0.770 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.171 * * * [progress]: [2/2] Setting up program. 0.177 * [progress]: [Phase 2 of 3] Improving. 0.177 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.180 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.181 * * [simplify]: iteration 0: 6 enodes 0.188 * * [simplify]: iteration 1: 13 enodes 0.192 * * [simplify]: iteration 2: 16 enodes 0.197 * * [simplify]: iteration 3: 20 enodes 0.202 * * [simplify]: iteration 4: 24 enodes 0.208 * * [simplify]: iteration 5: 29 enodes 0.215 * * [simplify]: iteration 6: 31 enodes 0.222 * * [simplify]: iteration complete: 31 enodes 0.222 * * [simplify]: Extracting #0: cost 1 inf + 0 0.223 * * [simplify]: Extracting #1: cost 9 inf + 0 0.223 * * [simplify]: Extracting #2: cost 14 inf + 0 0.223 * * [simplify]: Extracting #3: cost 11 inf + 43 0.224 * * [simplify]: Extracting #4: cost 2 inf + 860 0.224 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.224 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.227 * * [progress]: iteration 1 / 4 0.227 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.319 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.319 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.320 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.320 * [taylor]: Taking taylor expansion of -1 in n 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.320 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 0.320 * [backup-simplify]: Simplify f into f 0.320 * [taylor]: Taking taylor expansion of (- f n) in n 0.320 * [taylor]: Taking taylor expansion of f in n 0.320 * [backup-simplify]: Simplify f into f 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 (+ 0 f) into f 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ f 0) into f 0.321 * [backup-simplify]: Simplify (/ f f) into 1 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.321 * [taylor]: Taking taylor expansion of -1 in f 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.321 * [taylor]: Taking taylor expansion of (+ n f) in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [backup-simplify]: Simplify n into n 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (- f n) in f 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [backup-simplify]: Simplify n into n 0.321 * [backup-simplify]: Simplify (+ n 0) into n 0.321 * [backup-simplify]: Simplify (- n) into (- n) 0.321 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.321 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.321 * [taylor]: Taking taylor expansion of -1 in f 0.321 * [backup-simplify]: Simplify -1 into -1 0.321 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.321 * [taylor]: Taking taylor expansion of (+ n f) in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [backup-simplify]: Simplify n into n 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (- f n) in f 0.322 * [taylor]: Taking taylor expansion of f in f 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of n in f 0.322 * [backup-simplify]: Simplify n into n 0.322 * [backup-simplify]: Simplify (+ n 0) into n 0.322 * [backup-simplify]: Simplify (- n) into (- n) 0.322 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.322 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.323 * [backup-simplify]: Simplify (* -1 -1) into 1 0.323 * [taylor]: Taking taylor expansion of 1 in n 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (+ 0 1) into 1 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.324 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [backup-simplify]: Simplify 2 into 2 0.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.328 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.328 * [taylor]: Taking taylor expansion of 2 in n 0.328 * [backup-simplify]: Simplify 2 into 2 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.328 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [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)))) 0.336 * [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))) 0.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.336 * [taylor]: Taking taylor expansion of 2 in n 0.336 * [backup-simplify]: Simplify 2 into 2 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.336 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [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 0.343 * [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 0.343 * [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 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ 0 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [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 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.345 * [taylor]: Taking taylor expansion of n in f 0.345 * [backup-simplify]: Simplify n into n 0.345 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.345 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.346 * [taylor]: Taking taylor expansion of -1 in f 0.346 * [backup-simplify]: Simplify -1 into -1 0.346 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 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 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.347 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.347 * [taylor]: Taking taylor expansion of f in f 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [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 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (* -1 1) into -1 0.348 * [taylor]: Taking taylor expansion of -1 in n 0.348 * [backup-simplify]: Simplify -1 into -1 0.348 * [backup-simplify]: Simplify -1 into -1 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.349 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.350 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.350 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.350 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.350 * [taylor]: Taking taylor expansion of 2 in n 0.350 * [backup-simplify]: Simplify 2 into 2 0.350 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.354 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.354 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.354 * [taylor]: Taking taylor expansion of 2 in n 0.355 * [backup-simplify]: Simplify 2 into 2 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.355 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.355 * [taylor]: Taking taylor expansion of n in n 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [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))) 0.363 * [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)))) 0.