simplify]: Simplify 2 into 2 7.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.263 * [taylor]: Taking taylor expansion of n in n 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (/ 1 1) into 1 7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.264 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (+ 0 1) into 1 7.265 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.265 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 7.265 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 7.266 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.266 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 7.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.266 * [taylor]: Taking taylor expansion of 2 in n 7.266 * [backup-simplify]: Simplify 2 into 2 7.266 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.266 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.266 * [taylor]: Taking taylor expansion of n in n 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (* 1 1) into 1 7.267 * [backup-simplify]: Simplify (/ 1 1) into 1 7.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.269 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify (+ 0 0) into 0 7.271 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.271 * [backup-simplify]: Simplify (+ 0 0) into 0 7.271 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 7.271 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 7.272 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.274 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 7.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.275 * [taylor]: Taking taylor expansion of 2 in n 7.275 * [backup-simplify]: Simplify 2 into 2 7.275 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.275 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.275 * [taylor]: Taking taylor expansion of n in n 7.275 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.275 * [backup-simplify]: Simplify (* 1 1) into 1 7.275 * [backup-simplify]: Simplify (* 1 1) into 1 7.276 * [backup-simplify]: Simplify (/ 1 1) into 1 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.280 * [backup-simplify]: Simplify 0 into 0 7.280 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (/ (- 1) (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 7.281 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 7.281 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 7.281 * [taylor]: Taking taylor expansion of -1 in n 7.281 * [backup-simplify]: Simplify -1 into -1 7.281 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.281 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.281 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.281 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.281 * [taylor]: Taking taylor expansion of f in n 7.281 * [backup-simplify]: Simplify f into f 7.281 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.281 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.281 * [taylor]: Taking taylor expansion of n in n 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.282 * [backup-simplify]: Simplify (/ 1 1) into 1 7.282 * [taylor]: Taking taylor expansion of f in n 7.282 * [backup-simplify]: Simplify f into f 7.282 * [backup-simplify]: Simplify (+ 0 1) into 1 7.282 * [backup-simplify]: Simplify (* 1 f) into f 7.282 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.282 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.282 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.282 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.282 * [taylor]: Taking taylor expansion of f in n 7.282 * [backup-simplify]: Simplify f into f 7.282 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.282 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.282 * [taylor]: Taking taylor expansion of n in n 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify 1 into 1 7.282 * [backup-simplify]: Simplify (/ 1 1) into 1 7.282 * [taylor]: Taking taylor expansion of n in n 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify (+ 0 1) into 1 7.283 * [backup-simplify]: Simplify (* 1 0) into 0 7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.284 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.284 * [backup-simplify]: Simplify (/ 1 1) into 1 7.284 * [backup-simplify]: Simplify (- 1) into -1 7.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.285 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.285 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.285 * [taylor]: Taking taylor expansion of -1 in f 7.285 * [backup-simplify]: Simplify -1 into -1 7.285 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.285 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.285 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.285 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.285 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.285 * [taylor]: Taking taylor expansion of f in f 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [backup-simplify]: Simplify (/ 1 1) into 1 7.285 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.286 * [taylor]: Taking taylor expansion of n in f 7.286 * [backup-simplify]: Simplify n into n 7.286 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.286 * [taylor]: Taking taylor expansion of f in f 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (+ 1 0) into 1 7.286 * [backup-simplify]: Simplify (* 1 0) into 0 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.287 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.287 * [backup-simplify]: Simplify (/ 1 1) into 1 7.287 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.287 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.287 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.287 * [taylor]: Taking taylor expansion of f in f 7.287 * [backup-simplify]: Simplify 0 into 0 7.287 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (/ 1 1) into 1 7.288 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.288 * [taylor]: Taking taylor expansion of n in f 7.288 * [backup-simplify]: Simplify n into n 7.288 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.288 * [taylor]: Taking taylor expansion of n in f 7.288 * [backup-simplify]: Simplify n into n 7.288 * [backup-simplify]: Simplify (+ 1 0) into 1 7.289 * [backup-simplify]: Simplify (* 1 n) into n 7.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.289 * [backup-simplify]: Simplify (+ 1 0) into 1 7.289 * [backup-simplify]: Simplify (/ -1 1) into -1 7.289 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.289 * [taylor]: Taking taylor expansion of -1 in f 7.289 * [backup-simplify]: Simplify -1 into -1 7.289 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.289 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.289 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.289 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.289 * [taylor]: Taking taylor expansion of f in f 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify 1 into 1 7.289 * [backup-simplify]: Simplify (/ 1 1) into 1 7.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.290 * [taylor]: Taking taylor expansion of n in f 7.290 * [backup-simplify]: Simplify n into n 7.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.290 * [taylor]: Taking taylor expansion of f in f 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [backup-simplify]: Simplify (+ 1 0) into 1 7.290 * [backup-simplify]: Simplify (* 1 0) into 0 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.291 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.291 * [backup-simplify]: Simplify (/ 1 1) into 1 7.291 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.291 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.291 * [taylor]: Taking taylor expansion of f in f 7.291 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify 1 into 1 7.292 * [backup-simplify]: Simplify (/ 1 1) into 1 7.292 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.292 * [taylor]: Taking taylor expansion of n in f 7.292 * [backup-simplify]: Simplify n into n 7.292 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.292 * [taylor]: Taking taylor expansion of n in f 7.292 * [backup-simplify]: Simplify n into n 7.292 * [backup-simplify]: Simplify (+ 1 0) into 1 7.292 * [backup-simplify]: Simplify (* 1 n) into n 7.292 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.292 * [backup-simplify]: Simplify (+ 1 0) into 1 7.293 * [backup-simplify]: Simplify (/ -1 1) into -1 7.293 * [taylor]: Taking taylor expansion of -1 in n 7.293 * [backup-simplify]: Simplify -1 into -1 7.293 * [backup-simplify]: Simplify -1 into -1 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.294 * [backup-simplify]: Simplify (+ 0 0) into 0 7.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.294 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.294 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 7.295 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.295 * [taylor]: Taking taylor expansion of 2 in n 7.295 * [backup-simplify]: Simplify 2 into 2 7.295 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.295 * [taylor]: Taking taylor expansion of n in n 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.295 * [backup-simplify]: Simplify (/ 1 1) into 1 7.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.296 * [backup-simplify]: Simplify (- 0) into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.297 * [backup-simplify]: Simplify (+ 0 0) into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.299 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.299 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.300 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.300 * [taylor]: Taking taylor expansion of 2 in n 7.300 * [backup-simplify]: Simplify 2 into 2 7.300 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.300 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.300 * [taylor]: Taking taylor expansion of n in n 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 1 into 1 7.300 * [backup-simplify]: Simplify (* 1 1) into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.303 * [backup-simplify]: Simplify (- 0) into 0 7.303 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.305 * [backup-simplify]: Simplify (- 0) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.305 * [backup-simplify]: Simplify (+ 0 0) into 0 7.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.308 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.309 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.309 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.310 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.310 * [taylor]: Taking taylor expansion of 2 in n 7.310 * [backup-simplify]: Simplify 2 into 2 7.310 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.310 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.310 * [taylor]: Taking taylor expansion of n in n 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 1 into 1 7.310 * [backup-simplify]: Simplify (* 1 1) into 1 7.310 * [backup-simplify]: Simplify (* 1 1) into 1 7.310 * [backup-simplify]: Simplify (/ 1 1) into 1 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.316 * [backup-simplify]: Simplify (- 0) into 0 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify -1 into -1 7.316 * [backup-simplify]: Simplify (/ (- 1) (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 7.316 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 7.316 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 7.316 * [taylor]: Taking taylor expansion of -1 in n 7.316 * [backup-simplify]: Simplify -1 into -1 7.316 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 7.316 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.316 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.316 * [taylor]: Taking taylor expansion of f in n 7.316 * [backup-simplify]: Simplify f into f 7.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.316 * [taylor]: Taking taylor expansion of n in n 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (/ 1 1) into 1 7.317 * [taylor]: Taking taylor expansion of f in n 7.317 * [backup-simplify]: Simplify f into f 7.317 * [backup-simplify]: Simplify (+ 0 1) into 1 7.317 * [backup-simplify]: Simplify (* 1 f) into f 7.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.317 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.317 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.317 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.317 * [taylor]: Taking taylor expansion of f in n 7.317 * [backup-simplify]: Simplify f into f 7.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.317 * [taylor]: Taking taylor expansion of n in n 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (/ 1 1) into 1 7.318 * [taylor]: Taking taylor expansion of n in n 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (+ 0 1) into 1 7.318 * [backup-simplify]: Simplify (* 1 0) into 0 7.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.319 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.319 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.319 * [backup-simplify]: Simplify (/ 1 1) into 1 7.319 * [backup-simplify]: Simplify (- 1) into -1 7.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.320 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.320 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.320 * [taylor]: Taking taylor expansion of -1 in f 7.320 * [backup-simplify]: Simplify -1 into -1 7.320 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.320 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.320 * [taylor]: Taking taylor expansion of f in f 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (/ 1 1) into 1 7.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.321 * [taylor]: Taking taylor expansion of n in f 7.321 * [backup-simplify]: Simplify n into n 7.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.321 * [taylor]: Taking taylor expansion of f in f 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (+ 1 0) into 1 7.322 * [backup-simplify]: Simplify (* 1 0) into 0 7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.322 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.323 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.323 * [backup-simplify]: Simplify (/ 1 1) into 1 7.323 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.323 * [taylor]: Taking taylor expansion of f in f 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 1 into 1 7.324 * [backup-simplify]: Simplify (/ 1 1) into 1 7.324 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.324 * [taylor]: Taking taylor expansion of n in f 7.324 * [backup-simplify]: Simplify n into n 7.