1.056 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: Extracting # 1 : cost 0 0.088 * * [simplify]: Extracting # 2 : cost 0 0.088 * * [simplify]: Extracting # 3 : cost 0 0.088 * * [simplify]: Extracting # 4 : cost 0 0.088 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: Extracting # 1 : cost 0 0.104 * * [simplify]: Extracting # 2 : cost 0 0.104 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.111 * * [simplify]: Extracting # 1 : cost 0 0.111 * * [simplify]: Extracting # 2 : cost 0 0.111 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.119 * * [simplify]: Extracting # 0 : cost 0 0.119 * * [simplify]: Extracting # 1 : cost 0 0.119 * * [simplify]: Extracting # 2 : cost 0 0.119 * * [simplify]: iteration 5 : 30 enodes (cost 8 ) 0.128 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.138 * * [simplify]: iteration done: 32 enodes (cost 8 ) 0.172 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.175 * * [progress]: iteration 1 / 4 0.175 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.284 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.292 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.292 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.293 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.294 * [taylor]: Taking taylor expansion of -1 in n 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.294 * [taylor]: Taking taylor expansion of (+ n f) in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of f in n 0.294 * [backup-simplify]: Simplify f into f 0.294 * [taylor]: Taking taylor expansion of (- f n) in n 0.294 * [taylor]: Taking taylor expansion of f in n 0.294 * [backup-simplify]: Simplify f into f 0.294 * [taylor]: Taking taylor expansion of n in n 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ 0 f) into f 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ f 0) into f 0.296 * [backup-simplify]: Simplify (/ f f) into 1 0.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.296 * [taylor]: Taking taylor expansion of -1 in f 0.296 * [backup-simplify]: Simplify -1 into -1 0.296 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.296 * [taylor]: Taking taylor expansion of (+ n f) in f 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [taylor]: Taking taylor expansion of f in f 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of (- f n) in f 0.296 * [taylor]: Taking taylor expansion of f in f 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [backup-simplify]: Simplify (+ n 0) into n 0.296 * [backup-simplify]: Simplify (- n) into (- n) 0.296 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.296 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.296 * [taylor]: Taking taylor expansion of -1 in f 0.296 * [backup-simplify]: Simplify -1 into -1 0.296 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.296 * [taylor]: Taking taylor expansion of (+ n f) in f 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [taylor]: Taking taylor expansion of f in f 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of (- f n) in f 0.297 * [taylor]: Taking taylor expansion of f in f 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of n in f 0.297 * [backup-simplify]: Simplify n into n 0.297 * [backup-simplify]: Simplify (+ n 0) into n 0.297 * [backup-simplify]: Simplify (- n) into (- n) 0.297 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.297 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.298 * [backup-simplify]: Simplify (* -1 -1) into 1 0.298 * [taylor]: Taking taylor expansion of 1 in n 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.301 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.301 * [taylor]: Taking taylor expansion of 2 in n 0.301 * [backup-simplify]: Simplify 2 into 2 0.301 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.319 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.319 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.319 * [taylor]: Taking taylor expansion of 2 in n 0.320 * [backup-simplify]: Simplify 2 into 2 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.320 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [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)))) 0.331 * [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))) 0.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.331 * [taylor]: Taking taylor expansion of 2 in n 0.331 * [backup-simplify]: Simplify 2 into 2 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.331 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.342 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.342 * [taylor]: Taking taylor expansion of -1 in n 0.342 * [backup-simplify]: Simplify -1 into -1 0.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.342 * [taylor]: Taking taylor expansion of f in n 0.342 * [backup-simplify]: Simplify f into f 0.342 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.343 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.343 * [taylor]: Taking taylor expansion of f in n 0.343 * [backup-simplify]: Simplify f into f 0.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ 0 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.345 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.345 * [taylor]: Taking taylor expansion of -1 in f 0.345 * [backup-simplify]: Simplify -1 into -1 0.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.345 * [taylor]: Taking taylor expansion of f in f 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.346 * [taylor]: Taking taylor expansion of n in f 0.346 * [backup-simplify]: Simplify n into n 0.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.346 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.346 * [taylor]: Taking taylor expansion of f in f 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.347 * [taylor]: Taking taylor expansion of n in f 0.347 * [backup-simplify]: Simplify n into n 0.347 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.348 * [taylor]: Taking taylor expansion of -1 in f 0.348 * [backup-simplify]: Simplify -1 into -1 0.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.348 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.348 * [taylor]: Taking taylor expansion of f in f 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.348 * [taylor]: Taking taylor expansion of n in f 0.349 * [backup-simplify]: Simplify n into n 0.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.349 * [taylor]: Taking taylor expansion of f in f 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.349 * [taylor]: Taking taylor expansion of n in f 0.349 * [backup-simplify]: Simplify n into n 0.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (* -1 1) into -1 0.351 * [taylor]: Taking taylor expansion of -1 in n 0.351 * [backup-simplify]: Simplify -1 into -1 0.351 * [backup-simplify]: Simplify -1 into -1 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.353 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.353 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.354 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.354 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.354 * [taylor]: Taking taylor expansion of 2 in n 0.354 * [backup-simplify]: Simplify 2 into 2 0.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.361 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.362 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.362 * [taylor]: Taking taylor expansion of 2 in n 0.362 * [backup-simplify]: Simplify 2 into 2 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.362 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [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))) 0.376 * [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)))) 0.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.376 * [taylor]: Taking taylor expansion of 2 in n 0.376 * [backup-simplify]: Simplify 2 into 2 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.376 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.384 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.384 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.384 * [taylor]: Taking taylor expansion of f in n 0.384 * [backup-simplify]: Simplify f into f 0.384 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.385 * [taylor]: Taking taylor expansion of f in n 0.385 * [backup-simplify]: Simplify f into f 0.385 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.385 * [backup-simplify]: Simplify (+ 0 1) into 1 0.386 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.386 * [taylor]: Taking taylor expansion of f in f 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.386 * [taylor]: Taking taylor expansion of n in f 0.386 * [backup-simplify]: Simplify n into n 0.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.386 * [taylor]: Taking taylor expansion of n in f 0.386 * [backup-simplify]: Simplify n into n 0.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.387 * [taylor]: Taking taylor expansion of f in f 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (- 1) into -1 0.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.388 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.388 * [taylor]: Taking taylor expansion of f in f 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.388 * [taylor]: Taking taylor expansion of n in f 0.388 * [backup-simplify]: Simplify n into n 0.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.388 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.388 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.388 * [taylor]: Taking taylor expansion of n in f 0.388 * [backup-simplify]: Simplify n into n 0.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.388 * [taylor]: Taking taylor expansion of f in f 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (- 1) into -1 0.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.390 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.390 * [taylor]: Taking taylor expansion of -1 in n 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.391 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.391 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.391 * [taylor]: Taking taylor expansion of 2 in n 0.391 * [backup-simplify]: Simplify 2 into 2 0.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.395 * [taylor]: Taking taylor expansion of 2 in n 0.395 * [backup-simplify]: Simplify 2 into 2 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [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)))) 0.403 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.403 * [taylor]: Taking taylor expansion of 2 in n 0.403 * [backup-simplify]: Simplify 2 into 2 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.403 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify -1 into -1 0.410 * * * [progress]: simplifying candidates 0.411 * [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 0.414 * * [simplify]: Extracting # 0 : cost 0 0.414 * * [simplify]: Extracting # 1 : cost 0 0.414 * * [simplify]: Extracting # 2 : cost 0 0.414 * * [simplify]: Extracting # 3 : cost 0 0.414 * * [simplify]: Extracting # 4 : cost 0 0.415 * * [simplify]: Extracting # 5 : cost 0 0.415 * * [simplify]: Extracting # 6 : cost 0 0.415 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.468 * * [simplify]: Extracting # 0 : cost 0 0.468 * * [simplify]: Extracting # 1 : cost 0 0.469 * * [simplify]: Extracting # 2 : cost 0 0.470 * * [simplify]: Extracting # 3 : cost 0 0.471 * * [simplify]: Extracting # 4 : cost 0 0.471 * * [simplify]: iteration 1 : 316 enodes (cost 1395 ) 0.591 * * [simplify]: Extracting # 0 : cost 0 0.593 * * [simplify]: Extracting # 1 : cost 0 0.596 * * [simplify]: Extracting # 2 : cost 0 0.598 * * [simplify]: Extracting # 3 : cost 0 0.600 * * [simplify]: iteration 2 : 1080 enodes (cost 1367 ) 1.213 * * [simplify]: Extracting # 0 : cost 0 1.227 * * [simplify]: Extracting # 1 : cost 0 1.233 * * [simplify]: Extracting # 2 : cost 0 1.239 * * [simplify]: Extracting # 3 : cost 0 1.245 * * [simplify]: Extracting # 4 : cost 0 1.251 * * [simplify]: Extracting # 5 : cost 0 1.261 * * [simplify]: iteration done: 5001 enodes (cost 1358 ) 1.263 * [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)) 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 (+ n f)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (/ (- (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 1.264 * * * [progress]: adding candidates to table 1.666 * * [progress]: iteration 2 / 4 1.666 * * * [progress]: picking best candidate 1.681 * * * * [pick]: Picked # 1.682 * * * [progress]: localizing error 1.699 * * * [progress]: generating rewritten candidates 1.699 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.749 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.792 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.899 * * * [progress]: generating series expansions 1.899 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.899 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.900 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.900 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.900 * [taylor]: Taking taylor expansion of -1 in n 1.900 * [backup-simplify]: Simplify -1 into -1 1.900 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.900 * [taylor]: Taking taylor expansion of (+ n f) in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [taylor]: Taking taylor expansion of f in n 1.900 * [backup-simplify]: Simplify f into f 1.900 * [taylor]: Taking taylor expansion of (- f n) in n 1.900 * [taylor]: Taking taylor expansion of f in n 1.900 * [backup-simplify]: Simplify f into f 1.900 * [taylor]: Taking taylor expansion of n in n 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (+ 0 f) into f 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ f 0) into f 1.901 * [backup-simplify]: Simplify (/ f f) into 1 1.901 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.901 * [taylor]: Taking taylor expansion of -1 in f 1.901 * [backup-simplify]: Simplify -1 into -1 1.901 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.901 * [taylor]: Taking taylor expansion of (+ n f) in f 1.901 * [taylor]: Taking taylor expansion of n in f 1.901 * [backup-simplify]: Simplify n into n 1.901 * [taylor]: Taking taylor expansion of f in f 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of (- f n) in f 1.901 * [taylor]: Taking taylor expansion of f in f 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of n in f 1.901 * [backup-simplify]: Simplify n into n 1.901 * [backup-simplify]: Simplify (+ n 0) into n 1.902 * [backup-simplify]: Simplify (- n) into (- n) 1.902 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.902 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.902 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.902 * [taylor]: Taking taylor expansion of -1 in f 1.902 * [backup-simplify]: Simplify -1 into -1 1.902 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.902 * [taylor]: Taking taylor expansion of (+ n f) in f 1.902 * [taylor]: Taking taylor expansion of n in f 1.902 * [backup-simplify]: Simplify n into n 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of (- f n) in f 1.902 * [taylor]: Taking taylor expansion of f in f 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of n in f 1.902 * [backup-simplify]: Simplify n into n 1.902 * [backup-simplify]: Simplify (+ n 0) into n 1.902 * [backup-simplify]: Simplify (- n) into (- n) 1.902 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.902 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.903 * [backup-simplify]: Simplify (* -1 -1) into 1 1.903 * [taylor]: Taking taylor expansion of 1 in n 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (+ 0 1) into 1 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ 1 0) into 1 1.905 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.905 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.905 * [taylor]: Taking taylor expansion of 2 in n 1.905 * [backup-simplify]: Simplify 2 into 2 1.905 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.910 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.910 * [taylor]: Taking taylor expansion of 2 in n 1.910 * [backup-simplify]: Simplify 2 into 2 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.910 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.910 * [taylor]: Taking taylor expansion of n in n 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 1.926 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 1.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.926 * [taylor]: Taking taylor expansion of 2 in n 1.926 * [backup-simplify]: Simplify 2 into 2 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.926 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.926 * [taylor]: Taking taylor expansion of n in n 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (* 1 1) into 1 1.926 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.932 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.932 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.932 * [taylor]: Taking taylor expansion of -1 in n 1.932 * [backup-simplify]: Simplify -1 into -1 1.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.932 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.932 * [taylor]: Taking taylor expansion of f in n 1.932 * [backup-simplify]: Simplify f into f 1.932 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.932 * [taylor]: Taking taylor expansion of n in n 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.933 * [taylor]: Taking taylor expansion of f in n 1.933 * [backup-simplify]: Simplify f into f 1.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.933 * [taylor]: Taking taylor expansion of n in n 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [backup-simplify]: Simplify (+ 0 1) into 1 1.934 * [backup-simplify]: Simplify (- 1) into -1 1.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.935 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.935 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.935 * [taylor]: Taking taylor expansion of -1 in f 1.935 * [backup-simplify]: Simplify -1 into -1 1.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.935 * [taylor]: Taking taylor expansion of f in f 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.935 * [taylor]: Taking taylor expansion of n in f 1.935 * [backup-simplify]: Simplify n into n 1.935 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.935 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.935 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.935 * [taylor]: Taking taylor expansion of f in f 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.935 * [taylor]: Taking taylor expansion of n in f 1.936 * [backup-simplify]: Simplify n into n 1.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.936 * [taylor]: Taking taylor expansion of -1 in f 1.936 * [backup-simplify]: Simplify -1 into -1 1.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.936 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.936 * [taylor]: Taking taylor expansion of f in f 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.937 * [taylor]: Taking taylor expansion of n in f 1.937 * [backup-simplify]: Simplify n into n 1.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.937 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.937 * [taylor]: Taking taylor expansion of f in f 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.937 * [taylor]: Taking taylor expansion of n in f 1.937 * [backup-simplify]: Simplify n into n 1.