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.363 * [taylor]: Taking taylor expansion of 2 in n 0.363 * [backup-simplify]: Simplify 2 into 2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.363 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.363 * [taylor]: Taking taylor expansion of n in n 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify -1 into -1 0.370 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.370 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.370 * [taylor]: Taking taylor expansion of f in n 0.370 * [backup-simplify]: Simplify f into f 0.370 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.370 * [taylor]: Taking taylor expansion of f in n 0.370 * [backup-simplify]: Simplify f into f 0.370 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.371 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.371 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.371 * [taylor]: Taking taylor expansion of f in f 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.372 * [taylor]: Taking taylor expansion of n in f 0.372 * [backup-simplify]: Simplify n into n 0.372 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.372 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.372 * [taylor]: Taking taylor expansion of n in f 0.372 * [backup-simplify]: Simplify n into n 0.372 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.372 * [taylor]: Taking taylor expansion of f in f 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.373 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.373 * [taylor]: Taking taylor expansion of f in f 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [backup-simplify]: Simplify n into n 0.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.373 * [taylor]: Taking taylor expansion of n in f 0.373 * [backup-simplify]: Simplify n into n 0.374 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.374 * [taylor]: Taking taylor expansion of f in f 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (- 1) into -1 0.375 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.375 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.375 * [taylor]: Taking taylor expansion of -1 in n 0.375 * [backup-simplify]: Simplify -1 into -1 0.375 * [backup-simplify]: Simplify -1 into -1 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.376 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) 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 n) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.381 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.381 * [taylor]: Taking taylor expansion of 2 in n 0.381 * [backup-simplify]: Simplify 2 into 2 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.381 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [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)))) 0.389 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.389 * [taylor]: Taking taylor expansion of 2 in n 0.389 * [backup-simplify]: Simplify 2 into 2 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.389 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * * * [progress]: simplifying candidates 0.396 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.396 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.397 * * * * [progress]: [ 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0.398 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.398 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.399 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.399 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.407 * [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)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.409 * * [simplify]: iteration 0: 136 enodes 0.438 * * [simplify]: iteration 1: 317 enodes 0.610 * * [simplify]: iteration 2: 709 enodes 0.955 * * [simplify]: iteration 3: 2000 enodes 1.390 * * [simplify]: iteration complete: 2000 enodes 1.390 * * [simplify]: Extracting #0: cost 89 inf + 0 1.391 * * [simplify]: Extracting #1: cost 296 inf + 3 1.393 * * [simplify]: Extracting #2: cost 541 inf + 5463 1.402 * * [simplify]: Extracting #3: cost 323 inf + 56996 1.435 * * [simplify]: Extracting #4: cost 147 inf + 104979 1.485 * * [simplify]: Extracting #5: cost 21 inf + 128501 1.513 * * [simplify]: Extracting #6: cost 4 inf + 131651 1.537 * * [simplify]: Extracting #7: cost 0 inf + 132663 1.566 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (log (- (/ (+ n f) (- f n)))) (exp (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (* (cbrt (- (/ (+ n f) (- f n)))) (cbrt (- (/ (+ n f) (- f n))))) (cbrt (- (/ (+ n f) (- f n)))) (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (sqrt (- (/ (+ n f) (- f n)))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- 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)))) (/ (cbrt (- (- f) n)) (sqrt (- f n))) (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (/ (cbrt (- (- f) n)) (- f n)) (/ (* (cbrt (- (- f) n)) (cbrt (- (- f) n))) (+ (sqrt n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (sqrt (- (- f) n)) (- (sqrt f) (sqrt n))) (sqrt (- (- f) n)) (/ (sqrt (- (- f) n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (* (/ (cbrt (+ n f)) (+ (sqrt n) (sqrt f))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (+ n f) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) (/ (- (- f) n) (sqrt (- f n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (- f) n) (- (sqrt f) (sqrt n))) 1 (- (/ (+ n f) (- f n))) (/ 1 (- f n)) (/ (- f n) (- (- f) n)) (/ (+ n f) (- f n)) (/ (- (- f) n) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (- f) n) (sqrt (- f n))) (- (- f) n) (/ (- (- f) n) (+ (sqrt n) (sqrt f))) (- (- f) n) (/ (- f n) (cbrt (- (- f) n))) (/ (- f n) (sqrt (- (- f) n))) (/ (- f n) (- (- f) n)) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (- f) n) (- (* f (* f f)) (* (* n n) n))) (- (/ 1 (- f n))) (* (- f n) (fma f f (* (- n f) n))) (* (- f n) (- f n)) (real->posit16 (- (/ (+ n f) (- f n)))) 1 -1 -1 1.577 * * * [progress]: adding candidates to table 1.873 * * [progress]: iteration 2 / 4 1.873 * * * [progress]: picking best candidate 1.881 * * * * [pick]: Picked # 1.881 * * * [progress]: localizing error 1.899 * * * [progress]: generating rewritten candidates 1.899 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.926 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.980 * * * [progress]: generating series expansions 1.980 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.980 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.980 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.980 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.980 * [taylor]: Taking taylor expansion of -1 in n 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.980 * [taylor]: Taking taylor expansion of (+ n f) in n 1.980 * [taylor]: Taking taylor expansion of n in n 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of f in n 1.980 * [backup-simplify]: Simplify f into f 1.980 * [taylor]: Taking taylor expansion of (- f n) in n 1.980 * [taylor]: Taking taylor expansion of f in n 1.980 * [backup-simplify]: Simplify f into f 1.980 * [taylor]: Taking taylor expansion of n in n 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (+ 0 f) into f 1.981 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (+ f 0) into f 1.981 * [backup-simplify]: Simplify (/ f f) into 1 1.981 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.981 * [taylor]: Taking taylor expansion of -1 in f 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.981 * [taylor]: Taking taylor expansion of (+ n f) in f 1.981 * [taylor]: Taking taylor expansion of n in f 1.981 * [backup-simplify]: Simplify n into n 1.981 * [taylor]: Taking taylor expansion of f in f 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of (- f n) in f 1.981 * [taylor]: Taking taylor expansion of f in f 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of n in f 1.981 * [backup-simplify]: Simplify n into n 1.981 * [backup-simplify]: Simplify (+ n 0) into n 1.981 * [backup-simplify]: Simplify (- n) into (- n) 1.981 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.981 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.981 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.981 * [taylor]: Taking taylor expansion of -1 in f 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.981 * [taylor]: Taking taylor expansion of (+ n f) in f 1.981 * [taylor]: Taking taylor expansion of n in f 1.981 * [backup-simplify]: Simplify n into n 1.981 * [taylor]: Taking taylor expansion of f in f 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of (- f n) in f 1.981 * [taylor]: Taking taylor expansion of f in f 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of n in f 1.981 * [backup-simplify]: Simplify n into n 1.981 * [backup-simplify]: Simplify (+ n 0) into n 1.981 * [backup-simplify]: Simplify (- n) into (- n) 1.981 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.981 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.982 * [backup-simplify]: Simplify (* -1 -1) into 1 1.982 * [taylor]: Taking taylor expansion of 1 in n 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (+ 0 1) into 1 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.983 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.983 * [taylor]: Taking taylor expansion of 2 in n 1.983 * [backup-simplify]: Simplify 2 into 2 1.983 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.983 * [taylor]: Taking taylor expansion of n in n 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 2 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 (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.986 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.986 * [taylor]: Taking taylor expansion of 2 in n 1.986 * [backup-simplify]: Simplify 2 into 2 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.986 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.986 * [taylor]: Taking taylor expansion of n in n 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [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)))) 1.992 * [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))) 1.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.992 * [taylor]: Taking taylor expansion of 2 in n 1.992 * [backup-simplify]: Simplify 2 into 2 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.992 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.992 * [taylor]: Taking taylor expansion of n in n 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.999 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.999 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.999 * [taylor]: Taking taylor expansion of -1 in n 1.999 * [backup-simplify]: Simplify -1 into -1 1.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.999 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.999 * [taylor]: Taking taylor expansion of f in n 1.999 * [backup-simplify]: Simplify f into f 1.999 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.999 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.999 * [taylor]: Taking taylor expansion of n in n 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.999 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.999 * [taylor]: Taking taylor expansion of f in n 1.999 * [backup-simplify]: Simplify f into f 1.999 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.999 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.999 * [taylor]: Taking taylor expansion of n in n 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [backup-simplify]: Simplify (+ 0 1) into 1 2.000 * [backup-simplify]: Simplify (- 1) into -1 2.