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.324 * [taylor]: Taking taylor expansion of n in f 7.324 * [backup-simplify]: Simplify n into n 7.324 * [backup-simplify]: Simplify (+ 1 0) into 1 7.324 * [backup-simplify]: Simplify (* 1 n) into n 7.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.325 * [backup-simplify]: Simplify (+ 1 0) into 1 7.325 * [backup-simplify]: Simplify (/ -1 1) into -1 7.325 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 7.325 * [taylor]: Taking taylor expansion of -1 in f 7.325 * [backup-simplify]: Simplify -1 into -1 7.325 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 7.325 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.325 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.325 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.325 * [taylor]: Taking taylor expansion of f in f 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (/ 1 1) into 1 7.326 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.326 * [taylor]: Taking taylor expansion of n in f 7.326 * [backup-simplify]: Simplify n into n 7.326 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.326 * [taylor]: Taking taylor expansion of f in f 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (+ 1 0) into 1 7.327 * [backup-simplify]: Simplify (* 1 0) into 0 7.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.328 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.328 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.328 * [backup-simplify]: Simplify (/ 1 1) into 1 7.328 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.328 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.328 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.329 * [taylor]: Taking taylor expansion of f in f 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.329 * [taylor]: Taking taylor expansion of n in f 7.329 * [backup-simplify]: Simplify n into n 7.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.329 * [taylor]: Taking taylor expansion of n in f 7.329 * [backup-simplify]: Simplify n into n 7.330 * [backup-simplify]: Simplify (+ 1 0) into 1 7.330 * [backup-simplify]: Simplify (* 1 n) into n 7.330 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.330 * [backup-simplify]: Simplify (+ 1 0) into 1 7.330 * [backup-simplify]: Simplify (/ -1 1) into -1 7.331 * [taylor]: Taking taylor expansion of -1 in n 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.332 * [backup-simplify]: Simplify (+ 0 0) into 0 7.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.333 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.333 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 7.334 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.334 * [taylor]: Taking taylor expansion of 2 in n 7.334 * [backup-simplify]: Simplify 2 into 2 7.334 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.334 * [taylor]: Taking taylor expansion of n in n 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.335 * [backup-simplify]: Simplify (/ 1 1) into 1 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.336 * [backup-simplify]: Simplify (- 0) into 0 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify 0 into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.338 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.341 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.342 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 7.342 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.343 * [taylor]: Taking taylor expansion of 2 in n 7.343 * [backup-simplify]: Simplify 2 into 2 7.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.343 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.343 * [taylor]: Taking taylor expansion of n in n 7.343 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify 1 into 1 7.343 * [backup-simplify]: Simplify (* 1 1) into 1 7.344 * [backup-simplify]: Simplify (/ 1 1) into 1 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.348 * [backup-simplify]: Simplify (- 0) into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.351 * [backup-simplify]: Simplify (- 0) into 0 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.352 * [backup-simplify]: Simplify (+ 0 0) into 0 7.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.356 * [backup-simplify]: Simplify (+ 0 0) into 0 7.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.358 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 7.358 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.359 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.360 * [taylor]: Taking taylor expansion of 2 in n 7.360 * [backup-simplify]: Simplify 2 into 2 7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.360 * [taylor]: Taking taylor expansion of n in n 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 1 into 1 7.360 * [backup-simplify]: Simplify (* 1 1) into 1 7.360 * [backup-simplify]: Simplify (* 1 1) into 1 7.361 * [backup-simplify]: Simplify (/ 1 1) into 1 7.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (- 0) into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify -1 into -1 7.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.371 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 7.371 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 7.371 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 7.371 * [taylor]: Taking taylor expansion of f in n 7.372 * [backup-simplify]: Simplify f into f 7.372 * [taylor]: Taking taylor expansion of (+ n f) in n 7.372 * [taylor]: Taking taylor expansion of n in n 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [taylor]: Taking taylor expansion of f in n 7.372 * [backup-simplify]: Simplify f into f 7.372 * [backup-simplify]: Simplify (+ 0 f) into f 7.372 * [backup-simplify]: Simplify (/ f f) into 1 7.372 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.372 * [taylor]: Taking taylor expansion of f in f 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [taylor]: Taking taylor expansion of (+ n f) in f 7.372 * [taylor]: Taking taylor expansion of n in f 7.372 * [backup-simplify]: Simplify n into n 7.372 * [taylor]: Taking taylor expansion of f in f 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (+ n 0) into n 7.372 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.372 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 7.372 * [taylor]: Taking taylor expansion of f in f 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [taylor]: Taking taylor expansion of (+ n f) in f 7.372 * [taylor]: Taking taylor expansion of n in f 7.372 * [backup-simplify]: Simplify n into n 7.372 * [taylor]: Taking taylor expansion of f in f 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [backup-simplify]: Simplify (+ n 0) into n 7.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.373 * [taylor]: Taking taylor expansion of n in n 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify 1 into 1 7.373 * [backup-simplify]: Simplify (/ 1 1) into 1 7.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify (+ 0 1) into 1 7.375 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.375 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.375 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.375 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.375 * [taylor]: Taking taylor expansion of n in n 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (* 1 1) into 1 7.376 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (- 0) into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.381 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.381 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.381 * [taylor]: Taking taylor expansion of n in n 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.382 * [backup-simplify]: Simplify (* 1 1) into 1 7.382 * [backup-simplify]: Simplify (* 1 1) into 1 7.383 * [backup-simplify]: Simplify (/ 1 1) into 1 7.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (- 0) into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 7.398 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 7.398 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.398 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.398 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.398 * [taylor]: Taking taylor expansion of f in n 7.398 * [backup-simplify]: Simplify f into f 7.398 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.398 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.398 * [taylor]: Taking taylor expansion of n in n 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [backup-simplify]: Simplify (/ 1 1) into 1 7.398 * [taylor]: Taking taylor expansion of f in n 7.398 * [backup-simplify]: Simplify f into f 7.399 * [backup-simplify]: Simplify (+ 0 1) into 1 7.399 * [backup-simplify]: Simplify (* 1 f) into f 7.399 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.399 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.399 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.399 * [taylor]: Taking taylor expansion of f in f 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.400 * [backup-simplify]: Simplify (/ 1 1) into 1 7.400 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.400 * [taylor]: Taking taylor expansion of n in f 7.400 * [backup-simplify]: Simplify n into n 7.400 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.400 * [taylor]: Taking taylor expansion of f in f 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify 1 into 1 7.400 * [backup-simplify]: Simplify (+ 1 0) into 1 7.401 * [backup-simplify]: Simplify (* 1 0) into 0 7.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.402 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.402 * [backup-simplify]: Simplify (/ 1 1) into 1 7.402 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.402 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.402 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.402 * [taylor]: Taking taylor expansion of f in f 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (/ 1 1) into 1 7.403 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.403 * [taylor]: Taking taylor expansion of n in f 7.403 * [backup-simplify]: Simplify n into n 7.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.403 * [taylor]: Taking taylor expansion of f in f 7.403 * [backup-simplify]: Simplify 0 into 0 7.403 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (+ 1 0) into 1 7.404 * [backup-simplify]: Simplify (* 1 0) into 0 7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.404 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.405 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.405 * [taylor]: Taking taylor expansion of 1 in n 7.405 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.407 * [backup-simplify]: Simplify (+ 0 0) into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.408 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.408 * [taylor]: Taking taylor expansion of n in n 7.408 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify 1 into 1 7.408 * [backup-simplify]: Simplify (/ 1 1) into 1 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.409 * [backup-simplify]: Simplify (- 0) into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.410 * [backup-simplify]: Simplify (+ 0 0) into 0 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.411 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.411 * [taylor]: Taking taylor expansion of n in n 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify 1 into 1 7.412 * [backup-simplify]: Simplify (* 1 1) into 1 7.412 * [backup-simplify]: Simplify (/ 1 1) into 1 7.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (- 0) into 0 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 7.416 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 7.416 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 7.416 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 7.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.416 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.416 * [taylor]: Taking taylor expansion of f in n 7.416 * [backup-simplify]: Simplify f into f 7.416 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.416 * [taylor]: Taking taylor expansion of n in n 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 1 into 1 7.416 * [backup-simplify]: Simplify (/ 1 1) into 1 7.416 * [taylor]: Taking taylor expansion of f in n 7.416 * [backup-simplify]: Simplify f into f 7.417 * [backup-simplify]: Simplify (+ 0 1) into 1 7.417 * [backup-simplify]: Simplify (* 1 f) into f 7.417 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.417 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.417 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.417 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.417 * [taylor]: Taking taylor expansion of f in f 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (/ 1 1) into 1 7.417 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.417 * [taylor]: Taking taylor expansion of n in f 7.417 * [backup-simplify]: Simplify n into n 7.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.417 * [taylor]: Taking taylor expansion of f in f 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (+ 1 0) into 1 7.418 * [backup-simplify]: Simplify (* 1 0) into 0 7.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.418 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.418 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.419 * [backup-simplify]: Simplify (/ 1 1) into 1 7.419 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 7.419 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 7.419 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.419 * [taylor]: Taking taylor expansion of f in f 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.419 * [backup-simplify]: Simplify (/ 1 1) into 1 7.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.419 * [taylor]: Taking taylor expansion of n in f 7.419 * [backup-simplify]: Simplify n into n 7.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.419 * [taylor]: Taking taylor expansion of f in f 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.419 * [backup-simplify]: Simplify (+ 1 0) into 1 7.420 * [backup-simplify]: Simplify (* 1 0) into 0 7.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.420 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.420 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 7.421 * [backup-simplify]: Simplify (/ 1 1) into 1 7.421 * [taylor]: Taking taylor expansion of 1 in n 7.421 * [backup-simplify]: Simplify 1 into 1 7.421 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.422 * [backup-simplify]: Simplify (+ 0 0) into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 7.