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [backup-simplify]: Simplify (* -1 1) into -1 1.939 * [taylor]: Taking taylor expansion of -1 in n 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.940 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.940 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.940 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.940 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.940 * [taylor]: Taking taylor expansion of 2 in n 1.940 * [backup-simplify]: Simplify 2 into 2 1.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.940 * [taylor]: Taking taylor expansion of n in n 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.946 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.946 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.946 * [taylor]: Taking taylor expansion of 2 in n 1.946 * [backup-simplify]: Simplify 2 into 2 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.946 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.946 * [taylor]: Taking taylor expansion of n in n 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* 1 1) into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.954 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.954 * [taylor]: Taking taylor expansion of 2 in n 1.954 * [backup-simplify]: Simplify 2 into 2 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.954 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.954 * [taylor]: Taking taylor expansion of n in n 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify -1 into -1 1.960 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.960 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.960 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.960 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.960 * [taylor]: Taking taylor expansion of f in n 1.961 * [backup-simplify]: Simplify f into f 1.961 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.961 * [taylor]: Taking taylor expansion of n in n 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.961 * [taylor]: Taking taylor expansion of n in n 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.962 * [taylor]: Taking taylor expansion of f in n 1.962 * [backup-simplify]: Simplify f into f 1.962 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.962 * [backup-simplify]: Simplify (+ 0 1) into 1 1.963 * [backup-simplify]: Simplify (+ 1 0) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.963 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.963 * [taylor]: Taking taylor expansion of f in f 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.964 * [taylor]: Taking taylor expansion of n in f 1.964 * [backup-simplify]: Simplify n into n 1.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.964 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.964 * [taylor]: Taking taylor expansion of n in f 1.964 * [backup-simplify]: Simplify n into n 1.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.964 * [taylor]: Taking taylor expansion of f in f 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [backup-simplify]: Simplify (+ 1 0) into 1 1.965 * [backup-simplify]: Simplify (- 1) into -1 1.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.966 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.966 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.966 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.966 * [taylor]: Taking taylor expansion of f in f 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ 1 1) into 1 1.967 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.967 * [taylor]: Taking taylor expansion of n in f 1.967 * [backup-simplify]: Simplify n into n 1.967 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.967 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.967 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.967 * [taylor]: Taking taylor expansion of n in f 1.967 * [backup-simplify]: Simplify n into n 1.967 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.967 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.967 * [taylor]: Taking taylor expansion of f in f 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (+ 1 0) into 1 1.968 * [backup-simplify]: Simplify (- 1) into -1 1.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.969 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.969 * [taylor]: Taking taylor expansion of -1 in n 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [backup-simplify]: Simplify -1 into -1 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.972 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.972 * [taylor]: Taking taylor expansion of 2 in n 1.972 * [backup-simplify]: Simplify 2 into 2 1.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.972 * [taylor]: Taking taylor expansion of n in n 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.979 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.979 * [taylor]: Taking taylor expansion of 2 in n 1.979 * [backup-simplify]: Simplify 2 into 2 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.979 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.979 * [taylor]: Taking taylor expansion of n in n 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.989 * [taylor]: Taking taylor expansion of 2 in n 1.989 * [backup-simplify]: Simplify 2 into 2 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.989 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- 0) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify -1 into -1 1.995 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.996 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 1.996 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 1.996 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 1.996 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.996 * [taylor]: Taking taylor expansion of -1 in n 1.996 * [backup-simplify]: Simplify -1 into -1 1.996 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.996 * [taylor]: Taking taylor expansion of (+ n f) in n 1.996 * [taylor]: Taking taylor expansion of n in n 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [taylor]: Taking taylor expansion of f in n 1.996 * [backup-simplify]: Simplify f into f 1.996 * [taylor]: Taking taylor expansion of (- f n) in n 1.996 * [taylor]: Taking taylor expansion of f in n 1.996 * [backup-simplify]: Simplify f into f 1.996 * [taylor]: Taking taylor expansion of n in n 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (+ 0 f) into f 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (+ f 0) into f 1.996 * [backup-simplify]: Simplify (/ f f) into 1 1.997 * [backup-simplify]: Simplify (* -1 1) into -1 1.997 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 1.997 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.997 * [taylor]: Taking taylor expansion of -1 in f 1.997 * [backup-simplify]: Simplify -1 into -1 1.997 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.997 * [taylor]: Taking taylor expansion of (+ n f) in f 1.997 * [taylor]: Taking taylor expansion of n in f 1.997 * [backup-simplify]: Simplify n into n 1.997 * [taylor]: Taking taylor expansion of f in f 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (- f n) in f 1.997 * [taylor]: Taking taylor expansion of f in f 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of n in f 1.997 * [backup-simplify]: Simplify n into n 1.997 * [backup-simplify]: Simplify (+ n 0) into n 1.997 * [backup-simplify]: Simplify (- n) into (- n) 1.997 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.997 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.997 * [backup-simplify]: Simplify (* -1 -1) into 1 1.997 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 1.997 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.997 * [taylor]: Taking taylor expansion of -1 in f 1.997 * [backup-simplify]: Simplify -1 into -1 1.998 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.998 * [taylor]: Taking taylor expansion of (+ n f) in f 1.998 * [taylor]: Taking taylor expansion of n in f 1.998 * [backup-simplify]: Simplify n into n 1.998 * [taylor]: Taking taylor expansion of f in f 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (- f n) in f 1.998 * [taylor]: Taking taylor expansion of f in f 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of n in f 1.998 * [backup-simplify]: Simplify n into n 1.998 * [backup-simplify]: Simplify (+ n 0) into n 1.998 * [backup-simplify]: Simplify (- n) into (- n) 1.998 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.998 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.998 * [backup-simplify]: Simplify (* -1 -1) into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [taylor]: Taking taylor expansion of 1 in n 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (+ 0 1) into 1 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ 1 0) into 1 2.000 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.000 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.000 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 2.000 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 2.000 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.000 * [taylor]: Taking taylor expansion of 6 in n 2.000 * [backup-simplify]: Simplify 6 into 6 2.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.000 * [taylor]: Taking taylor expansion of n in n 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.003 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.003 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 2.004 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 2.004 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.004 * [taylor]: Taking taylor expansion of 18 in n 2.004 * [backup-simplify]: Simplify 18 into 18 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.004 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.004 * [taylor]: Taking taylor expansion of n in n 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [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)))) 2.010 * [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))) 2.010 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 2.011 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 2.011 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.011 * [taylor]: Taking taylor expansion of 38 in n 2.011 * [backup-simplify]: Simplify 38 into 38 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.011 * [taylor]: Taking taylor expansion of n in n 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 2.021 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 2.021 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 2.021 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.021 * [taylor]: Taking taylor expansion of -1 in n 2.021 * [backup-simplify]: Simplify -1 into -1 2.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.021 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.021 * [taylor]: Taking taylor expansion of f in n 2.021 * [backup-simplify]: Simplify f into f 2.021 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.021 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.021 * [taylor]: Taking taylor expansion of n in n 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.022 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.022 * [taylor]: Taking taylor expansion of f in n 2.022 * [backup-simplify]: Simplify f into f 2.022 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.022 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.022 * [taylor]: Taking taylor expansion of n in n 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.023 * [backup-simplify]: Simplify (+ 0 1) into 1 2.023 * [backup-simplify]: Simplify (- 1) into -1 2.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.024 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.024 * [backup-simplify]: Simplify (* -1 -1) into 1 2.024 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 2.024 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.024 * [taylor]: Taking taylor expansion of -1 in f 2.025 * [backup-simplify]: Simplify -1 into -1 2.025 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.025 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.025 * [taylor]: Taking taylor expansion of f in f 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.025 * [taylor]: Taking taylor expansion of n in f 2.025 * [backup-simplify]: Simplify n into n 2.025 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.025 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.025 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.025 * [taylor]: Taking taylor expansion of f in f 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.026 * [taylor]: Taking taylor expansion of n in f 2.026 * [backup-simplify]: Simplify n into n 2.026 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify (* -1 1) into -1 2.027 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 2.028 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.028 * [taylor]: Taking taylor expansion of -1 in f 2.028 * [backup-simplify]: Simplify -1 into -1 2.028 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.028 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.028 * [taylor]: Taking taylor expansion of f in f 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.028 * [taylor]: Taking taylor expansion of n in f 2.028 * [backup-simplify]: Simplify n into n 2.028 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.028 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.028 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.028 * [taylor]: Taking taylor expansion of f in f 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.029 * [taylor]: Taking taylor expansion of n in f 2.029 * [backup-simplify]: Simplify n into n 2.029 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.032 * [backup-simplify]: Simplify (+ 1 0) into 1 2.033 * [backup-simplify]: Simplify (+ 1 0) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [backup-simplify]: Simplify (* -1 1) into -1 2.035 * [backup-simplify]: Simplify (* -1 -1) into 1 2.035 * [backup-simplify]: Simplify (* -1 1) into -1 2.036 * [taylor]: Taking taylor expansion of -1 in n 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.038 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.038 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.038 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.039 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 2.039 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 2.039 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 2.039 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.039 * [taylor]: Taking taylor expansion of 6 in n 2.039 * [backup-simplify]: Simplify 6 into 6 2.039 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.039 * [taylor]: Taking taylor expansion of n in n 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.044 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.045 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 2.045 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 2.045 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 2.045 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.045 * [taylor]: Taking taylor expansion of 18 in n 2.045 * [backup-simplify]: Simplify 18 into 18 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.045 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.046 * [taylor]: Taking taylor expansion of n in n 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.052 * [backup-simplify]: Simplify (- 0) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [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))) 2.054 * [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)))) 2.055 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 2.055 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 2.055 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 2.055 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.055 * [taylor]: Taking taylor expansion of 38 in n 2.055 * [backup-simplify]: Simplify 38 into 38 2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.055 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.055 * [taylor]: Taking taylor expansion of n in n 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* 1 1) into 1 2.056 * [backup-simplify]: Simplify (* 1 1) into 1 2.056 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 2.062 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 2.062 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 2.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.062 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.062 * [taylor]: Taking taylor expansion of f in n 2.062 * [backup-simplify]: Simplify f into f 2.062 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.062 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.062 * [taylor]: Taking taylor expansion of n in n 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.062 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.062 * [taylor]: Taking taylor expansion of n in n 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.063 * [taylor]: Taking taylor expansion of f in n 2.063 * [backup-simplify]: Simplify f into f 2.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.063 * [backup-simplify]: Simplify (+ 0 1) into 1 2.063 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 2.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.064 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.064 * [taylor]: Taking taylor expansion of f in f 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.064 * [taylor]: Taking taylor expansion of n in f 2.064 * [backup-simplify]: Simplify n into n 2.064 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.064 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.064 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.064 * [taylor]: Taking taylor expansion of n in f 2.064 * [backup-simplify]: Simplify n into n 2.064 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.064 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.064 * [taylor]: Taking taylor expansion of f in f 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (- 1) into -1 2.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.066 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.066 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 2.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.066 * [taylor]: Taking taylor expansion of f in f 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.066 * [taylor]: Taking taylor expansion of n in f 2.066 * [backup-simplify]: Simplify n into n 2.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.066 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.066 * [taylor]: Taking taylor expansion of n in f 2.066 * [backup-simplify]: Simplify n into n 2.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.066 * [taylor]: Taking taylor expansion of f in f 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [backup-simplify]: Simplify (- 1) into -1 2.