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.000 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.001 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.001 * [taylor]: Taking taylor expansion of -1 in f 2.001 * [backup-simplify]: Simplify -1 into -1 2.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.001 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.001 * [taylor]: Taking taylor expansion of f in f 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.001 * [taylor]: Taking taylor expansion of n in f 2.001 * [backup-simplify]: Simplify n into n 2.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.001 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.001 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.001 * [taylor]: Taking taylor expansion of f in f 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.001 * [taylor]: Taking taylor expansion of n in f 2.001 * [backup-simplify]: Simplify n into n 2.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.002 * [backup-simplify]: Simplify (+ 1 0) into 1 2.002 * [backup-simplify]: Simplify (+ 1 0) into 1 2.002 * [backup-simplify]: Simplify (/ 1 1) into 1 2.002 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.002 * [taylor]: Taking taylor expansion of -1 in f 2.002 * [backup-simplify]: Simplify -1 into -1 2.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.002 * [taylor]: Taking taylor expansion of f in f 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.003 * [taylor]: Taking taylor expansion of n in f 2.003 * [backup-simplify]: Simplify n into n 2.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.003 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.003 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.003 * [taylor]: Taking taylor expansion of f in f 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.003 * [taylor]: Taking taylor expansion of n in f 2.003 * [backup-simplify]: Simplify n into n 2.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.003 * [backup-simplify]: Simplify (+ 1 0) into 1 2.004 * [backup-simplify]: Simplify (+ 1 0) into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.004 * [backup-simplify]: Simplify (* -1 1) into -1 2.004 * [taylor]: Taking taylor expansion of -1 in n 2.004 * [backup-simplify]: Simplify -1 into -1 2.004 * [backup-simplify]: Simplify -1 into -1 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.006 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.006 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.006 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.006 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.006 * [taylor]: Taking taylor expansion of 2 in n 2.007 * [backup-simplify]: Simplify 2 into 2 2.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.007 * [taylor]: Taking taylor expansion of n in n 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.014 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.014 * [taylor]: Taking taylor expansion of 2 in n 2.014 * [backup-simplify]: Simplify 2 into 2 2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.014 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.014 * [taylor]: Taking taylor expansion of n in n 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (- 0) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [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))) 2.025 * [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)))) 2.025 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.025 * [taylor]: Taking taylor expansion of 2 in n 2.025 * [backup-simplify]: Simplify 2 into 2 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.025 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.025 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify -1 into -1 2.032 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.032 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.032 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.032 * [taylor]: Taking taylor expansion of f in n 2.032 * [backup-simplify]: Simplify f into f 2.032 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.032 * [taylor]: Taking taylor expansion of n in n 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.033 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.033 * [taylor]: Taking taylor expansion of n in n 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.033 * [taylor]: Taking taylor expansion of f in n 2.033 * [backup-simplify]: Simplify f into f 2.033 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.034 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.034 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.034 * [taylor]: Taking taylor expansion of f in f 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.034 * [taylor]: Taking taylor expansion of n in f 2.034 * [backup-simplify]: Simplify n into n 2.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.034 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.034 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.035 * [taylor]: Taking taylor expansion of n in f 2.035 * [backup-simplify]: Simplify n into n 2.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.035 * [taylor]: Taking taylor expansion of f in f 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (- 1) into -1 2.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.036 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.036 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.036 * [taylor]: Taking taylor expansion of f in f 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.036 * [taylor]: Taking taylor expansion of n in f 2.036 * [backup-simplify]: Simplify n into n 2.