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.423 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.423 * [taylor]: Taking taylor expansion of n in n 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (/ 1 1) into 1 7.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.424 * [backup-simplify]: Simplify (- 0) into 0 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.425 * [backup-simplify]: Simplify (+ 0 0) into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 7.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.426 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.426 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.426 * [taylor]: Taking taylor expansion of n in n 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.427 * [backup-simplify]: Simplify (* 1 1) into 1 7.427 * [backup-simplify]: Simplify (/ 1 1) into 1 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (- 0) into 0 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * * * [progress]: simplifying candidates 7.450 * [simplify]: Simplifying: (fma (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ 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cost 0 8.381 * * [simplify]: Extracting # 2 : cost 0 8.387 * * [simplify]: Extracting # 3 : cost 0 8.393 * * [simplify]: Extracting # 4 : cost 0 8.400 * * [simplify]: iteration 2 : 2870 enodes (cost 18093 ) 9.972 * * [simplify]: Extracting # 0 : cost 0 9.982 * * [simplify]: Extracting # 1 : cost 0 9.991 * * [simplify]: Extracting # 2 : cost 0 9.999 * * [simplify]: Extracting # 3 : cost 0 10.004 * * [simplify]: iteration done: 5000 enodes (cost 14067 ) 10.009 * [simplify]: Simplified to: (- (pow (cbrt (/ f (+ f n))) 3) (/ n (+ n f))) 0 (- (pow (cbrt (/ f (+ f n))) 3) (/ n (+ n f))) 0 (- (pow (cbrt (/ f (+ f n))) 3) (/ n (pow (cbrt (+ n f)) 3))) (+ (- (/ n (pow (cbrt (+ n f)) 3))) (/ n (pow (cbrt (+ n f)) 3))) (- (pow (cbrt (/ f (+ f n))) 3) (/ n (* (sqrt (+ n f)) (sqrt (+ n f))))) (* (/ n (sqrt (+ f n))) (+ (/ -1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))))) (- (pow (cbrt (/ f (+ f n))) 3) (/ n (+ n f))) 0 (- (pow (cbrt (/ f (+ f n))) 3) (/ n (+ n f))) 0 (- (pow (cbrt (/ f (+ f n))) 3) (/ n 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f n) (+ n f))) (/ (/ (- f n) (+ n f)) -1) (/ 1 (/ (- f n) (+ n f))) (/ (/ -1 (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n)))) (/ -1 (sqrt (/ (- f n) (+ f n)))) -1 (/ -1 (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 -1 -1 (- (+ f n)) (/ -1 (fma f f (* n (- n f)))) (/ -1 (- f n)) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (/ (- f n) (+ n f)) -1) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (/ (- f n) (+ n f)) -1) (/ (/ (- f n) (+ n f)) -1) (/ (/ (- f n) (+ n f)) -1) (/ -1 (- f n)) (/ -1 (fma f f (- (* n n)))) (/ -1 (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3))) (/ (/ -1 (+ (/ f (+ f n)) (/ n (+ f n)))) (/ (- f n) (+ f n))) (expm1 (/ f (+ f n))) (log1p (/ f (+ f n))) (log (/ f (+ f n))) (log (/ f (+ f n))) (exp (/ f (+ f n))) (pow (/ f (+ f n)) 3) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (pow (/ f (+ f n)) 3) (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- f) (- (+ f n)) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt f) (cbrt (+ f n))) (* (cbrt f) (/ (cbrt f) (sqrt (+ f n)))) (/ (cbrt f) (sqrt (+ n f))) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ n f)) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ n f)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (cbrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (sqrt f) (/ (sqrt f) (+ f n)) (sqrt f) (/ (sqrt f) (+ f n)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ f (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ f (sqrt (+ f n))) 1 (/ f (+ n f)) 1 (/ f (+ n f)) (/ 1 (+ f n)) (/ (+ f n) f) (/ f (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (sqrt (+ f n))) f f (/ (+ f n) (cbrt f)) (/ (+ f n) (sqrt f)) (/ (+ f n) f) (/ f (+ (pow f 3) (pow n 3))) (/ f (- (* f f) (* n n))) -1 1 1 0 0 0 1 -1 -1 0 0 0 10.023 * * * [progress]: adding candidates to table 11.068 * * [progress]: iteration 4 / 4 11.068 * * * [progress]: picking best candidate 11.084 * * * * [pick]: Picked # 11.084 * * * [progress]: localizing error 11.113 * * * [progress]: generating rewritten candidates 11.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 11.146 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 11.444 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.748 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 11.858 * * * [progress]: generating series expansions 11.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 11.859 * [backup-simplify]: Simplify (log (exp (/ f (+ f n)))) into (/ f (+ n f)) 11.859 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 11.859 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 11.859 * [taylor]: Taking taylor expansion of f in n 11.859 * [backup-simplify]: Simplify f into f 11.859 * [taylor]: Taking taylor expansion of (+ n f) in n 11.859 * [taylor]: Taking taylor expansion of n in n 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 1 into 1 11.859 * [taylor]: Taking taylor expansion of f in n 11.859 * [backup-simplify]: Simplify f into f 11.859 * [backup-simplify]: Simplify (+ 0 f) into f 11.859 * [backup-simplify]: Simplify (/ f f) into 1 11.859 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.859 * [taylor]: Taking taylor expansion of f in f 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 1 into 1 11.859 * [taylor]: Taking taylor expansion of (+ n f) in f 11.859 * [taylor]: Taking taylor expansion of n in f 11.859 * [backup-simplify]: Simplify n into n 11.859 * [taylor]: Taking taylor expansion of f in f 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 1 into 1 11.860 * [backup-simplify]: Simplify (+ n 0) into n 11.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.860 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.860 * [taylor]: Taking taylor expansion of f in f 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 1 into 1 11.860 * [taylor]: Taking taylor expansion of (+ n f) in f 11.860 * [taylor]: Taking taylor expansion of n in f 11.860 * [backup-simplify]: Simplify n into n 11.860 * [taylor]: Taking taylor expansion of f in f 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 1 into 1 11.860 * [backup-simplify]: Simplify (+ n 0) into n 11.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.860 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.860 * [taylor]: Taking taylor expansion of n in n 11.860 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify 1 into 1 11.861 * [backup-simplify]: Simplify (/ 1 1) into 1 11.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.862 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify (+ 0 1) into 1 11.863 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.863 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 11.863 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.863 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.863 * [taylor]: Taking taylor expansion of n in n 11.863 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify 1 into 1 11.863 * [backup-simplify]: Simplify (* 1 1) into 1 11.863 * [backup-simplify]: Simplify (/ 1 1) into 1 11.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.866 * [backup-simplify]: Simplify (- 0) into 0 11.866 * [backup-simplify]: Simplify 0 into 0 11.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.866 * [backup-simplify]: Simplify 0 into 0 11.866 * [backup-simplify]: Simplify (+ 0 0) into 0 11.867 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.867 * [taylor]: Taking taylor expansion of n in n 11.867 * [backup-simplify]: Simplify 0 into 0 11.867 * [backup-simplify]: Simplify 1 into 1 11.867 * [backup-simplify]: Simplify (* 1 1) into 1 11.867 * [backup-simplify]: Simplify (* 1 1) into 1 11.867 * [backup-simplify]: Simplify (/ 1 1) into 1 11.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.873 * [backup-simplify]: Simplify (- 0) into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify (log (exp (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 11.874 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 11.874 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.874 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.874 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.874 * [taylor]: Taking taylor expansion of f in n 11.874 * [backup-simplify]: Simplify f into f 11.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.874 * [taylor]: Taking taylor expansion of n in n 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify 1 into 1 11.874 * [backup-simplify]: Simplify (/ 1 1) into 1 11.874 * [taylor]: Taking taylor expansion of f in n 11.875 * [backup-simplify]: Simplify f into f 11.875 * [backup-simplify]: Simplify (+ 0 1) into 1 11.875 * [backup-simplify]: Simplify (* 1 f) into f 11.875 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.875 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.875 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.875 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.875 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.875 * [taylor]: Taking taylor expansion of f in f 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 1 into 1 11.875 * [backup-simplify]: Simplify (/ 1 1) into 1 11.875 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.875 * [taylor]: Taking taylor expansion of n in f 11.875 * [backup-simplify]: Simplify n into n 11.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.875 * [taylor]: Taking taylor expansion of f in f 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 1 into 1 11.876 * [backup-simplify]: Simplify (+ 1 0) into 1 11.876 * [backup-simplify]: Simplify (* 1 0) into 0 11.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.876 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.877 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.877 * [backup-simplify]: Simplify (/ 1 1) into 1 11.877 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.877 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.877 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.877 * [taylor]: Taking taylor expansion of f in f 11.877 * [backup-simplify]: Simplify 0 into 0 11.877 * [backup-simplify]: Simplify 1 into 1 11.877 * [backup-simplify]: Simplify (/ 1 1) into 1 11.877 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.877 * [taylor]: Taking taylor expansion of n in f 11.877 * [backup-simplify]: Simplify n into n 11.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.877 * [taylor]: Taking taylor expansion of f in f 11.877 * [backup-simplify]: Simplify 0 into 0 11.877 * [backup-simplify]: Simplify 1 into 1 11.878 * [backup-simplify]: Simplify (+ 1 0) into 1 11.878 * [backup-simplify]: Simplify (* 1 0) into 0 11.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.878 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.879 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.879 * [backup-simplify]: Simplify (/ 1 1) into 1 11.879 * [taylor]: Taking taylor expansion of 1 in n 11.879 * [backup-simplify]: Simplify 1 into 1 11.879 * [backup-simplify]: Simplify 0 into 0 11.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.880 * [backup-simplify]: Simplify (+ 0 0) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.881 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 11.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.881 * [taylor]: Taking taylor expansion of n in n 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [backup-simplify]: Simplify 1 into 1 11.881 * [backup-simplify]: Simplify (/ 1 1) into 1 11.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (- 0) into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.883 * [backup-simplify]: Simplify (+ 0 0) into 0 11.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.884 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.884 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.884 * [taylor]: Taking taylor expansion of n in n 11.884 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify 1 into 1 11.884 * [backup-simplify]: Simplify (* 1 1) into 1 11.885 * [backup-simplify]: Simplify (/ 1 1) into 1 11.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.889 * [backup-simplify]: Simplify (- 0) into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify (log (exp (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 11.889 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 11.889 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.889 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.889 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.889 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.889 * [taylor]: Taking taylor expansion of f in n 11.889 * [backup-simplify]: Simplify f into f 11.889 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.889 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.889 * [taylor]: Taking taylor expansion of n in n 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 1 into 1 11.890 * [backup-simplify]: Simplify (/ 1 1) into 1 11.890 * [taylor]: Taking taylor expansion of f in n 11.890 * [backup-simplify]: Simplify f into f 11.890 * [backup-simplify]: Simplify (+ 0 1) into 1 11.890 * [backup-simplify]: Simplify (* 1 f) into f 11.890 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.890 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.890 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.890 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.890 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.890 * [taylor]: Taking taylor expansion of f in f 11.890 * [backup-simplify]: Simplify 0 into 0 11.890 * [backup-simplify]: Simplify 1 into 1 11.890 * [backup-simplify]: Simplify (/ 1 1) into 1 11.890 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.890 * [taylor]: Taking taylor expansion of n in f 11.890 * [backup-simplify]: Simplify n into n 11.891 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.891 * [taylor]: Taking taylor expansion of f in f 11.891 * [backup-simplify]: Simplify 0 into 0 11.891 * [backup-simplify]: Simplify 1 into 1 11.891 * [backup-simplify]: Simplify (+ 1 0) into 1 11.891 * [backup-simplify]: Simplify (* 1 0) into 0 11.