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.067 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.068 * [backup-simplify]: Simplify (* -1 -1) into 1 2.068 * [backup-simplify]: Simplify (* -1 1) into -1 2.068 * [taylor]: Taking taylor expansion of -1 in n 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [backup-simplify]: Simplify -1 into -1 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.070 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.070 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 2.070 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 2.070 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 2.070 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 2.070 * [taylor]: Taking taylor expansion of 6 in n 2.070 * [backup-simplify]: Simplify 6 into 6 2.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.070 * [taylor]: Taking taylor expansion of n in n 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.075 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 2.075 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 2.075 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 2.075 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 2.075 * [taylor]: Taking taylor expansion of 18 in n 2.075 * [backup-simplify]: Simplify 18 into 18 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.075 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.075 * [taylor]: Taking taylor expansion of n in n 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [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)))) 2.089 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 2.090 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 2.090 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 2.090 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 2.090 * [taylor]: Taking taylor expansion of 38 in n 2.091 * [backup-simplify]: Simplify 38 into 38 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.091 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.091 * [taylor]: Taking taylor expansion of n in n 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.092 * [backup-simplify]: Simplify (* 1 1) into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (- 0) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify -1 into -1 2.102 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.102 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 2.102 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 2.102 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 2.102 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 2.102 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.102 * [taylor]: Taking taylor expansion of -1 in n 2.102 * [backup-simplify]: Simplify -1 into -1 2.103 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.104 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.104 * [taylor]: Taking taylor expansion of (+ n f) in n 2.104 * [taylor]: Taking taylor expansion of n in n 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of f in n 2.104 * [backup-simplify]: Simplify f into f 2.104 * [taylor]: Taking taylor expansion of (- f n) in n 2.104 * [taylor]: Taking taylor expansion of f in n 2.104 * [backup-simplify]: Simplify f into f 2.104 * [taylor]: Taking taylor expansion of n in n 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (+ 0 f) into f 2.105 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify (+ f 0) into f 2.105 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 2.105 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.105 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.105 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.105 * [taylor]: Taking taylor expansion of -1 in f 2.106 * [backup-simplify]: Simplify -1 into -1 2.106 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.106 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.106 * [taylor]: Taking taylor expansion of (+ n f) in f 2.106 * [taylor]: Taking taylor expansion of n in f 2.106 * [backup-simplify]: Simplify n into n 2.106 * [taylor]: Taking taylor expansion of f in f 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [taylor]: Taking taylor expansion of (- f n) in f 2.106 * [taylor]: Taking taylor expansion of f in f 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [taylor]: Taking taylor expansion of n in f 2.106 * [backup-simplify]: Simplify n into n 2.106 * [backup-simplify]: Simplify (+ n 0) into n 2.107 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 2.107 * [backup-simplify]: Simplify (- n) into (- n) 2.107 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.107 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 2.107 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 2.107 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 2.107 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.107 * [taylor]: Taking taylor expansion of -1 in f 2.107 * [backup-simplify]: Simplify -1 into -1 2.108 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.108 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.108 * [taylor]: Taking taylor expansion of (+ n f) in f 2.108 * [taylor]: Taking taylor expansion of n in f 2.108 * [backup-simplify]: Simplify n into n 2.108 * [taylor]: Taking taylor expansion of f in f 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (- f n) in f 2.108 * [taylor]: Taking taylor expansion of f in f 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of n in f 2.108 * [backup-simplify]: Simplify n into n 2.108 * [backup-simplify]: Simplify (+ n 0) into n 2.109 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 2.109 * [backup-simplify]: Simplify (- n) into (- n) 2.109 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.109 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 2.109 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 2.109 * [taylor]: Taking taylor expansion of -1 in n 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.109 * [taylor]: Taking taylor expansion of -1 in n 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.110 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.110 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.111 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.111 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (+ 1 0) into 1 2.113 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 2.113 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 2.113 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.113 * [taylor]: Taking taylor expansion of 2 in n 2.114 * [backup-simplify]: Simplify 2 into 2 2.114 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.114 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.114 * [taylor]: Taking taylor expansion of -1 in n 2.114 * [backup-simplify]: Simplify -1 into -1 2.114 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.114 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.114 * [taylor]: Taking taylor expansion of n in n 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 2.116 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.119 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 2.120 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 2.120 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.120 * [taylor]: Taking taylor expansion of 2 in n 2.120 * [backup-simplify]: Simplify 2 into 2 2.120 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.120 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.120 * [taylor]: Taking taylor expansion of -1 in n 2.120 * [backup-simplify]: Simplify -1 into -1 2.121 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.121 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.121 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.121 * [taylor]: Taking taylor expansion of n in n 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.130 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 2.132 * [backup-simplify]: Simplify (- 0) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 2.134 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 2.134 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.134 * [taylor]: Taking taylor expansion of 2 in n 2.134 * [backup-simplify]: Simplify 2 into 2 2.134 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.134 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.134 * [taylor]: Taking taylor expansion of -1 in n 2.134 * [backup-simplify]: Simplify -1 into -1 2.135 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.135 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.135 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.135 * [taylor]: Taking taylor expansion of n in n 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.147 * [backup-simplify]: Simplify (- 0) into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 2.148 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 2.148 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.148 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 2.148 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 2.148 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.148 * [taylor]: Taking taylor expansion of -1 in n 2.148 * [backup-simplify]: Simplify -1 into -1 2.148 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.148 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.148 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.149 * [taylor]: Taking taylor expansion of f in n 2.149 * [backup-simplify]: Simplify f into f 2.149 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.149 * [taylor]: Taking taylor expansion of n in n 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.149 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.149 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.149 * [taylor]: Taking taylor expansion of f in n 2.149 * [backup-simplify]: Simplify f into f 2.149 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.149 * [taylor]: Taking taylor expansion of n in n 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [backup-simplify]: Simplify (+ 0 1) into 1 2.150 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 2.150 * [backup-simplify]: Simplify (- 1) into -1 2.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.151 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 2.151 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 2.151 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 2.151 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.151 * [taylor]: Taking taylor expansion of -1 in f 2.151 * [backup-simplify]: Simplify -1 into -1 2.152 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.152 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.152 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.152 * [taylor]: Taking taylor expansion of f in f 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (/ 1 1) into 1 2.152 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.152 * [taylor]: Taking taylor expansion of n in f 2.152 * [backup-simplify]: Simplify n into n 2.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.153 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.153 * [taylor]: Taking taylor expansion of f in f 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.153 * [taylor]: Taking taylor expansion of n in f 2.153 * [backup-simplify]: Simplify n into n 2.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.153 * [backup-simplify]: Simplify (+ 1 0) into 1 2.154 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 2.154 * [backup-simplify]: Simplify (+ 1 0) into 1 2.155 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.155 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 2.155 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 2.155 * [taylor]: Taking taylor expansion of (cbrt -1) in f 2.155 * [taylor]: Taking taylor expansion of -1 in f 2.155 * [backup-simplify]: Simplify -1 into -1 2.155 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.155 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.155 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.156 * [taylor]: Taking taylor expansion of f in f 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.156 * [taylor]: Taking taylor expansion of n in f 2.156 * [backup-simplify]: Simplify n into n 2.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.156 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.156 * [taylor]: Taking taylor expansion of f in f 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.156 * [taylor]: Taking taylor expansion of n in f 2.156 * [backup-simplify]: Simplify n into n 2.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.157 * [backup-simplify]: Simplify (+ 1 0) into 1 2.157 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 2.157 * [backup-simplify]: Simplify (+ 1 0) into 1 2.158 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.158 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.158 * [taylor]: Taking taylor expansion of -1 in n 2.158 * [backup-simplify]: Simplify -1 into -1 2.158 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.159 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.159 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.160 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.161 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.162 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 2.162 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 2.162 * [taylor]: Taking taylor expansion of 2 in n 2.162 * [backup-simplify]: Simplify 2 into 2 2.163 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 2.163 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.163 * [taylor]: Taking taylor expansion of -1 in n 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.164 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.164 * [taylor]: Taking taylor expansion of n in n 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.171 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 2.175 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 2.175 * [taylor]: Taking taylor expansion of 2 in n 2.175 * [backup-simplify]: Simplify 2 into 2 2.175 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 2.175 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.175 * [taylor]: Taking taylor expansion of -1 in n 2.175 * [backup-simplify]: Simplify -1 into -1 2.175 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.176 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.176 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.176 * [taylor]: Taking taylor expansion of n in n 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.178 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.194 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.195 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 2.199 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 2.199 * [taylor]: Taking taylor expansion of 2 in n 2.199 * [backup-simplify]: Simplify 2 into 2 2.199 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 2.199 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.199 * [taylor]: Taking taylor expansion of -1 in n 2.199 * [backup-simplify]: Simplify -1 into -1 2.200 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.200 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.200 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.201 * [taylor]: Taking taylor expansion of n in n 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.202 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 2.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.217 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.217 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.217 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.217 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.217 * [taylor]: Taking taylor expansion of f in n 2.217 * [backup-simplify]: Simplify f into f 2.217 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.218 * [taylor]: Taking taylor expansion of n in n 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.218 * [taylor]: Taking taylor expansion of f in n 2.218 * [backup-simplify]: Simplify f into f 2.218 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.219 * [backup-simplify]: Simplify (+ 0 1) into 1 2.219 * [backup-simplify]: Simplify (+ 1 0) into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.220 * [taylor]: Taking taylor expansion of f in f 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.220 * [taylor]: Taking taylor expansion of n in f 2.220 * [backup-simplify]: Simplify n into n 2.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.220 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.220 * [taylor]: Taking taylor expansion of n in f 2.220 * [backup-simplify]: Simplify n into n 2.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.221 * [taylor]: Taking taylor expansion of f in f 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [backup-simplify]: Simplify (+ 1 0) into 1 2.222 * [backup-simplify]: Simplify (- 1) into -1 2.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.223 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.223 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.223 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.223 * [taylor]: Taking taylor expansion of f in f 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.223 * [taylor]: Taking taylor expansion of n in f 2.223 * [backup-simplify]: Simplify n into n 2.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.223 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.224 * [taylor]: Taking taylor expansion of n in f 2.224 * [backup-simplify]: Simplify n into n 2.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.224 * [taylor]: Taking taylor expansion of f in f 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (+ 1 0) into 1 2.225 * [backup-simplify]: Simplify (- 1) into -1 2.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.226 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.226 * [taylor]: Taking taylor expansion of -1 in n 2.226 * [backup-simplify]: Simplify -1 into -1 2.226 * [backup-simplify]: Simplify -1 into -1 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (- 0) into 0 2.228 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.228 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.228 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.228 * [taylor]: Taking taylor expansion of 2 in n 2.229 * [backup-simplify]: Simplify 2 into 2 2.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.231 * [backup-simplify]: Simplify (- 0) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.234 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.234 * [taylor]: Taking taylor expansion of 2 in n 2.234 * [backup-simplify]: Simplify 2 into 2 2.234 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.234 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.234 * [taylor]: Taking taylor expansion of n in n 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (* 1 1) into 1 2.235 * [backup-simplify]: Simplify (/ 1 1) into 1 2.