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.892 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.892 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.892 * [backup-simplify]: Simplify (/ 1 1) into 1 11.892 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.892 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.892 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.892 * [taylor]: Taking taylor expansion of f in f 11.892 * [backup-simplify]: Simplify 0 into 0 11.892 * [backup-simplify]: Simplify 1 into 1 11.893 * [backup-simplify]: Simplify (/ 1 1) into 1 11.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.893 * [taylor]: Taking taylor expansion of n in f 11.893 * [backup-simplify]: Simplify n into n 11.893 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.893 * [taylor]: Taking taylor expansion of f in f 11.893 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify 1 into 1 11.893 * [backup-simplify]: Simplify (+ 1 0) into 1 11.893 * [backup-simplify]: Simplify (* 1 0) into 0 11.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.894 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.894 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.894 * [backup-simplify]: Simplify (/ 1 1) into 1 11.894 * [taylor]: Taking taylor expansion of 1 in n 11.894 * [backup-simplify]: Simplify 1 into 1 11.894 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.895 * [backup-simplify]: Simplify (+ 0 0) into 0 11.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.896 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 11.896 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.896 * [taylor]: Taking taylor expansion of n in n 11.896 * [backup-simplify]: Simplify 0 into 0 11.896 * [backup-simplify]: Simplify 1 into 1 11.896 * [backup-simplify]: Simplify (/ 1 1) into 1 11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.898 * [backup-simplify]: Simplify (- 0) into 0 11.898 * [backup-simplify]: Simplify 0 into 0 11.898 * [backup-simplify]: Simplify 0 into 0 11.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.899 * [backup-simplify]: Simplify (+ 0 0) into 0 11.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.900 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.900 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.900 * [taylor]: Taking taylor expansion of n in n 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 1 into 1 11.900 * [backup-simplify]: Simplify (* 1 1) into 1 11.900 * [backup-simplify]: Simplify (/ 1 1) into 1 11.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.903 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.904 * [backup-simplify]: Simplify (- 0) into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.904 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 11.905 * [backup-simplify]: Simplify (- (log (exp (/ f (+ f n)))) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 11.905 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 11.905 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 11.905 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 11.905 * [taylor]: Taking taylor expansion of f in n 11.905 * [backup-simplify]: Simplify f into f 11.905 * [taylor]: Taking taylor expansion of (+ n f) in n 11.905 * [taylor]: Taking taylor expansion of n in n 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [taylor]: Taking taylor expansion of f in n 11.905 * [backup-simplify]: Simplify f into f 11.905 * [backup-simplify]: Simplify (+ 0 f) into f 11.905 * [backup-simplify]: Simplify (/ f f) into 1 11.905 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.905 * [taylor]: Taking taylor expansion of n in n 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [taylor]: Taking taylor expansion of (+ n f) in n 11.905 * [taylor]: Taking taylor expansion of n in n 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [taylor]: Taking taylor expansion of f in n 11.905 * [backup-simplify]: Simplify f into f 11.905 * [backup-simplify]: Simplify (+ 0 f) into f 11.905 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.905 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 11.905 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.905 * [taylor]: Taking taylor expansion of f in f 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [taylor]: Taking taylor expansion of (+ n f) in f 11.905 * [taylor]: Taking taylor expansion of n in f 11.905 * [backup-simplify]: Simplify n into n 11.905 * [taylor]: Taking taylor expansion of f in f 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.905 * [backup-simplify]: Simplify (+ n 0) into n 11.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.905 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.905 * [taylor]: Taking taylor expansion of n in f 11.905 * [backup-simplify]: Simplify n into n 11.905 * [taylor]: Taking taylor expansion of (+ n f) in f 11.905 * [taylor]: Taking taylor expansion of n in f 11.905 * [backup-simplify]: Simplify n into n 11.906 * [taylor]: Taking taylor expansion of f in f 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (+ n 0) into n 11.906 * [backup-simplify]: Simplify (/ n n) into 1 11.906 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 11.906 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.906 * [taylor]: Taking taylor expansion of f in f 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [taylor]: Taking taylor expansion of (+ n f) in f 11.906 * [taylor]: Taking taylor expansion of n in f 11.906 * [backup-simplify]: Simplify n into n 11.906 * [taylor]: Taking taylor expansion of f in f 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (+ n 0) into n 11.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.906 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.906 * [taylor]: Taking taylor expansion of n in f 11.906 * [backup-simplify]: Simplify n into n 11.906 * [taylor]: Taking taylor expansion of (+ n f) in f 11.906 * [taylor]: Taking taylor expansion of n in f 11.906 * [backup-simplify]: Simplify n into n 11.906 * [taylor]: Taking taylor expansion of f in f 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (+ n 0) into n 11.906 * [backup-simplify]: Simplify (/ n n) into 1 11.906 * [backup-simplify]: Simplify (- 1) into -1 11.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.907 * [taylor]: Taking taylor expansion of -1 in n 11.907 * [backup-simplify]: Simplify -1 into -1 11.907 * [backup-simplify]: Simplify -1 into -1 11.907 * [backup-simplify]: Simplify (+ 0 1) into 1 11.907 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 11.907 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.907 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.907 * [taylor]: Taking taylor expansion of 2 in n 11.907 * [backup-simplify]: Simplify 2 into 2 11.907 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.907 * [taylor]: Taking taylor expansion of n in n 11.907 * [backup-simplify]: Simplify 0 into 0 11.907 * [backup-simplify]: Simplify 1 into 1 11.908 * [backup-simplify]: Simplify (/ 1 1) into 1 11.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.908 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.908 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify (+ 0 1) into 1 11.909 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.909 * [backup-simplify]: Simplify (+ 0 0) into 0 11.909 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 11.909 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.910 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.910 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.910 * [taylor]: Taking taylor expansion of 2 in n 11.910 * [backup-simplify]: Simplify 2 into 2 11.910 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.910 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.910 * [taylor]: Taking taylor expansion of n in n 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify 1 into 1 11.910 * [backup-simplify]: Simplify (* 1 1) into 1 11.910 * [backup-simplify]: Simplify (/ 1 1) into 1 11.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.913 * [backup-simplify]: Simplify (- 0) into 0 11.913 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify (+ 0 0) into 0 11.915 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.915 * [backup-simplify]: Simplify (+ 0 0) into 0 11.916 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 11.916 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.917 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.917 * [taylor]: Taking taylor expansion of 2 in n 11.917 * [backup-simplify]: Simplify 2 into 2 11.917 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.917 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.917 * [taylor]: Taking taylor expansion of n in n 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [backup-simplify]: Simplify (* 1 1) into 1 11.917 * [backup-simplify]: Simplify (* 1 1) into 1 11.918 * [backup-simplify]: Simplify (/ 1 1) into 1 11.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify -1 into -1 11.924 * [backup-simplify]: Simplify (- (log (exp (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 11.924 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 11.924 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 11.924 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.924 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.924 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.924 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.924 * [taylor]: Taking taylor expansion of f in n 11.924 * [backup-simplify]: Simplify f into f 11.924 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.924 * [taylor]: Taking taylor expansion of n in n 11.924 * [backup-simplify]: Simplify 0 into 0 11.924 * [backup-simplify]: Simplify 1 into 1 11.924 * [backup-simplify]: Simplify (/ 1 1) into 1 11.924 * [taylor]: Taking taylor expansion of f in n 11.924 * [backup-simplify]: Simplify f into f 11.924 * [backup-simplify]: Simplify (+ 0 1) into 1 11.924 * [backup-simplify]: Simplify (* 1 f) into f 11.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.925 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.925 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.925 * [taylor]: Taking taylor expansion of f in n 11.925 * [backup-simplify]: Simplify f into f 11.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.925 * [taylor]: Taking taylor expansion of n in n 11.925 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify 1 into 1 11.925 * [backup-simplify]: Simplify (/ 1 1) into 1 11.925 * [taylor]: Taking taylor expansion of n in n 11.925 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify 1 into 1 11.925 * [backup-simplify]: Simplify (+ 0 1) into 1 11.926 * [backup-simplify]: Simplify (* 1 0) into 0 11.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.926 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.926 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.927 * [backup-simplify]: Simplify (/ 1 1) into 1 11.927 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 11.927 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.927 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.927 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.927 * [taylor]: Taking taylor expansion of f in f 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 1 into 1 11.927 * [backup-simplify]: Simplify (/ 1 1) into 1 11.927 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.927 * [taylor]: Taking taylor expansion of n in f 11.927 * [backup-simplify]: Simplify n into n 11.927 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.927 * [taylor]: Taking taylor expansion of f in f 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 1 into 1 11.932 * [backup-simplify]: Simplify (+ 1 0) into 1 11.932 * [backup-simplify]: Simplify (* 1 0) into 0 11.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.933 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.933 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.934 * [backup-simplify]: Simplify (/ 1 1) into 1 11.934 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.934 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.934 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.934 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.934 * [taylor]: Taking taylor expansion of f in f 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify 1 into 1 11.934 * [backup-simplify]: Simplify (/ 1 1) into 1 11.934 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.934 * [taylor]: Taking taylor expansion of n in f 11.934 * [backup-simplify]: Simplify n into n 11.934 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.934 * [taylor]: Taking taylor expansion of n in f 11.934 * [backup-simplify]: Simplify n into n 11.935 * [backup-simplify]: Simplify (+ 1 0) into 1 11.935 * [backup-simplify]: Simplify (* 1 n) into n 11.935 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.935 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 11.935 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.935 * [taylor]: Taking taylor expansion of f in f 11.935 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify 1 into 1 11.935 * [backup-simplify]: Simplify (/ 1 1) into 1 11.935 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.935 * [taylor]: Taking taylor expansion of n in f 11.935 * [backup-simplify]: Simplify n into n 11.935 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.935 * [taylor]: Taking taylor expansion of f in f 11.935 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify 1 into 1 11.935 * [backup-simplify]: Simplify (+ 1 0) into 1 11.936 * [backup-simplify]: Simplify (* 1 0) into 0 11.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.936 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.936 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.937 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.937 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.937 * [taylor]: Taking taylor expansion of f in f 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify 1 into 1 11.937 * [backup-simplify]: Simplify (/ 1 1) into 1 11.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.937 * [taylor]: Taking taylor expansion of n in f 11.937 * [backup-simplify]: Simplify n into n 11.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.937 * [taylor]: Taking taylor expansion of n in f 11.937 * [backup-simplify]: Simplify n into n 11.937 * [backup-simplify]: Simplify (+ 1 0) into 1 11.938 * [backup-simplify]: Simplify (* 1 n) into n 11.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.938 * [backup-simplify]: Simplify (+ 1 0) into 1 11.938 * [taylor]: Taking taylor expansion of 1 in n 11.938 * [backup-simplify]: Simplify 1 into 1 11.938 * [backup-simplify]: Simplify 1 into 1 11.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.939 * [backup-simplify]: Simplify (+ 0 0) into 0 11.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.939 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.940 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 11.940 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.940 * [taylor]: Taking taylor expansion of 2 in n 11.940 * [backup-simplify]: Simplify 2 into 2 11.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.940 * [taylor]: Taking taylor expansion of n in n 11.940 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [backup-simplify]: Simplify (/ 1 1) into 1 11.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.941 * [backup-simplify]: Simplify (- 0) into 0 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.942 * [backup-simplify]: Simplify (+ 0 0) into 0 11.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.944 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.944 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.944 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 11.944 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 11.944 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.944 * [taylor]: Taking taylor expansion of 2 in n 11.944 * [backup-simplify]: Simplify 2 into 2 11.944 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.944 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.944 * [taylor]: Taking taylor expansion of n in n 11.944 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify 1 into 1 11.945 * [backup-simplify]: Simplify (* 1 1) into 1 11.945 * [backup-simplify]: Simplify (/ 1 1) into 1 11.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.947 * [backup-simplify]: Simplify 0 into 0 11.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.948 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.949 * [backup-simplify]: Simplify (- 0) into 0 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.950 * [backup-simplify]: Simplify (+ 0 0) into 0 11.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.952 * [backup-simplify]: Simplify (+ 0 0) into 0 11.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.953 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 11.954 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 11.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.954 * [taylor]: Taking taylor expansion of 2 in n 11.954 * [backup-simplify]: Simplify 2 into 2 11.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.954 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.954 * [taylor]: Taking taylor expansion of n in n 11.954 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify 1 into 1 11.954 * [backup-simplify]: Simplify (* 1 1) into 1 11.954 * [backup-simplify]: Simplify (* 1 1) into 1 11.955 * [backup-simplify]: Simplify (/ 1 1) into 1 11.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.960 * [backup-simplify]: Simplify (- 0) into 0 11.960 * [backup-simplify]: Simplify 0 into 0 11.960 * [backup-simplify]: Simplify 1 into 1 11.960 * [backup-simplify]: Simplify (- (log (exp (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 11.960 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 11.960 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 11.960 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.961 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.961 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.961 * [taylor]: Taking taylor expansion of f in n 11.961 * [backup-simplify]: Simplify f into f 11.961 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.961 * [taylor]: Taking taylor expansion of n in n 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (/ 1 1) into 1 11.961 * [taylor]: Taking taylor expansion of f in n 11.961 * [backup-simplify]: Simplify f into f 11.961 * [backup-simplify]: Simplify (+ 0 1) into 1 11.961 * [backup-simplify]: Simplify (* 1 f) into f 11.961 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.961 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.961 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.961 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.961 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.961 * [taylor]: Taking taylor expansion of f in n 11.961 * [backup-simplify]: Simplify f into f 11.961 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.962 * [taylor]: Taking taylor expansion of n in n 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.962 * [backup-simplify]: Simplify (/ 1 1) into 1 11.962 * [taylor]: Taking taylor expansion of n in n 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.962 * [backup-simplify]: Simplify (+ 0 1) into 1 11.962 * [backup-simplify]: Simplify (* 1 0) into 0 11.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.963 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.963 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.963 * [backup-simplify]: Simplify (/ 1 1) into 1 11.963 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 11.963 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.963 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.963 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.963 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.963 * [taylor]: Taking taylor expansion of f in f 11.963 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify 1 into 1 11.964 * [backup-simplify]: Simplify (/ 1 1) into 1 11.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.964 * [taylor]: Taking taylor expansion of n in f 11.964 * [backup-simplify]: Simplify n into n 11.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.964 * [taylor]: Taking taylor expansion of f in f 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 1 into 1 11.964 * [backup-simplify]: Simplify (+ 1 0) into 1 11.964 * [backup-simplify]: Simplify (* 1 0) into 0 11.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.965 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.965 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.966 * [backup-simplify]: Simplify (/ 1 1) into 1 11.966 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.966 * [taylor]: Taking taylor expansion of f in f 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 1 into 1 11.966 * [backup-simplify]: Simplify (/ 1 1) into 1 11.966 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.966 * [taylor]: Taking taylor expansion of n in f 11.966 * [backup-simplify]: Simplify n into n 11.966 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.966 * [taylor]: Taking taylor expansion of n in f 11.966 * [backup-simplify]: Simplify n into n 11.966 * [backup-simplify]: Simplify (+ 1 0) into 1 11.966 * [backup-simplify]: Simplify (* 1 n) into n 11.966 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.966 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 11.966 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.967 * [taylor]: Taking taylor expansion of f in f 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify 1 into 1 11.967 * [backup-simplify]: Simplify (/ 1 1) into 1 11.967 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.967 * [taylor]: Taking taylor expansion of n in f 11.967 * [backup-simplify]: Simplify n into n 11.967 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.967 * [taylor]: Taking taylor expansion of f in f 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify 1 into 1 11.967 * [backup-simplify]: Simplify (+ 1 0) into 1 11.967 * [backup-simplify]: Simplify (* 1 0) into 0 11.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.968 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.968 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.968 * [backup-simplify]: Simplify (/ 1 1) into 1 11.968 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.968 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.969 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.969 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.969 * [taylor]: Taking taylor expansion of f in f 11.969 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify 1 into 1 11.969 * [backup-simplify]: Simplify (/ 1 1) into 1 11.969 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.969 * [taylor]: Taking taylor expansion of n in f 11.969 * [backup-simplify]: Simplify n into n 11.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.969 * [taylor]: Taking taylor expansion of n in f 11.969 * [backup-simplify]: Simplify n into n 11.969 * [backup-simplify]: Simplify (+ 1 0) into 1 11.969 * [backup-simplify]: Simplify (* 1 n) into n 11.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.970 * [backup-simplify]: Simplify (+ 1 0) into 1 11.970 * [taylor]: Taking taylor expansion of 1 in n 11.970 * [backup-simplify]: Simplify 1 into 1 11.970 * [backup-simplify]: Simplify 1 into 1 11.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.970 * [backup-simplify]: Simplify (+ 0 0) into 0 11.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.971 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.971 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 11.971 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.971 * [taylor]: Taking taylor expansion of 2 in n 11.971 * [backup-simplify]: Simplify 2 into 2 11.971 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.971 * [taylor]: Taking taylor expansion of n in n 11.971 * [backup-simplify]: Simplify 0 into 0 11.971 * [backup-simplify]: Simplify 1 into 1 11.972 * [backup-simplify]: Simplify (/ 1 1) into 1 11.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.973 * [backup-simplify]: Simplify (- 0) into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.974 * [backup-simplify]: Simplify (+ 0 0) into 0 11.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.975 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.976 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.976 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 11.976 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 11.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.976 * [taylor]: Taking taylor expansion of 2 in n 11.976 * [backup-simplify]: Simplify 2 into 2 11.976 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.976 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.976 * [taylor]: Taking taylor expansion of n in n 11.976 * [backup-simplify]: Simplify 0 into 0 11.976 * [backup-simplify]: Simplify 1 into 1 11.977 * [backup-simplify]: Simplify (* 1 1) into 1 11.977 * [backup-simplify]: Simplify (/ 1 1) into 1 11.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.979 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.981 * [backup-simplify]: Simplify (- 0) into 0 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.982 * [backup-simplify]: Simplify (+ 0 0) into 0 11.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.984 * [backup-simplify]: Simplify (+ 0 0) into 0 11.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.985 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 11.985 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 11.985 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.985 * [taylor]: Taking taylor expansion of 2 in n 11.985 * [backup-simplify]: Simplify 2 into 2 11.985 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.985 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.985 * [taylor]: Taking taylor expansion of n in n 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify 1 into 1 11.985 * [backup-simplify]: Simplify (* 1 1) into 1 11.986 * [backup-simplify]: Simplify (* 1 1) into 1 11.986 * [backup-simplify]: Simplify (/ 1 1) into 1 11.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (- 0) into 0 11.991 * [backup-simplify]: Simplify 0 into 0 11.991 * [backup-simplify]: Simplify 1 into 1 11.991 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.992 * [backup-simplify]: Simplify (/ (- 1) (- (log (exp (/ f (+ f n)))) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 11.992 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 11.992 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 11.992 * [taylor]: Taking taylor expansion of -1 in n 11.992 * [backup-simplify]: Simplify -1 into -1 11.992 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 11.992 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 11.992 * [taylor]: Taking taylor expansion of f in n 11.992 * [backup-simplify]: Simplify f into f 11.992 * [taylor]: Taking taylor expansion of (+ n f) in n 11.992 * [taylor]: Taking taylor expansion of n in n 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 1 into 1 11.992 * [taylor]: Taking taylor expansion of f in n 11.992 * [backup-simplify]: Simplify f into f 11.992 * [backup-simplify]: Simplify (+ 0 f) into f 11.992 * [backup-simplify]: Simplify (/ f f) into 1 11.992 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.992 * [taylor]: Taking taylor expansion of n in n 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 1 into 1 11.992 * [taylor]: Taking taylor expansion of (+ n f) in n 11.992 * [taylor]: Taking taylor expansion of n in n 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 1 into 1 11.992 * [taylor]: Taking taylor expansion of f in n 11.992 * [backup-simplify]: Simplify f into f 11.992 * [backup-simplify]: Simplify (+ 0 f) into f 11.992 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.993 * [backup-simplify]: Simplify (+ 1 0) into 1 11.993 * [backup-simplify]: Simplify (/ -1 1) into -1 11.993 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 11.993 * [taylor]: Taking taylor expansion of -1 in f 11.993 * [backup-simplify]: Simplify -1 into -1 11.993 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 11.993 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.993 * [taylor]: Taking taylor expansion of f in f 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify 1 into 1 11.993 * [taylor]: Taking taylor expansion of (+ n f) in f 11.993 * [taylor]: Taking taylor expansion of n in f 11.993 * [backup-simplify]: Simplify n into n 11.993 * [taylor]: Taking taylor expansion of f in f 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify 1 into 1 11.993 * [backup-simplify]: Simplify (+ n 0) into n 11.993 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.993 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.993 * [taylor]: Taking taylor expansion of n in f 11.993 * [backup-simplify]: Simplify n into n 11.993 * [taylor]: Taking taylor expansion of (+ n f) in f 11.993 * [taylor]: Taking taylor expansion of n in f 11.993 * [backup-simplify]: Simplify n into n 11.993 * [taylor]: Taking taylor expansion of f in f 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify 1 into 1 11.993 * [backup-simplify]: Simplify (+ n 0) into n 11.993 * [backup-simplify]: Simplify (/ n n) into 1 11.994 * [backup-simplify]: Simplify (- 1) into -1 11.