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.238 * [backup-simplify]: Simplify (- 0) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.239 * [backup-simplify]: Simplify (- 0) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (- 0) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [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)))) 2.242 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.242 * [taylor]: Taking taylor expansion of 2 in n 2.242 * [backup-simplify]: Simplify 2 into 2 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.242 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.242 * [taylor]: Taking taylor expansion of n in n 2.242 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (- 0) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify -1 into -1 2.249 * * * [progress]: simplifying candidates 2.260 * [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 (- (+ 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[simplify]: Extracting # 2 : cost 0 2.548 * * [simplify]: Extracting # 3 : cost 0 2.551 * * [simplify]: Extracting # 4 : cost 0 2.553 * * [simplify]: iteration 1 : 1265 enodes (cost 6869 ) 2.896 * * [simplify]: Extracting # 0 : cost 0 2.905 * * [simplify]: Extracting # 1 : cost 0 2.916 * * [simplify]: Extracting # 2 : cost 0 2.930 * * [simplify]: Extracting # 3 : cost 0 2.943 * * [simplify]: Extracting # 4 : cost 0 2.956 * * [simplify]: Extracting # 5 : cost 0 2.971 * * [simplify]: iteration done: 5001 enodes (cost 6448 ) 2.976 * [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 (pow (cbrt (/ (- (+ f n)) (- f n))) 6)) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- f n)) (cbrt (/ (* (- (+ f n)) (- (+ f n))) 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(- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (cbrt (/ -1 (* (- f n) (- 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) (+ f n)) (* (- f n) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (/ (cbrt (* (+ f n) (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (cbrt (* (+ f n) (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (cbrt (* (+ f n) (+ 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)) (cbrt (/ 1 (* (- f n) (- 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 (/ 1 (* (- f n) (- 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)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (fma f f (* n (+ f n))) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (pow (cbrt (/ (- (+ f n)) (- f n))) 6)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ f n)) (- f n) (cbrt (pow (cbrt (/ (- (+ f n)) (- f n))) 6)) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 -1 -1 1 -1 -1 1 -1 -1 2.989 * * * [progress]: adding candidates to table 4.095 * * [progress]: iteration 3 / 4 4.095 * * * [progress]: picking best candidate 4.108 * * * * [pick]: Picked # 4.108 * * * [progress]: localizing error 4.124 * * * [progress]: generating rewritten candidates 4.124 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 4.168 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 4.235 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.366 * * * [progress]: generating series expansions 4.366 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 4.366 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.366 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.366 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.366 * [taylor]: Taking taylor expansion of -1 in n 4.366 * [backup-simplify]: Simplify -1 into -1 4.366 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.366 * [taylor]: Taking taylor expansion of (+ n f) in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [taylor]: Taking taylor expansion of f in n 4.366 * [backup-simplify]: Simplify f into f 4.366 * [taylor]: Taking taylor expansion of (- f n) in n 4.366 * [taylor]: Taking taylor expansion of f in n 4.366 * [backup-simplify]: Simplify f into f 4.366 * [taylor]: Taking taylor expansion of n in n 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (+ 0 f) into f 4.367 * [backup-simplify]: Simplify (- 0) into 0 4.367 * [backup-simplify]: Simplify (+ f 0) into f 4.367 * [backup-simplify]: Simplify (/ f f) into 1 4.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.367 * [taylor]: Taking taylor expansion of -1 in f 4.367 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.367 * [taylor]: Taking taylor expansion of (+ n f) in f 4.367 * [taylor]: Taking taylor expansion of n in f 4.367 * [backup-simplify]: Simplify n into n 4.367 * [taylor]: Taking taylor expansion of f in f 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of (- f n) in f 4.367 * [taylor]: Taking taylor expansion of f in f 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of n in f 4.367 * [backup-simplify]: Simplify n into n 4.367 * [backup-simplify]: Simplify (+ n 0) into n 4.367 * [backup-simplify]: Simplify (- n) into (- n) 4.367 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.367 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.367 * [taylor]: Taking taylor expansion of -1 in f 4.367 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.367 * [taylor]: Taking taylor expansion of (+ n f) in f 4.367 * [taylor]: Taking taylor expansion of n in f 4.368 * [backup-simplify]: Simplify n into n 4.368 * [taylor]: Taking taylor expansion of f in f 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of (- f n) in f 4.368 * [taylor]: Taking taylor expansion of f in f 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [taylor]: Taking taylor expansion of n in f 4.368 * [backup-simplify]: Simplify n into n 4.368 * [backup-simplify]: Simplify (+ n 0) into n 4.368 * [backup-simplify]: Simplify (- n) into (- n) 4.368 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.368 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.368 * [backup-simplify]: Simplify (* -1 -1) into 1 4.368 * [taylor]: Taking taylor expansion of 1 in n 4.368 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (+ 0 1) into 1 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.369 * [backup-simplify]: Simplify (+ 1 0) into 1 4.369 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.370 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.370 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.370 * [taylor]: Taking taylor expansion of 2 in n 4.370 * [backup-simplify]: Simplify 2 into 2 4.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.370 * [taylor]: Taking taylor expansion of n in n 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.371 * [backup-simplify]: Simplify (- 0) into 0 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.372 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.372 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.372 * [taylor]: Taking taylor expansion of 2 in n 4.372 * [backup-simplify]: Simplify 2 into 2 4.372 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.372 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.372 * [taylor]: Taking taylor expansion of n in n 4.372 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify 1 into 1 4.373 * [backup-simplify]: Simplify (* 1 1) into 1 4.373 * [backup-simplify]: Simplify (/ 1 1) into 1 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.377 * [backup-simplify]: Simplify (- 0) into 0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.378 * [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)))) 4.378 * [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))) 4.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.378 * [taylor]: Taking taylor expansion of 2 in n 4.378 * [backup-simplify]: Simplify 2 into 2 4.378 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.378 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.378 * [taylor]: Taking taylor expansion of n in n 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (* 1 1) into 1 4.379 * [backup-simplify]: Simplify (* 1 1) into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.384 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.384 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.384 * [taylor]: Taking taylor expansion of -1 in n 4.384 * [backup-simplify]: Simplify -1 into -1 4.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.384 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.384 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.385 * [taylor]: Taking taylor expansion of f in n 4.385 * [backup-simplify]: Simplify f into f 4.385 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.385 * [taylor]: Taking taylor expansion of n in n 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.385 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.385 * [taylor]: Taking taylor expansion of f in n 4.385 * [backup-simplify]: Simplify f into f 4.385 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.385 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.385 * [taylor]: Taking taylor expansion of n in n 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (/ 1 1) into 1 4.386 * [backup-simplify]: Simplify (+ 0 1) into 1 4.386 * [backup-simplify]: Simplify (- 1) into -1 4.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.386 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.386 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.386 * [taylor]: Taking taylor expansion of -1 in f 4.386 * [backup-simplify]: Simplify -1 into -1 4.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.386 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.387 * [taylor]: Taking taylor expansion of f in f 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (/ 1 1) into 1 4.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.387 * [taylor]: Taking taylor expansion of n in f 4.387 * [backup-simplify]: Simplify n into n 4.387 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.387 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.387 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.387 * [taylor]: Taking taylor expansion of f in f 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (/ 1 1) into 1 4.387 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.387 * [taylor]: Taking taylor expansion of n in f 4.387 * [backup-simplify]: Simplify n into n 4.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.388 * [backup-simplify]: Simplify (+ 1 0) into 1 4.388 * [backup-simplify]: Simplify (+ 1 0) into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.388 * [taylor]: Taking taylor expansion of -1 in f 4.388 * [backup-simplify]: Simplify -1 into -1 4.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.388 * [taylor]: Taking taylor expansion of f in f 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.389 * [taylor]: Taking taylor expansion of n in f 4.389 * [backup-simplify]: Simplify n into n 4.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.389 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.389 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.389 * [taylor]: Taking taylor expansion of f in f 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.389 * [taylor]: Taking taylor expansion of n in f 4.389 * [backup-simplify]: Simplify n into n 4.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [backup-simplify]: Simplify (* -1 1) into -1 4.390 * [taylor]: Taking taylor expansion of -1 in n 4.390 * [backup-simplify]: Simplify -1 into -1 4.390 * [backup-simplify]: Simplify -1 into -1 4.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.391 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.392 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.392 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.392 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.392 * [taylor]: Taking taylor expansion of 2 in n 4.392 * [backup-simplify]: Simplify 2 into 2 4.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.392 * [taylor]: Taking taylor expansion of n in n 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (/ 1 1) into 1 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.394 * [backup-simplify]: Simplify (- 0) into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.394 * [backup-simplify]: Simplify (+ 0 0) into 0 4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.395 * [backup-simplify]: Simplify (- 0) into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.397 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.397 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.397 * [taylor]: Taking taylor expansion of 2 in n 4.397 * [backup-simplify]: Simplify 2 into 2 4.397 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.397 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.397 * [taylor]: Taking taylor expansion of n in n 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [backup-simplify]: Simplify (* 1 1) into 1 4.398 * [backup-simplify]: Simplify (/ 1 1) into 1 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.400 * [backup-simplify]: Simplify (- 0) into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.401 * [backup-simplify]: Simplify (- 0) into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.402 * [backup-simplify]: Simplify (+ 0 0) into 0 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.403 * [backup-simplify]: Simplify (- 0) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [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))) 4.405 * [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)))) 4.405 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.405 * [taylor]: Taking taylor expansion of 2 in n 4.405 * [backup-simplify]: Simplify 2 into 2 4.405 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.405 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.405 * [taylor]: Taking taylor expansion of n in n 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (* 1 1) into 1 4.406 * [backup-simplify]: Simplify (* 1 1) into 1 4.406 * [backup-simplify]: Simplify (/ 1 1) into 1 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (- 0) into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify -1 into -1 4.412 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.412 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.412 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.412 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.412 * [taylor]: Taking taylor expansion of f in n 4.412 * [backup-simplify]: Simplify f into f 4.412 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.412 * [taylor]: Taking taylor expansion of n in n 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.412 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.412 * [taylor]: Taking taylor expansion of n in n 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.413 * [backup-simplify]: Simplify (/ 1 1) into 1 4.413 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.413 * [taylor]: Taking taylor expansion of f in n 4.413 * [backup-simplify]: Simplify f into f 4.413 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.413 * [backup-simplify]: Simplify (+ 0 1) into 1 4.413 * [backup-simplify]: Simplify (+ 1 0) into 1 4.414 * [backup-simplify]: Simplify (/ 1 1) into 1 4.414 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.414 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.414 * [taylor]: Taking taylor expansion of f in f 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (/ 1 1) into 1 4.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.414 * [taylor]: Taking taylor expansion of n in f 4.414 * [backup-simplify]: Simplify n into n 4.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.414 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.414 * [taylor]: Taking taylor expansion of n in f 4.414 * [backup-simplify]: Simplify n into n 4.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.414 * [taylor]: Taking taylor expansion of f in f 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [backup-simplify]: Simplify (+ 1 0) into 1 4.415 * [backup-simplify]: Simplify (- 1) into -1 4.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.416 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.416 * [taylor]: Taking taylor expansion of f in f 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (/ 1 1) into 1 4.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.416 * [taylor]: Taking taylor expansion of n in f 4.416 * [backup-simplify]: Simplify n into n 4.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.416 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.416 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.416 * [taylor]: Taking taylor expansion of n in f 4.416 * [backup-simplify]: Simplify n into n 4.416 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.416 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.416 * [taylor]: Taking taylor expansion of f in f 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (/ 1 1) into 1 4.417 * [backup-simplify]: Simplify (+ 1 0) into 1 4.417 * [backup-simplify]: Simplify (- 1) into -1 4.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.418 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.418 * [taylor]: Taking taylor expansion of -1 in n 4.418 * [backup-simplify]: Simplify -1 into -1 4.418 * [backup-simplify]: Simplify -1 into -1 4.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.419 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.419 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.419 * [taylor]: Taking taylor expansion of 2 in n 4.419 * [backup-simplify]: Simplify 2 into 2 4.420 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.420 * [taylor]: Taking taylor expansion of n in n 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.421 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.421 * [backup-simplify]: Simplify (- 0) into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.422 * [backup-simplify]: Simplify (+ 0 0) into 0 4.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (- 0) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.424 * [taylor]: Taking taylor expansion of 2 in n 4.424 * [backup-simplify]: Simplify 2 into 2 4.424 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.424 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.424 * [taylor]: Taking taylor expansion of n in n 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (* 1 1) into 1 4.424 * [backup-simplify]: Simplify (/ 1 1) into 1 4.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.427 * [backup-simplify]: Simplify (- 0) into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.428 * [backup-simplify]: Simplify (- 0) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (- 0) into 0 4.430 * [backup-simplify]: Simplify (+ 0 0) into 0 4.431 * [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)))) 4.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.431 * [taylor]: Taking taylor expansion of 2 in n 4.431 * [backup-simplify]: Simplify 2 into 2 4.431 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.431 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.431 * [taylor]: Taking taylor expansion of n in n 4.431 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (* 1 1) into 1 4.432 * [backup-simplify]: Simplify (* 1 1) into 1 4.432 * [backup-simplify]: Simplify (/ 1 1) into 1 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (- 0) into 0 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify -1 into -1 4.437 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 4.438 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 4.438 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 4.438 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 4.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.438 * [taylor]: Taking taylor expansion of -1 in n 4.438 * [backup-simplify]: Simplify -1 into -1 4.438 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.438 * [taylor]: Taking taylor expansion of (+ n f) in n 4.438 * [taylor]: Taking taylor expansion of n in n 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of f in n 4.438 * [backup-simplify]: Simplify f into f 4.438 * [taylor]: Taking taylor expansion of (- f n) in n 4.438 * [taylor]: Taking taylor expansion of f in n 4.438 * [backup-simplify]: Simplify f into f 4.438 * [taylor]: Taking taylor expansion of n in n 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (+ 0 f) into f 4.438 * [backup-simplify]: Simplify (- 0) into 0 4.439 * [backup-simplify]: Simplify (+ f 0) into f 4.439 * [backup-simplify]: Simplify (/ f f) into 1 4.439 * [backup-simplify]: Simplify (* -1 1) into -1 4.439 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 4.