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.994 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.994 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 11.994 * [taylor]: Taking taylor expansion of -1 in f 11.994 * [backup-simplify]: Simplify -1 into -1 11.994 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 11.994 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.994 * [taylor]: Taking taylor expansion of f in f 11.994 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [taylor]: Taking taylor expansion of (+ n f) in f 11.994 * [taylor]: Taking taylor expansion of n in f 11.994 * [backup-simplify]: Simplify n into n 11.994 * [taylor]: Taking taylor expansion of f in f 11.994 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify 1 into 1 11.994 * [backup-simplify]: Simplify (+ n 0) into n 11.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.994 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.994 * [taylor]: Taking taylor expansion of n in f 11.995 * [backup-simplify]: Simplify n into n 11.995 * [taylor]: Taking taylor expansion of (+ n f) in f 11.995 * [taylor]: Taking taylor expansion of n in f 11.995 * [backup-simplify]: Simplify n into n 11.995 * [taylor]: Taking taylor expansion of f in f 11.995 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify 1 into 1 11.995 * [backup-simplify]: Simplify (+ n 0) into n 11.995 * [backup-simplify]: Simplify (/ n n) into 1 11.995 * [backup-simplify]: Simplify (- 1) into -1 11.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.995 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.995 * [taylor]: Taking taylor expansion of 1 in n 11.996 * [backup-simplify]: Simplify 1 into 1 11.996 * [backup-simplify]: Simplify 1 into 1 11.996 * [backup-simplify]: Simplify (+ 0 1) into 1 11.996 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 11.996 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.996 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.996 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 11.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.996 * [taylor]: Taking taylor expansion of 2 in n 11.997 * [backup-simplify]: Simplify 2 into 2 11.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.997 * [taylor]: Taking taylor expansion of n in n 11.997 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify 1 into 1 11.997 * [backup-simplify]: Simplify (/ 1 1) into 1 11.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.998 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify (+ 0 1) into 1 11.998 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.999 * [backup-simplify]: Simplify (+ 0 0) into 0 11.999 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 11.999 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.999 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 12.000 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 12.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.000 * [taylor]: Taking taylor expansion of 2 in n 12.000 * [backup-simplify]: Simplify 2 into 2 12.000 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.000 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.000 * [taylor]: Taking taylor expansion of n in n 12.000 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify 1 into 1 12.000 * [backup-simplify]: Simplify (* 1 1) into 1 12.000 * [backup-simplify]: Simplify (/ 1 1) into 1 12.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.005 * [backup-simplify]: Simplify (+ 0 0) into 0 12.005 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 12.005 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 12.005 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 12.006 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 12.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.006 * [taylor]: Taking taylor expansion of 2 in n 12.006 * [backup-simplify]: Simplify 2 into 2 12.006 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.006 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.006 * [taylor]: Taking taylor expansion of n in n 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 1 into 1 12.006 * [backup-simplify]: Simplify (* 1 1) into 1 12.007 * [backup-simplify]: Simplify (* 1 1) into 1 12.007 * [backup-simplify]: Simplify (/ 1 1) into 1 12.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ (- 1) (- (log (exp (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 12.013 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 12.013 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 12.013 * [taylor]: Taking taylor expansion of -1 in n 12.013 * [backup-simplify]: Simplify -1 into -1 12.013 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 12.013 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.013 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.013 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.013 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.013 * [taylor]: Taking taylor expansion of f in n 12.013 * [backup-simplify]: Simplify f into f 12.013 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.013 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.013 * [taylor]: Taking taylor expansion of n in n 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ 1 1) into 1 12.013 * [taylor]: Taking taylor expansion of f in n 12.013 * [backup-simplify]: Simplify f into f 12.013 * [backup-simplify]: Simplify (+ 0 1) into 1 12.013 * [backup-simplify]: Simplify (* 1 f) into f 12.013 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.013 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.014 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.014 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.014 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.014 * [taylor]: Taking taylor expansion of f in n 12.014 * [backup-simplify]: Simplify f into f 12.014 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.014 * [taylor]: Taking taylor expansion of n in n 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (/ 1 1) into 1 12.014 * [taylor]: Taking taylor expansion of n in n 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (+ 0 1) into 1 12.015 * [backup-simplify]: Simplify (* 1 0) into 0 12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.015 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.015 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.016 * [backup-simplify]: Simplify (/ 1 1) into 1 12.016 * [backup-simplify]: Simplify (- 1) into -1 12.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.017 * [backup-simplify]: Simplify (/ -1 -1) into 1 12.017 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.017 * [taylor]: Taking taylor expansion of -1 in f 12.017 * [backup-simplify]: Simplify -1 into -1 12.017 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.017 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.017 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.017 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.017 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.017 * [taylor]: Taking taylor expansion of f in f 12.017 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (/ 1 1) into 1 12.017 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.017 * [taylor]: Taking taylor expansion of n in f 12.017 * [backup-simplify]: Simplify n into n 12.017 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.017 * [taylor]: Taking taylor expansion of f in f 12.017 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify 1 into 1 12.018 * [backup-simplify]: Simplify (+ 1 0) into 1 12.018 * [backup-simplify]: Simplify (* 1 0) into 0 12.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.018 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.019 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.019 * [backup-simplify]: Simplify (/ 1 1) into 1 12.019 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.019 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.019 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.019 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.019 * [taylor]: Taking taylor expansion of f in f 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 1 into 1 12.019 * [backup-simplify]: Simplify (/ 1 1) into 1 12.019 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.019 * [taylor]: Taking taylor expansion of n in f 12.019 * [backup-simplify]: Simplify n into n 12.019 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.019 * [taylor]: Taking taylor expansion of n in f 12.020 * [backup-simplify]: Simplify n into n 12.020 * [backup-simplify]: Simplify (+ 1 0) into 1 12.020 * [backup-simplify]: Simplify (* 1 n) into n 12.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.021 * [backup-simplify]: Simplify (+ 1 0) into 1 12.021 * [backup-simplify]: Simplify (/ -1 1) into -1 12.021 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.021 * [taylor]: Taking taylor expansion of -1 in f 12.021 * [backup-simplify]: Simplify -1 into -1 12.021 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.021 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.021 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.021 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.021 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.021 * [taylor]: Taking taylor expansion of f in f 12.021 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify 1 into 1 12.022 * [backup-simplify]: Simplify (/ 1 1) into 1 12.022 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.022 * [taylor]: Taking taylor expansion of n in f 12.022 * [backup-simplify]: Simplify n into n 12.022 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.022 * [taylor]: Taking taylor expansion of f in f 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 1 into 1 12.022 * [backup-simplify]: Simplify (+ 1 0) into 1 12.023 * [backup-simplify]: Simplify (* 1 0) into 0 12.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.024 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.024 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.027 * [backup-simplify]: Simplify (/ 1 1) into 1 12.027 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.027 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.027 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.027 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.027 * [taylor]: Taking taylor expansion of f in f 12.027 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.028 * [backup-simplify]: Simplify (/ 1 1) into 1 12.028 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.028 * [taylor]: Taking taylor expansion of n in f 12.028 * [backup-simplify]: Simplify n into n 12.028 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.028 * [taylor]: Taking taylor expansion of n in f 12.028 * [backup-simplify]: Simplify n into n 12.029 * [backup-simplify]: Simplify (+ 1 0) into 1 12.029 * [backup-simplify]: Simplify (* 1 n) into n 12.029 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.029 * [backup-simplify]: Simplify (+ 1 0) into 1 12.030 * [backup-simplify]: Simplify (/ -1 1) into -1 12.030 * [taylor]: Taking taylor expansion of -1 in n 12.030 * [backup-simplify]: Simplify -1 into -1 12.030 * [backup-simplify]: Simplify -1 into -1 12.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.031 * [backup-simplify]: Simplify (+ 0 0) into 0 12.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.032 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.032 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 12.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 12.032 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.033 * [taylor]: Taking taylor expansion of 2 in n 12.033 * [backup-simplify]: Simplify 2 into 2 12.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.033 * [taylor]: Taking taylor expansion of n in n 12.033 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify 1 into 1 12.033 * [backup-simplify]: Simplify (/ 1 1) into 1 12.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.034 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.034 * [backup-simplify]: Simplify (- 0) into 0 12.034 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.035 * [backup-simplify]: Simplify (+ 0 0) into 0 12.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.036 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.037 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 12.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.037 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 12.037 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 12.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.038 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.038 * [taylor]: Taking taylor expansion of 2 in n 12.038 * [backup-simplify]: Simplify 2 into 2 12.038 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.038 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.038 * [taylor]: Taking taylor expansion of n in n 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify 1 into 1 12.038 * [backup-simplify]: Simplify (* 1 1) into 1 12.038 * [backup-simplify]: Simplify (/ 1 1) into 1 12.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.041 * [backup-simplify]: Simplify (- 0) into 0 12.041 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.042 * [backup-simplify]: Simplify (- 0) into 0 12.042 * [backup-simplify]: Simplify 0 into 0 12.042 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.043 * [backup-simplify]: Simplify (+ 0 0) into 0 12.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 12.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.046 * [backup-simplify]: Simplify (+ 0 0) into 0 12.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 12.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.046 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 12.046 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 12.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.047 * [taylor]: Taking taylor expansion of 2 in n 12.047 * [backup-simplify]: Simplify 2 into 2 12.047 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.047 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.047 * [taylor]: Taking taylor expansion of n in n 12.047 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify 1 into 1 12.048 * [backup-simplify]: Simplify (* 1 1) into 1 12.048 * [backup-simplify]: Simplify (* 1 1) into 1 12.048 * [backup-simplify]: Simplify (/ 1 1) into 1 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.053 * [backup-simplify]: Simplify (- 0) into 0 12.053 * [backup-simplify]: Simplify 0 into 0 12.053 * [backup-simplify]: Simplify -1 into -1 12.054 * [backup-simplify]: Simplify (/ (- 1) (- (log (exp (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 12.054 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 12.054 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 12.054 * [taylor]: Taking taylor expansion of -1 in n 12.054 * [backup-simplify]: Simplify -1 into -1 12.054 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 12.054 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 12.