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.439 * [taylor]: Taking taylor expansion of -1 in f 4.439 * [backup-simplify]: Simplify -1 into -1 4.439 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.439 * [taylor]: Taking taylor expansion of (+ n f) in f 4.439 * [taylor]: Taking taylor expansion of n in f 4.439 * [backup-simplify]: Simplify n into n 4.439 * [taylor]: Taking taylor expansion of f in f 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of (- f n) in f 4.439 * [taylor]: Taking taylor expansion of f in f 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of n in f 4.439 * [backup-simplify]: Simplify n into n 4.439 * [backup-simplify]: Simplify (+ n 0) into n 4.439 * [backup-simplify]: Simplify (- n) into (- n) 4.439 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.439 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.440 * [backup-simplify]: Simplify (* -1 -1) into 1 4.440 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 4.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.440 * [taylor]: Taking taylor expansion of -1 in f 4.440 * [backup-simplify]: Simplify -1 into -1 4.440 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.440 * [taylor]: Taking taylor expansion of (+ n f) in f 4.440 * [taylor]: Taking taylor expansion of n in f 4.440 * [backup-simplify]: Simplify n into n 4.440 * [taylor]: Taking taylor expansion of f in f 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [taylor]: Taking taylor expansion of (- f n) in f 4.440 * [taylor]: Taking taylor expansion of f in f 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 1 into 1 4.440 * [taylor]: Taking taylor expansion of n in f 4.440 * [backup-simplify]: Simplify n into n 4.440 * [backup-simplify]: Simplify (+ n 0) into n 4.440 * [backup-simplify]: Simplify (- n) into (- n) 4.440 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.440 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.440 * [backup-simplify]: Simplify (* -1 -1) into 1 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.441 * [backup-simplify]: Simplify (* 1 1) into 1 4.441 * [taylor]: Taking taylor expansion of 1 in n 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (+ 0 1) into 1 4.441 * [backup-simplify]: Simplify (- 0) into 0 4.442 * [backup-simplify]: Simplify (+ 1 0) into 1 4.442 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.442 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.442 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 4.442 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 4.443 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.443 * [taylor]: Taking taylor expansion of 6 in n 4.443 * [backup-simplify]: Simplify 6 into 6 4.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (/ 1 1) into 1 4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.444 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [backup-simplify]: Simplify (- 0) into 0 4.445 * [backup-simplify]: Simplify (+ 0 0) into 0 4.445 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.445 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.446 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 4.446 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 4.446 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.446 * [taylor]: Taking taylor expansion of 18 in n 4.446 * [backup-simplify]: Simplify 18 into 18 4.446 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.446 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.446 * [taylor]: Taking taylor expansion of n in n 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (* 1 1) into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.452 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (- 0) into 0 4.454 * [backup-simplify]: Simplify (+ 0 0) into 0 4.455 * [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)))) 4.455 * [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))) 4.456 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 4.456 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 4.456 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.456 * [taylor]: Taking taylor expansion of 38 in n 4.456 * [backup-simplify]: Simplify 38 into 38 4.456 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.456 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (* 1 1) into 1 4.457 * [backup-simplify]: Simplify (* 1 1) into 1 4.458 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 4.467 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 4.467 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 4.468 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.468 * [taylor]: Taking taylor expansion of -1 in n 4.468 * [backup-simplify]: Simplify -1 into -1 4.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.468 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.468 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.468 * [taylor]: Taking taylor expansion of f in n 4.468 * [backup-simplify]: Simplify f into f 4.468 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.468 * [taylor]: Taking taylor expansion of n in n 4.468 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify 1 into 1 4.468 * [backup-simplify]: Simplify (/ 1 1) into 1 4.468 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.468 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.468 * [taylor]: Taking taylor expansion of f in n 4.469 * [backup-simplify]: Simplify f into f 4.469 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.469 * [taylor]: Taking taylor expansion of n in n 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [backup-simplify]: Simplify (/ 1 1) into 1 4.470 * [backup-simplify]: Simplify (+ 0 1) into 1 4.470 * [backup-simplify]: Simplify (- 1) into -1 4.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.471 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.471 * [backup-simplify]: Simplify (* -1 -1) into 1 4.471 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 4.471 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.471 * [taylor]: Taking taylor expansion of -1 in f 4.471 * [backup-simplify]: Simplify -1 into -1 4.471 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.471 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.471 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.471 * [taylor]: Taking taylor expansion of f in f 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 1 into 1 4.472 * [backup-simplify]: Simplify (/ 1 1) into 1 4.472 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.472 * [taylor]: Taking taylor expansion of n in f 4.472 * [backup-simplify]: Simplify n into n 4.472 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.472 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.472 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.472 * [taylor]: Taking taylor expansion of f in f 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (/ 1 1) into 1 4.473 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.473 * [taylor]: Taking taylor expansion of n in f 4.473 * [backup-simplify]: Simplify n into n 4.473 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.473 * [backup-simplify]: Simplify (+ 1 0) into 1 4.474 * [backup-simplify]: Simplify (+ 1 0) into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [backup-simplify]: Simplify (* -1 1) into -1 4.475 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 4.475 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.475 * [taylor]: Taking taylor expansion of -1 in f 4.475 * [backup-simplify]: Simplify -1 into -1 4.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.475 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.475 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.475 * [taylor]: Taking taylor expansion of f in f 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (/ 1 1) into 1 4.475 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.475 * [taylor]: Taking taylor expansion of n in f 4.475 * [backup-simplify]: Simplify n into n 4.475 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.475 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.476 * [taylor]: Taking taylor expansion of f in f 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.476 * [backup-simplify]: Simplify (/ 1 1) into 1 4.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.476 * [taylor]: Taking taylor expansion of n in f 4.476 * [backup-simplify]: Simplify n into n 4.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.477 * [backup-simplify]: Simplify (+ 1 0) into 1 4.477 * [backup-simplify]: Simplify (/ 1 1) into 1 4.478 * [backup-simplify]: Simplify (* -1 1) into -1 4.478 * [backup-simplify]: Simplify (* -1 -1) into 1 4.479 * [backup-simplify]: Simplify (* -1 1) into -1 4.479 * [taylor]: Taking taylor expansion of -1 in n 4.479 * [backup-simplify]: Simplify -1 into -1 4.479 * [backup-simplify]: Simplify -1 into -1 4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.481 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.481 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.482 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.482 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 4.482 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 4.482 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.482 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.482 * [taylor]: Taking taylor expansion of 6 in n 4.482 * [backup-simplify]: Simplify 6 into 6 4.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.483 * [taylor]: Taking taylor expansion of n in n 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 1 into 1 4.483 * [backup-simplify]: Simplify (/ 1 1) into 1 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.485 * [backup-simplify]: Simplify (- 0) into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.486 * [backup-simplify]: Simplify (+ 0 0) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.487 * [backup-simplify]: Simplify (- 0) into 0 4.487 * [backup-simplify]: Simplify (+ 0 0) into 0 4.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.488 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.489 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 4.489 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.489 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.489 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.489 * [taylor]: Taking taylor expansion of 18 in n 4.489 * [backup-simplify]: Simplify 18 into 18 4.489 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.489 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.489 * [taylor]: Taking taylor expansion of n in n 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (* 1 1) into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.493 * [backup-simplify]: Simplify (- 0) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.494 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.494 * [backup-simplify]: Simplify (- 0) into 0 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.495 * [backup-simplify]: Simplify (+ 0 0) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.496 * [backup-simplify]: Simplify (- 0) into 0 4.496 * [backup-simplify]: Simplify (+ 0 0) into 0 4.497 * [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))) 4.498 * [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)))) 4.498 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 4.499 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.499 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.499 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.499 * [taylor]: Taking taylor expansion of 38 in n 4.499 * [backup-simplify]: Simplify 38 into 38 4.499 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.499 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.499 * [taylor]: Taking taylor expansion of n in n 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (* 1 1) into 1 4.500 * [backup-simplify]: Simplify (* 1 1) into 1 4.500 * [backup-simplify]: Simplify (/ 1 1) into 1 4.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.505 * [backup-simplify]: Simplify (- 0) into 0 4.505 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify -1 into -1 4.506 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 4.506 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 4.506 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 4.506 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.506 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.506 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.506 * [taylor]: Taking taylor expansion of f in n 4.506 * [backup-simplify]: Simplify f into f 4.506 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.506 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.506 * [taylor]: Taking taylor expansion of n in n 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (/ 1 1) into 1 4.506 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.506 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.506 * [taylor]: Taking taylor expansion of n in n 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (/ 1 1) into 1 4.506 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.506 * [taylor]: Taking taylor expansion of f in n 4.507 * [backup-simplify]: Simplify f into f 4.507 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.507 * [backup-simplify]: Simplify (+ 0 1) into 1 4.507 * [backup-simplify]: Simplify (+ 1 0) into 1 4.507 * [backup-simplify]: Simplify (/ 1 1) into 1 4.507 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 4.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.507 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.507 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.507 * [taylor]: Taking taylor expansion of f in f 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.508 * [backup-simplify]: Simplify (/ 1 1) into 1 4.508 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.508 * [taylor]: Taking taylor expansion of n in f 4.508 * [backup-simplify]: Simplify n into n 4.508 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.508 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.508 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.508 * [taylor]: Taking taylor expansion of n in f 4.508 * [backup-simplify]: Simplify n into n 4.508 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.508 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.508 * [taylor]: Taking taylor expansion of f in f 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify 1 into 1 4.508 * [backup-simplify]: Simplify (/ 1 1) into 1 4.508 * [backup-simplify]: Simplify (+ 1 0) into 1 4.509 * [backup-simplify]: Simplify (- 1) into -1 4.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.509 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.509 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 4.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.509 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.509 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.509 * [taylor]: Taking taylor expansion of f in f 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (/ 1 1) into 1 4.510 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.510 * [taylor]: Taking taylor expansion of n in f 4.510 * [backup-simplify]: Simplify n into n 4.510 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.510 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.510 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.510 * [taylor]: Taking taylor expansion of n in f 4.510 * [backup-simplify]: Simplify n into n 4.510 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.510 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.510 * [taylor]: Taking taylor expansion of f in f 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (/ 1 1) into 1 4.510 * [backup-simplify]: Simplify (+ 1 0) into 1 4.511 * [backup-simplify]: Simplify (- 1) into -1 4.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.511 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.512 * [backup-simplify]: Simplify (* -1 -1) into 1 4.512 * [backup-simplify]: Simplify (* -1 1) into -1 4.512 * [taylor]: Taking taylor expansion of -1 in n 4.512 * [backup-simplify]: Simplify -1 into -1 4.512 * [backup-simplify]: Simplify -1 into -1 4.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.512 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.513 * [backup-simplify]: Simplify (- 0) into 0 4.513 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.513 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.513 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 4.514 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 4.514 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.514 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.514 * [taylor]: Taking taylor expansion of 6 in n 4.514 * [backup-simplify]: Simplify 6 into 6 4.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.514 * [taylor]: Taking taylor expansion of n in n 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 1 into 1 4.514 * [backup-simplify]: Simplify (/ 1 1) into 1 4.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.515 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.515 * [backup-simplify]: Simplify (- 0) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (- 0) into 0 4.517 * [backup-simplify]: Simplify (+ 0 0) into 0 4.518 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.518 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 4.519 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.519 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.519 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.519 * [taylor]: Taking taylor expansion of 18 in n 4.519 * [backup-simplify]: Simplify 18 into 18 4.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.519 * [taylor]: Taking taylor expansion of n in n 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [backup-simplify]: Simplify (* 1 1) into 1 4.519 * [backup-simplify]: Simplify (/ 1 1) into 1 4.