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 12.054 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.054 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.054 * [taylor]: Taking taylor expansion of f in n 12.054 * [backup-simplify]: Simplify f into f 12.054 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.054 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.054 * [taylor]: Taking taylor expansion of n in n 12.054 * [backup-simplify]: Simplify 0 into 0 12.054 * [backup-simplify]: Simplify 1 into 1 12.054 * [backup-simplify]: Simplify (/ 1 1) into 1 12.054 * [taylor]: Taking taylor expansion of f in n 12.055 * [backup-simplify]: Simplify f into f 12.055 * [backup-simplify]: Simplify (+ 0 1) into 1 12.055 * [backup-simplify]: Simplify (* 1 f) into f 12.055 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.055 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.055 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.055 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.055 * [taylor]: Taking taylor expansion of f in n 12.055 * [backup-simplify]: Simplify f into f 12.055 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.055 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.055 * [taylor]: Taking taylor expansion of n in n 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.055 * [backup-simplify]: Simplify (/ 1 1) into 1 12.055 * [taylor]: Taking taylor expansion of n in n 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.056 * [backup-simplify]: Simplify (+ 0 1) into 1 12.056 * [backup-simplify]: Simplify (* 1 0) into 0 12.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.056 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.057 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.057 * [backup-simplify]: Simplify (/ 1 1) into 1 12.057 * [backup-simplify]: Simplify (- 1) into -1 12.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.058 * [backup-simplify]: Simplify (/ -1 -1) into 1 12.058 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.058 * [taylor]: Taking taylor expansion of -1 in f 12.058 * [backup-simplify]: Simplify -1 into -1 12.058 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.058 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.058 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.058 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.058 * [taylor]: Taking taylor expansion of f in f 12.058 * [backup-simplify]: Simplify 0 into 0 12.058 * [backup-simplify]: Simplify 1 into 1 12.058 * [backup-simplify]: Simplify (/ 1 1) into 1 12.058 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.058 * [taylor]: Taking taylor expansion of n in f 12.058 * [backup-simplify]: Simplify n into n 12.058 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.058 * [taylor]: Taking taylor expansion of f in f 12.058 * [backup-simplify]: Simplify 0 into 0 12.058 * [backup-simplify]: Simplify 1 into 1 12.058 * [backup-simplify]: Simplify (+ 1 0) into 1 12.059 * [backup-simplify]: Simplify (* 1 0) into 0 12.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.059 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.060 * [backup-simplify]: Simplify (/ 1 1) into 1 12.060 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.060 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.060 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.060 * [taylor]: Taking taylor expansion of f in f 12.060 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify 1 into 1 12.060 * [backup-simplify]: Simplify (/ 1 1) into 1 12.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.060 * [taylor]: Taking taylor expansion of n in f 12.060 * [backup-simplify]: Simplify n into n 12.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.060 * [taylor]: Taking taylor expansion of n in f 12.060 * [backup-simplify]: Simplify n into n 12.061 * [backup-simplify]: Simplify (+ 1 0) into 1 12.061 * [backup-simplify]: Simplify (* 1 n) into n 12.061 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.061 * [backup-simplify]: Simplify (+ 1 0) into 1 12.062 * [backup-simplify]: Simplify (/ -1 1) into -1 12.062 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 12.062 * [taylor]: Taking taylor expansion of -1 in f 12.062 * [backup-simplify]: Simplify -1 into -1 12.062 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 12.062 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 12.062 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 12.062 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.062 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.062 * [taylor]: Taking taylor expansion of f in f 12.062 * [backup-simplify]: Simplify 0 into 0 12.062 * [backup-simplify]: Simplify 1 into 1 12.062 * [backup-simplify]: Simplify (/ 1 1) into 1 12.062 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.062 * [taylor]: Taking taylor expansion of n in f 12.062 * [backup-simplify]: Simplify n into n 12.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.063 * [taylor]: Taking taylor expansion of f in f 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [backup-simplify]: Simplify (+ 1 0) into 1 12.063 * [backup-simplify]: Simplify (* 1 0) into 0 12.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.064 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.065 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 12.065 * [backup-simplify]: Simplify (/ 1 1) into 1 12.065 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.065 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.065 * [taylor]: Taking taylor expansion of f in f 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.066 * [backup-simplify]: Simplify (/ 1 1) into 1 12.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.066 * [taylor]: Taking taylor expansion of n in f 12.066 * [backup-simplify]: Simplify n into n 12.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.066 * [taylor]: Taking taylor expansion of n in f 12.066 * [backup-simplify]: Simplify n into n 12.066 * [backup-simplify]: Simplify (+ 1 0) into 1 12.067 * [backup-simplify]: Simplify (* 1 n) into n 12.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.067 * [backup-simplify]: Simplify (+ 1 0) into 1 12.067 * [backup-simplify]: Simplify (/ -1 1) into -1 12.068 * [taylor]: Taking taylor expansion of -1 in n 12.068 * [backup-simplify]: Simplify -1 into -1 12.068 * [backup-simplify]: Simplify -1 into -1 12.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.069 * [backup-simplify]: Simplify (+ 0 0) into 0 12.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 12.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 12.070 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.070 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 12.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 12.071 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.071 * [taylor]: Taking taylor expansion of 2 in n 12.071 * [backup-simplify]: Simplify 2 into 2 12.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.071 * [taylor]: Taking taylor expansion of n in n 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 1 into 1 12.072 * [backup-simplify]: Simplify (/ 1 1) into 1 12.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.073 * [backup-simplify]: Simplify (- 0) into 0 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 0 into 0 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.075 * [backup-simplify]: Simplify (+ 0 0) into 0 12.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 12.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 12.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.077 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.078 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 12.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 12.078 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 12.079 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 12.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.080 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.080 * [taylor]: Taking taylor expansion of 2 in n 12.080 * [backup-simplify]: Simplify 2 into 2 12.080 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.080 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.080 * [taylor]: Taking taylor expansion of n in n 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (* 1 1) into 1 12.081 * [backup-simplify]: Simplify (/ 1 1) into 1 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.085 * [backup-simplify]: Simplify (- 0) into 0 12.085 * [backup-simplify]: Simplify 0 into 0 12.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.087 * [backup-simplify]: Simplify (- 0) into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.089 * [backup-simplify]: Simplify (+ 0 0) into 0 12.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 12.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.092 * [backup-simplify]: Simplify (+ 0 0) into 0 12.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 12.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 12.093 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 12.093 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 12.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.094 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.094 * [taylor]: Taking taylor expansion of 2 in n 12.094 * [backup-simplify]: Simplify 2 into 2 12.094 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.094 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.094 * [taylor]: Taking taylor expansion of n in n 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify 1 into 1 12.094 * [backup-simplify]: Simplify (* 1 1) into 1 12.094 * [backup-simplify]: Simplify (* 1 1) into 1 12.095 * [backup-simplify]: Simplify (/ 1 1) into 1 12.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (- 0) into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify -1 into -1 12.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 12.101 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 12.101 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 12.101 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 12.101 * [taylor]: Taking taylor expansion of n in f 12.101 * [backup-simplify]: Simplify n into n 12.101 * [taylor]: Taking taylor expansion of (+ n f) in f 12.101 * [taylor]: Taking taylor expansion of n in f 12.101 * [backup-simplify]: Simplify n into n 12.101 * [taylor]: Taking taylor expansion of f in f 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 1 into 1 12.101 * [backup-simplify]: Simplify (+ n 0) into n 12.101 * [backup-simplify]: Simplify (/ n n) into 1 12.101 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 12.101 * [taylor]: Taking taylor expansion of n in n 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 1 into 1 12.101 * [taylor]: Taking taylor expansion of (+ n f) in n 12.101 * [taylor]: Taking taylor expansion of n in n 12.101 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [taylor]: Taking taylor expansion of f in n 12.102 * [backup-simplify]: Simplify f into f 12.102 * [backup-simplify]: Simplify (+ 0 f) into f 12.102 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.102 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 12.102 * [taylor]: Taking taylor expansion of n in n 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [taylor]: Taking taylor expansion of (+ n f) in n 12.102 * [taylor]: Taking taylor expansion of n in n 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [taylor]: Taking taylor expansion of f in n 12.102 * [backup-simplify]: Simplify f into f 12.102 * [backup-simplify]: Simplify (+ 0 f) into f 12.102 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.102 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.102 * [taylor]: Taking taylor expansion of f in f 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.102 * [backup-simplify]: Simplify (/ 1 1) into 1 12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.103 * [backup-simplify]: Simplify 0 into 0 12.103 * [backup-simplify]: Simplify (+ 1 0) into 1 12.103 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 12.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 12.103 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.103 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.103 * [taylor]: Taking taylor expansion of f in f 12.103 * [backup-simplify]: Simplify 0 into 0 12.103 * [backup-simplify]: Simplify 1 into 1 12.104 * [backup-simplify]: Simplify (* 1 1) into 1 12.104 * [backup-simplify]: Simplify (/ 1 1) into 1 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.106 * [backup-simplify]: Simplify (- 0) into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify (+ 0 0) into 0 12.107 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 12.107 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 12.107 * [taylor]: Taking taylor expansion of (pow f 3) in f 12.107 * [taylor]: Taking taylor expansion of f in f 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (* 1 1) into 1 12.108 * [backup-simplify]: Simplify (* 1 1) into 1 12.108 * [backup-simplify]: Simplify (/ 1 1) into 1 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.114 * [backup-simplify]: Simplify (- 0) into 0 12.114 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 12.115 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 12.115 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.115 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.115 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.115 * [taylor]: Taking taylor expansion of f in f 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 1 into 1 12.115 * [backup-simplify]: Simplify (/ 1 1) into 1 12.