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.522 * [backup-simplify]: Simplify (- 0) into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.523 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.523 * [backup-simplify]: Simplify (- 0) into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.524 * [backup-simplify]: Simplify (+ 0 0) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (- 0) into 0 4.525 * [backup-simplify]: Simplify (+ 0 0) into 0 4.526 * [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)))) 4.527 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 4.528 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.528 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.528 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.528 * [taylor]: Taking taylor expansion of 38 in n 4.528 * [backup-simplify]: Simplify 38 into 38 4.528 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.528 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.528 * [taylor]: Taking taylor expansion of n in n 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify 1 into 1 4.528 * [backup-simplify]: Simplify (* 1 1) into 1 4.529 * [backup-simplify]: Simplify (* 1 1) into 1 4.529 * [backup-simplify]: Simplify (/ 1 1) into 1 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (- 0) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify -1 into -1 4.534 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.534 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 4.534 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 4.534 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 4.534 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 4.534 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.534 * [taylor]: Taking taylor expansion of -1 in n 4.535 * [backup-simplify]: Simplify -1 into -1 4.535 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.535 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.535 * [taylor]: Taking taylor expansion of (+ n f) in n 4.535 * [taylor]: Taking taylor expansion of n in n 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [taylor]: Taking taylor expansion of f in n 4.535 * [backup-simplify]: Simplify f into f 4.535 * [taylor]: Taking taylor expansion of (- f n) in n 4.535 * [taylor]: Taking taylor expansion of f in n 4.535 * [backup-simplify]: Simplify f into f 4.535 * [taylor]: Taking taylor expansion of n in n 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.536 * [backup-simplify]: Simplify (+ 0 f) into f 4.536 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 4.536 * [backup-simplify]: Simplify (- 0) into 0 4.536 * [backup-simplify]: Simplify (+ f 0) into f 4.536 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 4.537 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.537 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.537 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.537 * [taylor]: Taking taylor expansion of -1 in f 4.537 * [backup-simplify]: Simplify -1 into -1 4.537 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.537 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.537 * [taylor]: Taking taylor expansion of (+ n f) in f 4.537 * [taylor]: Taking taylor expansion of n in f 4.537 * [backup-simplify]: Simplify n into n 4.537 * [taylor]: Taking taylor expansion of f in f 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 1 into 1 4.537 * [taylor]: Taking taylor expansion of (- f n) in f 4.537 * [taylor]: Taking taylor expansion of f in f 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [taylor]: Taking taylor expansion of n in f 4.538 * [backup-simplify]: Simplify n into n 4.538 * [backup-simplify]: Simplify (+ n 0) into n 4.538 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.538 * [backup-simplify]: Simplify (- n) into (- n) 4.538 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.538 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.539 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.539 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.539 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.539 * [taylor]: Taking taylor expansion of -1 in f 4.539 * [backup-simplify]: Simplify -1 into -1 4.539 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.539 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.539 * [taylor]: Taking taylor expansion of (+ n f) in f 4.539 * [taylor]: Taking taylor expansion of n in f 4.539 * [backup-simplify]: Simplify n into n 4.539 * [taylor]: Taking taylor expansion of f in f 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [taylor]: Taking taylor expansion of (- f n) in f 4.539 * [taylor]: Taking taylor expansion of f in f 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.540 * [taylor]: Taking taylor expansion of n in f 4.540 * [backup-simplify]: Simplify n into n 4.540 * [backup-simplify]: Simplify (+ n 0) into n 4.540 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.540 * [backup-simplify]: Simplify (- n) into (- n) 4.540 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.540 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.540 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 4.540 * [taylor]: Taking taylor expansion of -1 in n 4.540 * [backup-simplify]: Simplify -1 into -1 4.540 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.540 * [taylor]: Taking taylor expansion of -1 in n 4.540 * [backup-simplify]: Simplify -1 into -1 4.541 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.541 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.542 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.543 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.544 * [backup-simplify]: Simplify (+ 0 1) into 1 4.545 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 4.545 * [backup-simplify]: Simplify (- 0) into 0 4.546 * [backup-simplify]: Simplify (+ 1 0) into 1 4.547 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 4.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 4.547 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 4.547 * [taylor]: Taking taylor expansion of 2 in n 4.547 * [backup-simplify]: Simplify 2 into 2 4.547 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 4.547 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.548 * [taylor]: Taking taylor expansion of -1 in n 4.548 * [backup-simplify]: Simplify -1 into -1 4.548 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.549 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.549 * [taylor]: Taking taylor expansion of n in n 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.552 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 4.552 * [backup-simplify]: Simplify (- 0) into 0 4.552 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.556 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 4.556 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify (+ 0 0) into 0 4.559 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 4.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 4.559 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 4.559 * [taylor]: Taking taylor expansion of 2 in n 4.559 * [backup-simplify]: Simplify 2 into 2 4.559 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 4.559 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.559 * [taylor]: Taking taylor expansion of -1 in n 4.559 * [backup-simplify]: Simplify -1 into -1 4.563 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.564 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.564 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.564 * [taylor]: Taking taylor expansion of n in n 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (* 1 1) into 1 4.566 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.573 * [backup-simplify]: Simplify (- 0) into 0 4.573 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.577 * [backup-simplify]: Simplify (- 0) into 0 4.577 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.580 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.583 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 4.584 * [backup-simplify]: Simplify (- 0) into 0 4.584 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 4.588 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 4.588 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 4.588 * [taylor]: Taking taylor expansion of 2 in n 4.588 * [backup-simplify]: Simplify 2 into 2 4.588 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 4.588 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.588 * [taylor]: Taking taylor expansion of -1 in n 4.588 * [backup-simplify]: Simplify -1 into -1 4.589 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.590 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.590 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.590 * [taylor]: Taking taylor expansion of n in n 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.592 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.606 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.606 * [backup-simplify]: Simplify (- 0) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.608 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 4.608 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 4.608 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 4.608 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 4.608 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.608 * [taylor]: Taking taylor expansion of -1 in n 4.608 * [backup-simplify]: Simplify -1 into -1 4.609 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.609 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.610 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.610 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.610 * [taylor]: Taking taylor expansion of f in n 4.610 * [backup-simplify]: Simplify f into f 4.610 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.610 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.610 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.610 * [taylor]: Taking taylor expansion of f in n 4.610 * [backup-simplify]: Simplify f into f 4.610 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.610 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 1 into 1 4.611 * [backup-simplify]: Simplify (/ 1 1) into 1 4.611 * [backup-simplify]: Simplify (+ 0 1) into 1 4.612 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 4.613 * [backup-simplify]: Simplify (- 1) into -1 4.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.614 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 4.614 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 4.614 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 4.614 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.615 * [taylor]: Taking taylor expansion of -1 in f 4.615 * [backup-simplify]: Simplify -1 into -1 4.615 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.616 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.616 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.616 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.616 * [taylor]: Taking taylor expansion of f in f 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.617 * [backup-simplify]: Simplify (/ 1 1) into 1 4.617 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.617 * [taylor]: Taking taylor expansion of n in f 4.617 * [backup-simplify]: Simplify n into n 4.617 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.617 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.617 * [taylor]: Taking taylor expansion of f in f 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.618 * [taylor]: Taking taylor expansion of n in f 4.618 * [backup-simplify]: Simplify n into n 4.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.618 * [backup-simplify]: Simplify (+ 1 0) into 1 4.619 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 4.620 * [backup-simplify]: Simplify (+ 1 0) into 1 4.621 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.621 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 4.621 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 4.621 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.621 * [taylor]: Taking taylor expansion of -1 in f 4.621 * [backup-simplify]: Simplify -1 into -1 4.621 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.622 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.622 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.622 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.622 * [taylor]: Taking taylor expansion of f in f 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.623 * [taylor]: Taking taylor expansion of n in f 4.623 * [backup-simplify]: Simplify n into n 4.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.623 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.623 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.623 * [taylor]: Taking taylor expansion of f in f 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.623 * [taylor]: Taking taylor expansion of n in f 4.623 * [backup-simplify]: Simplify n into n 4.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.625 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 4.625 * [backup-simplify]: Simplify (+ 1 0) into 1 4.626 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.626 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.627 * [taylor]: Taking taylor expansion of -1 in n 4.627 * [backup-simplify]: Simplify -1 into -1 4.627 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.628 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.628 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.630 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 4.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.631 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.632 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 4.632 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 4.632 * [taylor]: Taking taylor expansion of 2 in n 4.632 * [backup-simplify]: Simplify 2 into 2 4.632 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 4.632 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.633 * [taylor]: Taking taylor expansion of -1 in n 4.633 * [backup-simplify]: Simplify -1 into -1 4.633 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.634 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.634 * [taylor]: Taking taylor expansion of n in n 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.638 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.641 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.642 * [backup-simplify]: Simplify (- 0) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 4.645 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 4.645 * [taylor]: Taking taylor expansion of 2 in n 4.645 * [backup-simplify]: Simplify 2 into 2 4.645 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 4.645 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.645 * [taylor]: Taking taylor expansion of -1 in n 4.645 * [backup-simplify]: Simplify -1 into -1 4.645 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.646 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.646 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.646 * [taylor]: Taking taylor expansion of n in n 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.647 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.661 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.664 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.665 * [backup-simplify]: Simplify (- 0) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 4.669 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 4.669 * [taylor]: Taking taylor expansion of 2 in n 4.669 * [backup-simplify]: Simplify 2 into 2 4.669 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 4.669 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.669 * [taylor]: Taking taylor expansion of -1 in n 4.669 * [backup-simplify]: Simplify -1 into -1 4.670 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.670 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.670 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.670 * [taylor]: Taking taylor expansion of n in n 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (* 1 1) into 1 4.671 * [backup-simplify]: Simplify (* 1 1) into 1 4.672 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.684 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.684 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.684 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.684 * [taylor]: Taking taylor expansion of f in n 4.684 * [backup-simplify]: Simplify f into f 4.684 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.684 * [taylor]: Taking taylor expansion of n in n 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.685 * [taylor]: Taking taylor expansion of n in n 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.685 * [taylor]: Taking taylor expansion of f in n 4.685 * [backup-simplify]: Simplify f into f 4.685 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.685 * [backup-simplify]: Simplify (+ 0 1) into 1 4.686 * [backup-simplify]: Simplify (+ 1 0) into 1 4.686 * [backup-simplify]: Simplify (/ 1 1) into 1 4.686 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.686 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.686 * [taylor]: Taking taylor expansion of f in f 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [backup-simplify]: Simplify (/ 1 1) into 1 4.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.686 * [taylor]: Taking taylor expansion of n in f 4.686 * [backup-simplify]: Simplify n into n 4.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.686 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.686 * [taylor]: Taking taylor expansion of n in f 4.686 * [backup-simplify]: Simplify n into n 4.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.686 * [taylor]: Taking taylor expansion of f in f 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (/ 1 1) into 1 4.687 * [backup-simplify]: Simplify (+ 1 0) into 1 4.687 * [backup-simplify]: Simplify (- 1) into -1 4.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.688 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.688 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.688 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.688 * [taylor]: Taking taylor expansion of f in f 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (/ 1 1) into 1 4.688 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.688 * [taylor]: Taking taylor expansion of n in f 4.688 * [backup-simplify]: Simplify n into n 4.688 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.688 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.688 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.688 * [taylor]: Taking taylor expansion of n in f 4.688 * [backup-simplify]: Simplify n into n 4.689 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.689 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.689 * [taylor]: Taking taylor expansion of f in f 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.689 * [backup-simplify]: Simplify (+ 1 0) into 1 4.689 * [backup-simplify]: Simplify (- 1) into -1 4.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.690 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.690 * [taylor]: Taking taylor expansion of -1 in n 4.690 * [backup-simplify]: Simplify -1 into -1 4.690 * [backup-simplify]: Simplify -1 into -1 4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (- 0) into 0 4.691 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.691 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.691 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.691 * [taylor]: Taking taylor expansion of 2 in n 4.691 * [backup-simplify]: Simplify 2 into 2 4.691 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.691 * [taylor]: Taking taylor expansion of n in n 4.691 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (/ 1 1) into 1 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.693 * [backup-simplify]: Simplify (- 0) into 0 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.694 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (- 0) into 0 4.695 * [backup-simplify]: Simplify (+ 0 0) into 0 4.696 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.696 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.696 * [taylor]: Taking taylor expansion of 2 in n 4.696 * [backup-simplify]: Simplify 2 into 2 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.696 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.696 * [taylor]: Taking taylor expansion of n in n 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (* 1 1) into 1 4.696 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.704 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (- 0) into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [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)))) 4.707 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.707 * [taylor]: Taking taylor expansion of 2 in n 4.707 * [backup-simplify]: Simplify 2 into 2 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.707 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.707 * [taylor]: Taking taylor expansion of n in n 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (/ 1 1) into 1 4.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (- 0) into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify -1 into -1 4.716 * * * [progress]: simplifying candidates 4.731 * [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)) (- 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(pow (- f n) 3)) (* (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (* (* (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 -1 -1 1 -1 -1 (* -1 (cbrt -1)) (cbrt -1) -1 4.752 * * [simplify]: Extracting # 0 : cost 0 4.753 * * [simplify]: Extracting # 1 : cost 0 4.754 * * [simplify]: Extracting # 2 : cost 0 4.755 * * [simplify]: Extracting # 3 : cost 0 4.756 * * [simplify]: Extracting # 4 : cost 0 4.757 * * [simplify]: Extracting # 5 : cost 0 4.758 * * [simplify]: Extracting # 6 : cost 0 4.759 * * [simplify]: Extracting # 7 : cost 0 4.760 * * [simplify]: iteration 0 : 324 enodes (cost 8171 ) 5.063 * * [simplify]: Extracting # 0 : cost 0 5.066 * * [simplify]: Extracting # 1 : cost 0 5.069 * * [simplify]: Extracting # 2 : cost 0 5.071 * * [simplify]: Extracting # 3 : cost 0 5.073 * * [simplify]: Extracting # 4 : cost 0 5.076 * * [simplify]: iteration 1 : 1265 enodes (cost 6869 ) 5.437 * * [simplify]: Extracting # 0 : cost 0 5.442 * * [simplify]: Extracting # 1 : cost 0 5.448 * * [simplify]: Extracting # 2 : cost 0 5.455 * * [simplify]: Extracting # 3 : cost 0 5.462 * * [simplify]: Extracting # 4 : cost 0 5.475 * * [simplify]: Extracting # 5 : cost 0 5.497 * * [simplify]: iteration done: 5001 enodes (cost 6448 ) 5.503 * [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 (pow (cbrt (/ (- (+ f n)) (- f n))) 6)) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- f n)) (cbrt (/ (* (- (+ f n)) (- (+ f n))) (* (- f n) (- f n)))) (cbrt (/ (- (+ f n)) (- f 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n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (cbrt (/ (* (- (+ f n)) (+ f n)) (* (- f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (- (/ (cbrt (* (+ f n) (+ f n))) (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (- f n))) (cbrt (* (- (+ f n)) (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (cbrt (* (- (+ f n)) (+ f n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (cbrt (* (- (+ f n)) (+ 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)) (cbrt (/ -1 (* (- f n) (- 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 (/ -1 (* (- f n) (- 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) (+ f n)) (* (- f n) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (/ (cbrt (* (+ f n) (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (cbrt (* (+ f n) (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (cbrt (* (+ f n) (+ 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)) (cbrt (/ 1 (* (- f n) (- 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 (/ 1 (* (- f n) (- 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)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (fma f f (* n (+ f n))) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (cbrt (/ (- (+ f n)) (- f n))) (cbrt (pow (cbrt (/ (- (+ f n)) (- f n))) 6)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ f n)) (- f n) (cbrt (pow (cbrt (/ (- (+ f n)) (- f n))) 6)) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 -1 -1 1 -1 -1 1 -1 -1 5.510 * * * [progress]: adding candidates to table 6.625 * * [progress]: iteration 4 / 4 6.625 * * * [progress]: picking best candidate 6.635 * * * * [pick]: Picked # 6.635 * * * [progress]: localizing error 6.651 * * * [progress]: generating rewritten candidates 6.651 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 6.765 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 6.784 * * * [progress]: generating series expansions 6.784 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.785 * [backup-simplify]: Simplify (* (- (+ f n)) (/ 1 (- f n))) into (* -1 (/ (+ n f) (- f n))) 6.785 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.785 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.785 * [taylor]: Taking taylor expansion of -1 in n 6.785 * [backup-simplify]: Simplify -1 into -1 6.785 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.785 * [taylor]: Taking taylor expansion of (+ n f) in n 6.785 * [taylor]: Taking taylor expansion of n in n 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [taylor]: Taking taylor expansion of f in n 6.785 * [backup-simplify]: Simplify f into f 6.785 * [taylor]: Taking taylor expansion of (- f n) in n 6.785 * [taylor]: Taking taylor expansion of f in n 6.785 * [backup-simplify]: Simplify f into f 6.785 * [taylor]: Taking taylor expansion of n in n 6.785 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify 1 into 1 6.785 * [backup-simplify]: Simplify (+ 0 f) into f 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.786 * [backup-simplify]: Simplify (+ f 0) into f 6.786 * [backup-simplify]: Simplify (/ f f) into 1 6.786 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.786 * [taylor]: Taking taylor expansion of -1 in f 6.786 * [backup-simplify]: Simplify -1 into -1 6.786 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.786 * [taylor]: Taking taylor expansion of (+ n f) in f 6.786 * [taylor]: Taking taylor expansion of n in f 6.786 * [backup-simplify]: Simplify n into n 6.786 * [taylor]: Taking taylor expansion of f in f 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [taylor]: Taking taylor expansion of (- f n) in f 6.786 * [taylor]: Taking taylor expansion of f in f 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [taylor]: Taking taylor expansion of n in f 6.786 * [backup-simplify]: Simplify n into n 6.786 * [backup-simplify]: Simplify (+ n 0) into n 6.786 * [backup-simplify]: Simplify (- n) into (- n) 6.786 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.786 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.786 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.786 * [taylor]: Taking taylor expansion of -1 in f 6.786 * [backup-simplify]: Simplify -1 into -1 6.786 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.786 * [taylor]: Taking taylor expansion of (+ n f) in f 6.786 * [taylor]: Taking taylor expansion of n in f 6.786 * [backup-simplify]: Simplify n into n 6.786 * [taylor]: Taking taylor expansion of f in f 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [taylor]: Taking taylor expansion of (- f n) in f 6.786 * [taylor]: Taking taylor expansion of f in f 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [taylor]: Taking taylor expansion of n in f 6.786 * [backup-simplify]: Simplify n into n 6.786 * [backup-simplify]: Simplify (+ n 0) into n 6.786 * [backup-simplify]: Simplify (- n) into (- n) 6.786 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.786 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.787 * [backup-simplify]: Simplify (* -1 -1) into 1 6.787 * [taylor]: Taking taylor expansion of 1 in n 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [backup-simplify]: Simplify (+ 0 1) into 1 6.787 * [backup-simplify]: Simplify (- 0) into 0 6.788 * [backup-simplify]: Simplify (+ 1 0) into 1 6.788 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.788 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.788 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.788 * [taylor]: Taking taylor expansion of 2 in n 6.788 * [backup-simplify]: Simplify 2 into 2 6.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.788 * [taylor]: Taking taylor expansion of n in n 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [backup-simplify]: Simplify (/ 1 1) into 1 6.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.789 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 0 into 0 6.790 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (- 0) into 0 6.790 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.791 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.791 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.791 * [taylor]: Taking taylor expansion of 2 in n 6.791 * [backup-simplify]: Simplify 2 into 2 6.791 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.791 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.791 * [taylor]: Taking taylor expansion of n in n 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [backup-simplify]: Simplify (* 1 1) into 1 6.791 * [backup-simplify]: Simplify (/ 1 1) into 1 6.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify (+ 0 0) into 0 6.795 * [backup-simplify]: Simplify (- 0) into 0 6.796 * [backup-simplify]: Simplify (+ 0 0) into 0 6.796 * [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)))) 6.797 * [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))) 6.797 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.797 * [taylor]: Taking taylor expansion of 2 in n 6.797 * [backup-simplify]: Simplify 2 into 2 6.797 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.797 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.797 * [taylor]: Taking taylor expansion of n in n 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (* 1 1) into 1 6.797 * [backup-simplify]: Simplify (* 1 1) into 1 6.798 * [backup-simplify]: Simplify (/ 1 1) into 1 6.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.804 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.805 * [backup-simplify]: Simplify (* (- (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.805 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.805 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.805 * [taylor]: Taking taylor expansion of -1 in n 6.805 * [backup-simplify]: Simplify -1 into -1 6.805 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.805 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.805 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.805 * [taylor]: Taking taylor expansion of f in n 6.805 * [backup-simplify]: Simplify f into f 6.805 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.805 * [taylor]: Taking taylor expansion of n in n 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (/ 1 1) into 1 6.810 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.810 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.810 * [taylor]: Taking taylor expansion of f in n 6.811 * [backup-simplify]: Simplify f into f 6.811 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.811 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.811 * [taylor]: Taking taylor expansion of n in n 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.811 * [backup-simplify]: Simplify (/ 1 1) into 1 6.812 * [backup-simplify]: Simplify (+ 0 1) into 1 6.812 * [backup-simplify]: Simplify (- 1) into -1 6.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.813 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.813 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.813 * [taylor]: Taking taylor expansion of -1 in f 6.813 * [backup-simplify]: Simplify -1 into -1 6.813 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.813 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.813 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.813 * [taylor]: Taking taylor expansion of f in f 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.814 * [taylor]: Taking taylor expansion of n in f 6.814 * [backup-simplify]: Simplify n into n 6.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.814 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.814 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.814 * [taylor]: Taking taylor expansion of f in f 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.814 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.814 * [taylor]: Taking taylor expansion of n in f 6.814 * [backup-simplify]: Simplify n into n 6.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.815 * [backup-simplify]: Simplify (+ 1 0) into 1 6.815 * [backup-simplify]: Simplify (+ 1 0) into 1 6.816 * [backup-simplify]: Simplify (/ 1 1) into 1 6.816 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.816 * [taylor]: Taking taylor expansion of -1 in f 6.816 * [backup-simplify]: Simplify -1 into -1 6.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.816 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.816 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.816 * [taylor]: Taking taylor expansion of f in f 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify 1 into 1 6.816 * [backup-simplify]: Simplify (/ 1 1) into 1 6.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.816 * [taylor]: Taking taylor expansion of n in f 6.817 * [backup-simplify]: Simplify n into n 6.817 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.817 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.817 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.817 * [taylor]: Taking taylor expansion of f in f 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ 1 1) into 1 6.817 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.817 * [taylor]: Taking taylor expansion of n in f 6.817 * [backup-simplify]: Simplify n into n 6.817 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.818 * [backup-simplify]: Simplify (+ 1 0) into 1 6.818 * [backup-simplify]: Simplify (+ 1 0) into 1 6.819 * [backup-simplify]: Simplify (/ 1 1) into 1 6.819 * [backup-simplify]: Simplify (* -1 1) into -1 6.819 * [taylor]: Taking taylor expansion of -1 in n 6.819 * [backup-simplify]: Simplify -1 into -1 6.819 * [backup-simplify]: Simplify -1 into -1 6.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.821 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.822 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.822 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.822 * [taylor]: Taking taylor expansion of 2 in n 6.822 * [backup-simplify]: Simplify 2 into 2 6.822 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.822 * [taylor]: Taking taylor expansion of n in n 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (/ 1 1) into 1 6.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (- 0) into 0 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.826 * [backup-simplify]: Simplify (+ 0 0) into 0 6.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.828 * [backup-simplify]: Simplify (- 0) into 0 6.828 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.830 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.830 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.830 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.830 * [taylor]: Taking taylor expansion of 2 in n 6.830 * [backup-simplify]: Simplify 2 into 2 6.830 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.830 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.830 * [taylor]: Taking taylor expansion of n in n 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (/ 1 1) into 1 6.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.834 * [backup-simplify]: Simplify (- 0) into 0 6.834 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.836 * [backup-simplify]: Simplify (- 0) into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.837 * [backup-simplify]: Simplify (+ 0 0) into 0 6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.838 * [backup-simplify]: Simplify (- 0) into 0 6.838 * [backup-simplify]: Simplify (+ 0 0) into 0 6.839 * [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))) 6.839 * [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)))) 6.839 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.839 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.839 * [taylor]: Taking taylor expansion of 2 in n 6.839 * [backup-simplify]: Simplify 2 into 2 6.840 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.840 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.840 * [taylor]: Taking taylor expansion of n in n 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 1 into 1 6.840 * [backup-simplify]: Simplify (* 1 1) into 1 6.840 * [backup-simplify]: Simplify (* 1 1) into 1 6.840 * [backup-simplify]: Simplify (/ 1 1) into 1 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.845 * [backup-simplify]: Simplify (- 0) into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify -1 into -1 6.846 * [backup-simplify]: Simplify (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.846 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.846 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.846 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.846 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.846 * [taylor]: Taking taylor expansion of f in n 6.846 * [backup-simplify]: Simplify f into f 6.846 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.846 * [taylor]: Taking taylor expansion of n in n 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [backup-simplify]: Simplify (/ 1 1) into 1 6.846 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.846 * [taylor]: Taking taylor expansion of n in n 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (/ 1 1) into 1 6.847 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.847 * [taylor]: Taking taylor expansion of f in n 6.847 * [backup-simplify]: Simplify f into f 6.847 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.847 * [backup-simplify]: Simplify (+ 0 1) into 1 6.847 * [backup-simplify]: Simplify (+ 1 0) into 1 6.847 * [backup-simplify]: Simplify (/ 1 1) into 1 6.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.848 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.848 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.848 * [taylor]: Taking taylor expansion of f in f 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.848 * [backup-simplify]: Simplify (/ 1 1) into 1 6.848 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.848 * [taylor]: Taking taylor expansion of n in f 6.848 * [backup-simplify]: Simplify n into n 6.848 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.848 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.848 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.848 * [taylor]: Taking taylor expansion of n in f 6.848 * [backup-simplify]: Simplify n into n 6.848 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.848 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.848 * [taylor]: Taking taylor expansion of f in f 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.848 * [backup-simplify]: Simplify (/ 1 1) into 1 6.849 * [backup-simplify]: Simplify (+ 1 0) into 1 6.849 * [backup-simplify]: Simplify (- 1) into -1 6.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.849 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.849 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.849 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.849 * [taylor]: Taking taylor expansion of f in f 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (/ 1 1) into 1 6.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.850 * [taylor]: Taking taylor expansion of n in f 6.850 * [backup-simplify]: Simplify n into n 6.