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.116 * [taylor]: Taking taylor expansion of n in f 12.116 * [backup-simplify]: Simplify n into n 12.116 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.116 * [taylor]: Taking taylor expansion of n in f 12.116 * [backup-simplify]: Simplify n into n 12.116 * [backup-simplify]: Simplify (+ 1 0) into 1 12.116 * [backup-simplify]: Simplify (* 1 n) into n 12.116 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.116 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.116 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.116 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.116 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.116 * [taylor]: Taking taylor expansion of f in n 12.116 * [backup-simplify]: Simplify f into f 12.116 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.116 * [taylor]: Taking taylor expansion of n in n 12.116 * [backup-simplify]: Simplify 0 into 0 12.117 * [backup-simplify]: Simplify 1 into 1 12.117 * [backup-simplify]: Simplify (/ 1 1) into 1 12.117 * [taylor]: Taking taylor expansion of n in n 12.117 * [backup-simplify]: Simplify 0 into 0 12.117 * [backup-simplify]: Simplify 1 into 1 12.117 * [backup-simplify]: Simplify (+ 0 1) into 1 12.117 * [backup-simplify]: Simplify (* 1 0) into 0 12.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.118 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.118 * [backup-simplify]: Simplify (/ 1 1) into 1 12.118 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.118 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.118 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.118 * [taylor]: Taking taylor expansion of f in n 12.119 * [backup-simplify]: Simplify f into f 12.119 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.119 * [taylor]: Taking taylor expansion of n in n 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 1 into 1 12.119 * [backup-simplify]: Simplify (/ 1 1) into 1 12.119 * [taylor]: Taking taylor expansion of n in n 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 1 into 1 12.119 * [backup-simplify]: Simplify (+ 0 1) into 1 12.119 * [backup-simplify]: Simplify (* 1 0) into 0 12.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.120 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.120 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.120 * [backup-simplify]: Simplify (/ 1 1) into 1 12.121 * [taylor]: Taking taylor expansion of 1 in f 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 12.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.121 * [backup-simplify]: Simplify (+ 0 0) into 0 12.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 12.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 12.122 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 12.122 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.122 * [taylor]: Taking taylor expansion of f in f 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify (/ 1 1) into 1 12.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.124 * [backup-simplify]: Simplify (- 0) into 0 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 12.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 12.126 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.126 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.126 * [taylor]: Taking taylor expansion of f in f 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (* 1 1) into 1 12.126 * [backup-simplify]: Simplify (/ 1 1) into 1 12.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (- 0) into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 12.133 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 12.133 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 12.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 12.133 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.133 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.133 * [taylor]: Taking taylor expansion of f in f 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [backup-simplify]: Simplify (/ 1 1) into 1 12.133 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.133 * [taylor]: Taking taylor expansion of n in f 12.133 * [backup-simplify]: Simplify n into n 12.133 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.133 * [taylor]: Taking taylor expansion of n in f 12.133 * [backup-simplify]: Simplify n into n 12.134 * [backup-simplify]: Simplify (+ 1 0) into 1 12.134 * [backup-simplify]: Simplify (* 1 n) into n 12.134 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.134 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.134 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.134 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.134 * [taylor]: Taking taylor expansion of f in n 12.134 * [backup-simplify]: Simplify f into f 12.134 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.134 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.134 * [taylor]: Taking taylor expansion of n in n 12.134 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify 1 into 1 12.134 * [backup-simplify]: Simplify (/ 1 1) into 1 12.134 * [taylor]: Taking taylor expansion of n in n 12.134 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify 1 into 1 12.135 * [backup-simplify]: Simplify (+ 0 1) into 1 12.135 * [backup-simplify]: Simplify (* 1 0) into 0 12.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.135 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.136 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.136 * [backup-simplify]: Simplify (/ 1 1) into 1 12.136 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 12.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 12.136 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.136 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.136 * [taylor]: Taking taylor expansion of f in n 12.136 * [backup-simplify]: Simplify f into f 12.136 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.136 * [taylor]: Taking taylor expansion of n in n 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (/ 1 1) into 1 12.136 * [taylor]: Taking taylor expansion of n in n 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (+ 0 1) into 1 12.137 * [backup-simplify]: Simplify (* 1 0) into 0 12.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.138 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 12.138 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 12.139 * [backup-simplify]: Simplify (/ 1 1) into 1 12.139 * [taylor]: Taking taylor expansion of 1 in f 12.139 * [backup-simplify]: Simplify 1 into 1 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 12.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.140 * [backup-simplify]: Simplify (+ 0 0) into 0 12.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 12.141 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 12.141 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.141 * [taylor]: Taking taylor expansion of f in f 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [backup-simplify]: Simplify (/ 1 1) into 1 12.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.142 * [backup-simplify]: Simplify (- 0) into 0 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.144 * [backup-simplify]: Simplify (+ 0 0) into 0 12.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 12.145 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 12.145 * [taylor]: Taking taylor expansion of (pow f 2) in f 12.145 * [taylor]: Taking taylor expansion of f in f 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify 1 into 1 12.145 * [backup-simplify]: Simplify (* 1 1) into 1 12.145 * [backup-simplify]: Simplify (/ 1 1) into 1 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.148 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.149 * [backup-simplify]: Simplify (- 0) into 0 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * * * [progress]: simplifying candidates 12.163 * [simplify]: Simplifying: (expm1 (log (exp (/ f (+ f n))))) (log1p (log (exp (/ f (+ f n))))) (log (* (cbrt (exp (/ f (+ f n)))) (cbrt (exp (/ f (+ f n)))))) (log (cbrt (exp (/ f (+ f n))))) (log (sqrt (exp (/ f (+ f n))))) (log (sqrt (exp (/ f (+ f n))))) (log 1) (log (exp (/ f (+ f n)))) (log (exp (/ f (+ f n)))) (log (exp (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))))) (log (exp (sqrt (/ f (+ f n))))) (log (exp (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (log (exp (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))))) (log (exp (/ (* (cbrt f) (cbrt f)) 1))) (log (exp (/ (* (cbrt f) (cbrt f)) 1))) (log (exp (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (log (exp (/ (sqrt f) (sqrt (+ f n))))) (log (exp (/ (sqrt f) 1))) (log (exp (/ (sqrt f) 1))) (log (exp (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (log (exp (/ 1 (sqrt (+ f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp f)) (log (exp (/ f (+ (pow f 3) (pow n 3))))) (log (exp (/ f (- (* f f) (* n n))))) (log (log (exp (/ f (+ f n))))) (exp (log (exp (/ f (+ f n))))) (* (cbrt (log (exp (/ f (+ f n))))) (cbrt (log (exp (/ f (+ f n)))))) (cbrt (log (exp (/ f (+ f n))))) (* (* (log (exp (/ f (+ f n)))) (log (exp (/ f (+ f n))))) (log (exp (/ f (+ f n))))) (sqrt (log (exp (/ f (+ f n))))) (sqrt (log (exp (/ f (+ f n))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n))))))) (fma (- (cbrt (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n)))))) (fma (- (sqrt (/ n (+ f n)))) (sqrt (/ n (+ f n))) (* (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ (cbrt n) (cbrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n)))))) (fma (- (/ (cbrt n) (sqrt (+ f n)))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (* (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ (cbrt n) (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ (sqrt n) (cbrt (+ f n)))) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))))) (fma (- (/ (sqrt n) (sqrt (+ f n)))) (/ (sqrt n) (sqrt (+ f n))) (* (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (sqrt n) (+ f n)) (/ (sqrt n) 1)))) (fma (- (/ (sqrt n) (+ f n))) (/ (sqrt n) 1) (* (/ (sqrt n) (+ f n)) (/ (sqrt n) 1))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ (sqrt n) (+ f n)) (/ (sqrt n) 1)))) (fma (- (/ (sqrt n) (+ f n))) (/ (sqrt n) 1) (* (/ (sqrt n) (+ f n)) (/ (sqrt n) 1))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))))) (fma (- (/ n (cbrt (+ f n)))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ n (cbrt (+ f n))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ n (sqrt (+ f n))) (/ 1 (sqrt (+ f n)))))) (fma (- (/ n (sqrt (+ f n)))) (/ 1 (sqrt (+ f n))) (* (/ n (sqrt (+ f n))) (/ 1 (sqrt (+ f n))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ n (+ f n)) (/ 1 1)))) (fma (- (/ n (+ f n))) (/ 1 1) (* (/ n (+ f n)) (/ 1 1))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ n (+ f n)) (/ 1 1)))) (fma (- (/ n (+ f n))) (/ 1 1) (* (/ n (+ f n)) (/ 1 1))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ n (+ f n)) 1))) (fma (- (/ n (+ f n))) 1 (* (/ n (+ f n)) 1)) (fma 1 (log (exp (/ f (+ f n)))) (- (* (/ 1 (+ f n)) n))) (fma (- (/ 1 (+ f n))) n (* (/ 1 (+ f n)) n)) (fma 1 (log (exp (/ f (+ f n)))) (- (* (+ (* f f) (- (* n n) (* f n))) (/ n (+ (pow f 3) (pow n 3)))))) (fma (- (+ (* f f) (- (* n n) (* f n)))) (/ n (+ (pow f 3) (pow n 3))) (* (+ (* f f) (- (* n n) (* f n))) (/ n (+ (pow f 3) (pow n 3))))) (fma 1 (log (exp (/ f (+ f n)))) (- (* (- f n) (/ n (- (* f f) (* n n)))))) (fma (- (- f n)) (/ n (- (* f f) (* n n))) (* (- f n) (/ n (- (* f f) (* n n))))) (fma (cbrt (/ f (+ f n))) (log (exp (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))))) (- (* (cbrt (/ n (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ 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(/ n (- (* f f) (* n n))) 0 0 0 -1 1 1 1 -1 -1 0 0 0 12.204 * * [simplify]: Extracting # 0 : cost 0 12.206 * * [simplify]: Extracting # 1 : cost 0 12.212 * * [simplify]: Extracting # 2 : cost 0 12.214 * * [simplify]: Extracting # 3 : cost 0 12.215 * * [simplify]: Extracting # 4 : cost 0 12.216 * * [simplify]: Extracting # 5 : cost 0 12.218 * * [simplify]: Extracting # 6 : cost 0 12.219 * * [simplify]: Extracting # 7 : cost 0 12.220 * * [simplify]: iteration 0 : 606 enodes (cost 28191 ) 12.457 * * [simplify]: Extracting # 0 : cost 0 12.460 * * [simplify]: Extracting # 1 : cost 0 12.462 * * [simplify]: Extracting # 2 : cost 0 12.464 * * [simplify]: Extracting # 3 : cost 0 12.473 * * [simplify]: Extracting # 4 : cost 0 12.477 * * [simplify]: iteration 1 : 1246 enodes (cost 23574 ) 12.937 * * [simplify]: Extracting # 0 : cost 0 12.941 * * [simplify]: Extracting # 1 : cost 0 12.944 * * [simplify]: Extracting # 2 : cost 0 12.946 * * [simplify]: Extracting # 3 : cost 0 12.948 * * [simplify]: Extracting # 4 : cost 0 12.951 * * [simplify]: iteration 2 : 2419 enodes (cost 17393 ) 14.258 * * [simplify]: Extracting # 0 : cost 0 14.274 * * [simplify]: Extracting # 1 : cost 0 14.284 * * [simplify]: Extracting # 2 : cost 0 14.290 * * [simplify]: Extracting # 3 : cost 0 14.296 * * [simplify]: Extracting # 4 : cost 0 14.302 * * [simplify]: iteration done: 5000 enodes (cost 13089 ) 14.311 * [simplify]: Simplified to: (expm1 (/ f (+ f n))) (log1p (/ f (+ f n))) (* 2 (log (cbrt (exp (/ f (+ f n)))))) (log (cbrt (exp (/ f (+ f n))))) (log (sqrt (exp (/ f (+ f n))))) (log (sqrt (exp (/ f (+ f n))))) 0 (/ f (+ n f)) (/ f (+ n f)) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (sqrt (/ f (+ f n))) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))) (* (cbrt f) (cbrt f)) (* (cbrt f) (cbrt f)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (sqrt (+ f n))) (sqrt f) (sqrt f) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) 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-1) (/ -1 (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3))) (/ -1 (* (* (/ 1 (+ f n)) (+ n f)) (/ (- f n) (+ n f)))) (expm1 (/ n (+ f n))) (log1p (/ n (+ f n))) (log (/ n (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (pow (/ n (+ f n)) 3) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (pow (/ n (+ f n)) 3) (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))) (- n) (- (- f) n) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (/ (cbrt n) (sqrt (+ f n))) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ f n)) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ f n)) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (sqrt n) (/ (sqrt n) (+ f n)) (sqrt n) (/ (sqrt n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ n (sqrt (+ f n))) 1 (/ n (+ n f)) 1 (/ n (+ n f)) (/ 1 (+ f n)) (/ (+ f n) n) (/ n (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (sqrt (+ f n))) n n (/ (+ f n) (cbrt n)) (/ (+ f n) (sqrt n)) (/ (+ f n) n) (/ n (+ (pow f 3) (pow n 3))) (/ n (- (* f f) (* n n))) 0 0 0 -1 1 1 1 -1 -1 0 0 0 14.324 * * * [progress]: adding candidates to table 15.328 * [progress]: [Phase 3 of 3] Extracting. 15.328 * * [regime]: Finding splitpoints for: (# # # # #) 15.331 * * * [regime-changes]: Trying 2 branch expressions: (n f) 15.331 * * * * [regimes]: Trying to branch on n from (# # # # #) 15.364 * * * * [regimes]: Trying to branch on f from (# # # # #) 15.397 * * * [regime]: Found split indices: #