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.850 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.850 * [taylor]: Taking taylor expansion of n in f 6.850 * [backup-simplify]: Simplify n into n 6.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.850 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.850 * [taylor]: Taking taylor expansion of f in f 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (/ 1 1) into 1 6.850 * [backup-simplify]: Simplify (+ 1 0) into 1 6.851 * [backup-simplify]: Simplify (- 1) into -1 6.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.851 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.851 * [taylor]: Taking taylor expansion of -1 in n 6.851 * [backup-simplify]: Simplify -1 into -1 6.851 * [backup-simplify]: Simplify -1 into -1 6.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.852 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.853 * [backup-simplify]: Simplify (- 0) into 0 6.853 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.853 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.853 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.853 * [taylor]: Taking taylor expansion of 2 in n 6.853 * [backup-simplify]: Simplify 2 into 2 6.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.853 * [taylor]: Taking taylor expansion of n in n 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 1 into 1 6.853 * [backup-simplify]: Simplify (/ 1 1) into 1 6.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.854 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (- 0) into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.855 * [backup-simplify]: Simplify (+ 0 0) into 0 6.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (- 0) into 0 6.856 * [backup-simplify]: Simplify (+ 0 0) into 0 6.857 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.857 * [taylor]: Taking taylor expansion of 2 in n 6.857 * [backup-simplify]: Simplify 2 into 2 6.857 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.857 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.857 * [taylor]: Taking taylor expansion of n in n 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.858 * [backup-simplify]: Simplify (* 1 1) into 1 6.858 * [backup-simplify]: Simplify (/ 1 1) into 1 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.861 * [backup-simplify]: Simplify (- 0) into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.862 * [backup-simplify]: Simplify (- 0) into 0 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.863 * [backup-simplify]: Simplify (+ 0 0) into 0 6.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.865 * [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)))) 6.865 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.865 * [taylor]: Taking taylor expansion of 2 in n 6.866 * [backup-simplify]: Simplify 2 into 2 6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.866 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.866 * [taylor]: Taking taylor expansion of n in n 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (* 1 1) into 1 6.866 * [backup-simplify]: Simplify (* 1 1) into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (- 0) into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify -1 into -1 6.877 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 6.877 * [backup-simplify]: Simplify (/ 1 (- f n)) into (/ 1 (- f n)) 6.877 * [approximate]: Taking taylor expansion of (/ 1 (- f n)) in (f n) around 0 6.877 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 6.877 * [taylor]: Taking taylor expansion of (- f n) in n 6.877 * [taylor]: Taking taylor expansion of f in n 6.877 * [backup-simplify]: Simplify f into f 6.877 * [taylor]: Taking taylor expansion of n in n 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [backup-simplify]: Simplify (- 0) into 0 6.877 * [backup-simplify]: Simplify (+ f 0) into f 6.878 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.878 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 6.878 * [taylor]: Taking taylor expansion of (- f n) in f 6.878 * [taylor]: Taking taylor expansion of f in f 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [taylor]: Taking taylor expansion of n in f 6.878 * [backup-simplify]: Simplify n into n 6.878 * [backup-simplify]: Simplify (- n) into (- n) 6.878 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.878 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 6.878 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 6.878 * [taylor]: Taking taylor expansion of (- f n) in f 6.878 * [taylor]: Taking taylor expansion of f in f 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [taylor]: Taking taylor expansion of n in f 6.878 * [backup-simplify]: Simplify n into n 6.878 * [backup-simplify]: Simplify (- n) into (- n) 6.878 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.878 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 6.878 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.878 * [taylor]: Taking taylor expansion of -1 in n 6.878 * [backup-simplify]: Simplify -1 into -1 6.879 * [taylor]: Taking taylor expansion of n in n 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [backup-simplify]: Simplify (/ -1 1) into -1 6.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.881 * [backup-simplify]: Simplify (+ 1 0) into 1 6.881 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 6.881 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.881 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.881 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.881 * [taylor]: Taking taylor expansion of n in n 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (* 1 1) into 1 6.882 * [backup-simplify]: Simplify (/ 1 1) into 1 6.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (- 0) into 0 6.886 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 6.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 3))) in n 6.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.888 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.888 * [taylor]: Taking taylor expansion of n in n 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (* 1 1) into 1 6.889 * [backup-simplify]: Simplify (* 1 1) into 1 6.889 * [backup-simplify]: Simplify (/ 1 1) into 1 6.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.897 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.899 * [backup-simplify]: Simplify (- 0) into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (/ 1 (- (/ 1 f) (/ 1 n))) into (/ 1 (- (/ 1 f) (/ 1 n))) 6.899 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 6.900 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 6.900 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.900 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.900 * [taylor]: Taking taylor expansion of f in n 6.900 * [backup-simplify]: Simplify f into f 6.900 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.900 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.900 * [taylor]: Taking taylor expansion of n in n 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [backup-simplify]: Simplify (/ 1 1) into 1 6.900 * [backup-simplify]: Simplify (- 1) into -1 6.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.901 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.901 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 6.901 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.901 * [taylor]: Taking taylor expansion of f in f 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.901 * [taylor]: Taking taylor expansion of n in f 6.901 * [backup-simplify]: Simplify n into n 6.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.901 * [backup-simplify]: Simplify (+ 1 0) into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 6.902 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.902 * [taylor]: Taking taylor expansion of f in f 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.902 * [taylor]: Taking taylor expansion of n in f 6.902 * [backup-simplify]: Simplify n into n 6.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.903 * [backup-simplify]: Simplify (+ 1 0) into 1 6.903 * [backup-simplify]: Simplify (/ 1 1) into 1 6.903 * [taylor]: Taking taylor expansion of 1 in n 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.903 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.904 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 6.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.904 * [taylor]: Taking taylor expansion of n in n 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (/ 1 1) into 1 6.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.906 * [backup-simplify]: Simplify (- 0) into 0 6.906 * [backup-simplify]: Simplify (+ 0 0) into 0 6.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 6.907 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.907 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.907 * [taylor]: Taking taylor expansion of n in n 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (* 1 1) into 1 6.907 * [backup-simplify]: Simplify (/ 1 1) into 1 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (/ 1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (- (/ 1 n) (/ 1 f))) 6.911 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.911 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 6.911 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.911 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.911 * [taylor]: Taking taylor expansion of n in n 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (/ 1 1) into 1 6.911 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.911 * [taylor]: Taking taylor expansion of f in n 6.911 * [backup-simplify]: Simplify f into f 6.911 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.912 * [backup-simplify]: Simplify (+ 1 0) into 1 6.912 * [backup-simplify]: Simplify (/ 1 1) into 1 6.912 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 6.912 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.912 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.912 * [taylor]: Taking taylor expansion of n in f 6.912 * [backup-simplify]: Simplify n into n 6.912 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.912 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.912 * [taylor]: Taking taylor expansion of f in f 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.912 * [backup-simplify]: Simplify (/ 1 1) into 1 6.912 * [backup-simplify]: Simplify (- 1) into -1 6.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.913 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.913 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 6.913 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.913 * [taylor]: Taking taylor expansion of n in f 6.913 * [backup-simplify]: Simplify n into n 6.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.913 * [taylor]: Taking taylor expansion of f in f 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 1 into 1 6.913 * [backup-simplify]: Simplify (/ 1 1) into 1 6.914 * [backup-simplify]: Simplify (- 1) into -1 6.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.914 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.914 * [taylor]: Taking taylor expansion of -1 in n 6.914 * [backup-simplify]: Simplify -1 into -1 6.914 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (- 0) into 0 6.915 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.915 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 6.915 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.915 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.915 * [taylor]: Taking taylor expansion of n in n 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.916 * [backup-simplify]: Simplify (/ 1 1) into 1 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (- 0) into 0 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify 0 into 0 6.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (- 0) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 6.918 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.918 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.918 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.918 * [taylor]: Taking taylor expansion of n in n 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify (* 1 1) into 1 6.919 * [backup-simplify]: Simplify (/ 1 1) into 1 6.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (- 0) into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * * * [progress]: simplifying candidates 6.928 * [simplify]: Simplifying: (expm1 (* (- (+ f n)) (/ 1 (- f n)))) (log1p (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ f n)) (/ 1 (- f n))) (+ (log (- (+ f n))) (- (log (- f n)))) (+ (log (- (+ f n))) (- 0 (log (- f n)))) (+ (log (- (+ f n))) (- (log 1) (log (- f n)))) (+ (log (- (+ f n))) (log (/ 1 (- f n)))) (log (* (- (+ f n)) (/ 1 (- f n)))) (exp (* (- (+ f n)) (/ 1 (- f n)))) (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n)))) (* (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (cbrt (* (- (+ f n)) (/ 1 (- f n))))) (cbrt (* (- (+ f n)) (/ 1 (- f n)))) (* (* (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ f n)) (/ 1 (- f n)))) (sqrt (* (- (+ f n)) (/ 1 (- f n)))) (sqrt (* (- (+ f n)) (/ 1 (- f n)))) (* (- (+ (pow f 3) (pow n 3))) 1) (* (+ (* f f) (- (* n n) (* f n))) (- f n)) (* (- (- (* f f) (* n n))) 1) (* (- f n) (- f n)) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ (sqrt 1) (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ 1 (sqrt (- f n)))) (* (sqrt (- (+ f n))) (/ 1 (sqrt (- f n)))) (* (+ f n) (/ 1 (- f n))) (* (- (+ f n)) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n))))) (* (- (+ f n)) (sqrt (/ 1 (- f n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- f n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (+ f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ (sqrt 1) (sqrt (- f n)))) (* (- (+ f n)) (/ (sqrt 1) 1)) (* (- (+ f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ (sqrt 1) 1)) (* (- (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (+ f n)) (/ 1 (sqrt (- f n)))) (* (- (+ f n)) (/ 1 1)) (* (- (+ f n)) (/ 1 (+ (sqrt f) (sqrt n)))) (* (- (+ f n)) (/ 1 1)) (* (- (+ f n)) 1) (* (- (+ f n)) 1) (* (- (+ f n)) (/ 1 (- (pow f 3) (pow n 3)))) (* (- (+ f n)) (/ 1 (- (* f f) (* n n)))) (* (cbrt (- (+ f n))) (/ 1 (- f n))) (* (sqrt (- (+ f n))) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (cbrt (+ f n)) (/ 1 (- f n))) (* (sqrt (+ f n)) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (+ f n) (/ 1 (- f n))) (* (- (cbrt (+ f n))) (/ 1 (- f n))) (* (- (sqrt (+ f n))) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) (/ 1 (- f n))) (* (- (+ f n)) 1) (* (- (+ (pow f 3) (pow n 3))) (/ 1 (- f n))) (* (- (- (* f f) (* n n))) (/ 1 (- f n))) (expm1 (/ 1 (- f n))) (log1p (/ 1 (- f n))) (- 1) (- (log (- f n))) (- 0 (log (- f n))) (- (log 1) (log (- f n))) (log (/ 1 (- f n))) (exp (/ 1 (- f n))) (/ (* (* 1 1) 1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (cbrt (/ 1 (- f n))) (* (* (/ 1 (- f n)) (/ 1 (- f n))) (/ 1 (- f n))) (sqrt (/ 1 (- f n))) (sqrt (/ 1 (- f n))) (- 1) (- (- f n)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt 1) (cbrt (- f n))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- f n))) (/ (cbrt 1) (sqrt (- f n))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- f n)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt f) (sqrt n))) (/ (cbrt 1) (- (sqrt f) (sqrt n))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- f n)) (/ (sqrt 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt 1) (cbrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt 1) (sqrt (- f n))) (/ (sqrt 1) 1) (/ (sqrt 1) (- f n)) (/ (sqrt 1) (+ (sqrt f) (sqrt n))) (/ (sqrt 1) (- (sqrt f) (sqrt n))) (/ (sqrt 1) 1) (/ (sqrt 1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 1) (/ 1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ 1 (- f n)) (/ 1 (- f n)) (/ (- f n) 1) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ 1 1) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 1) (/ (- f n) (cbrt 1)) (/ (- f n) (sqrt 1)) (/ (- f n) 1) (/ 1 (- (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 6.932 * * [simplify]: Extracting # 0 : cost 0 6.932 * * [simplify]: Extracting # 1 : cost 0 6.933 * * [simplify]: Extracting # 2 : cost 0 6.933 * * [simplify]: Extracting # 3 : cost 0 6.933 * * [simplify]: Extracting # 4 : cost 0 6.934 * * [simplify]: Extracting # 5 : cost 0 6.934 * * [simplify]: Extracting # 6 : cost 0 6.934 * * [simplify]: Extracting # 7 : cost 0 6.935 * * [simplify]: iteration 0 : 136 enodes (cost 1201 ) 6.989 * * [simplify]: Extracting # 0 : cost 0 6.989 * * [simplify]: Extracting # 1 : cost 0 6.990 * * [simplify]: Extracting # 2 : cost 0 6.991 * * [simplify]: Extracting # 3 : cost 0 6.992 * * [simplify]: Extracting # 4 : cost 0 6.992 * * [simplify]: iteration 1 : 386 enodes (cost 1043 ) 7.291 * * [simplify]: Extracting # 0 : cost 0 7.298 * * [simplify]: Extracting # 1 : cost 0 7.303 * * [simplify]: Extracting # 2 : cost 0 7.309 * * [simplify]: Extracting # 3 : cost 0 7.315 * * [simplify]: Extracting # 4 : cost 0 7.320 * * [simplify]: Extracting # 5 : cost 0 7.326 * * [simplify]: Extracting # 6 : cost 0 7.331 * * [simplify]: iteration 2 : 2430 enodes (cost 898 ) 10.091 * * [simplify]: Extracting # 0 : cost 0 10.127 * * [simplify]: Extracting # 1 : cost 0 10.130 * * [simplify]: Extracting # 2 : cost 0 10.134 * * [simplify]: Extracting # 3 : cost 0 10.138 * * [simplify]: Extracting # 4 : cost 0 10.142 * * [simplify]: iteration done: 5000 enodes (cost 884 ) 10.143 * [simplify]: Simplified to: (expm1 (- (/ (+ f n) (- f n)))) (log1p (- (/ (+ f n) (- f n)))) (- (/ (+ f n) (- f n))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ 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) (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)))) (- (+ (pow n 3) (pow f 3))) (* (- f n) (fma f f (* n (- n f)))) (* (+ n f) (- (- f n))) (* (- f n) (- f n)) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (* (sqrt (- (+ f n))) (sqrt (/ 1 (- f n)))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (+ f n) (- f n)) (* (- (+ f n)) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n))))) (* (sqrt (/ 1 (- f n))) (- (+ f n))) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ f n)) (- (+ f n)) (- (+ f n)) (- (/ (+ n f) (- (pow f 3) (pow n 3)))) (/ (- (+ f n)) (- (* f f) (* n 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))) (- (+ f n)) (/ (- (+ (pow n 3) (pow f 3))) (- f n)) (- (+ f n)) (expm1 (/ 1 (- f n))) (log1p (/ 1 (- f n))) -1 (- (log (- f n))) (- (log (- f n))) (- (log (- f n))) (- (log (- f n))) (exp (/ 1 (- f n))) (pow (/ 1 (- f n)) 3) (* (cbrt (/ 1 (- f n))) (cbrt (/ 1 (- f n)))) (cbrt (/ 1 (- f n))) (pow (/ 1 (- f n)) 3) (sqrt (/ 1 (- f n))) (sqrt (/ 1 (- f n))) -1 (- (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ 1 (- (sqrt f) (sqrt n))) 1 (/ 1 (- f n)) (/ 1 (- f n)) (- f n) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt n) (sqrt f))) 1 (- f n) (- f n) (- f n) (/ 1 (- (pow f 3) (pow n 3))) (/ 1 (fma (- n) n (* f f))) 1 -1 -1 0 0 0 10.144 * * * [progress]: adding candidates to table 10.578 * [progress]: [Phase 3 of 3] Extracting. 10.579 * * [regime]: Finding splitpoints for: (# # # #) 10.581 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 10.582 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 10.627 * * * * [regimes]: Trying to branch on n from (# # # #) 10.674 * * * * [regimes]: Trying to branch on f from (# # # #) 10.711 * * * [regime]: Found split indices: #