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.036 * [taylor]: Taking taylor expansion of n in f 2.036 * [backup-simplify]: Simplify n into n 2.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.036 * [taylor]: Taking taylor expansion of f in f 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [backup-simplify]: Simplify (+ 1 0) into 1 2.037 * [backup-simplify]: Simplify (- 1) into -1 2.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.038 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.038 * [taylor]: Taking taylor expansion of -1 in n 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [backup-simplify]: Simplify -1 into -1 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.039 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.039 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.039 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.039 * [taylor]: Taking taylor expansion of 2 in n 2.039 * [backup-simplify]: Simplify 2 into 2 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 2.040 * [backup-simplify]: Simplify (+ (* 2 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 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.043 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.043 * [taylor]: Taking taylor expansion of 2 in n 2.043 * [backup-simplify]: Simplify 2 into 2 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.043 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.044 * [taylor]: Taking taylor expansion of n in n 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (* 1 1) into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.048 * [backup-simplify]: Simplify (- 0) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [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)))) 2.053 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.053 * [taylor]: Taking taylor expansion of 2 in n 2.053 * [backup-simplify]: Simplify 2 into 2 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.053 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.053 * [taylor]: Taking taylor expansion of n in n 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify -1 into -1 2.064 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.064 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 2.064 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.064 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.064 * [taylor]: Taking taylor expansion of -1 in n 2.064 * [backup-simplify]: Simplify -1 into -1 2.064 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.064 * [taylor]: Taking taylor expansion of (+ n f) in n 2.064 * [taylor]: Taking taylor expansion of n in n 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [taylor]: Taking taylor expansion of f in n 2.064 * [backup-simplify]: Simplify f into f 2.064 * [taylor]: Taking taylor expansion of (- f n) in n 2.064 * [taylor]: Taking taylor expansion of f in n 2.064 * [backup-simplify]: Simplify f into f 2.065 * [taylor]: Taking taylor expansion of n in n 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (+ 0 f) into f 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.065 * [backup-simplify]: Simplify (+ f 0) into f 2.065 * [backup-simplify]: Simplify (/ f f) into 1 2.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.065 * [taylor]: Taking taylor expansion of -1 in f 2.065 * [backup-simplify]: Simplify -1 into -1 2.065 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.065 * [taylor]: Taking taylor expansion of (+ n f) in f 2.065 * [taylor]: Taking taylor expansion of n in f 2.065 * [backup-simplify]: Simplify n into n 2.065 * [taylor]: Taking taylor expansion of f in f 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of (- f n) in f 2.065 * [taylor]: Taking taylor expansion of f in f 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [taylor]: Taking taylor expansion of n in f 2.065 * [backup-simplify]: Simplify n into n 2.065 * [backup-simplify]: Simplify (+ n 0) into n 2.065 * [backup-simplify]: Simplify (- n) into (- n) 2.065 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.065 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.065 * [taylor]: Taking taylor expansion of -1 in f 2.065 * [backup-simplify]: Simplify -1 into -1 2.065 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.065 * [taylor]: Taking taylor expansion of (+ n f) in f 2.065 * [taylor]: Taking taylor expansion of n in f 2.065 * [backup-simplify]: Simplify n into n 2.065 * [taylor]: Taking taylor expansion of f in f 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 2.066 * [backup-simplify]: Simplify n into n 2.066 * [backup-simplify]: Simplify (+ n 0) into n 2.066 * [backup-simplify]: Simplify (- n) into (- n) 2.066 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.066 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.066 * [backup-simplify]: Simplify (* -1 -1) into 1 2.066 * [taylor]: Taking taylor expansion of 1 in n 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (+ 0 1) into 1 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.067 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.068 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.068 * [taylor]: Taking taylor expansion of 2 in n 2.068 * [backup-simplify]: Simplify 2 into 2 2.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.068 * [taylor]: Taking taylor expansion of n in n 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (/ 1 1) into 1 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.071 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.071 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.071 * [taylor]: Taking taylor expansion of 2 in n 2.071 * [backup-simplify]: Simplify 2 into 2 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.071 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.071 * [taylor]: Taking taylor expansion of n in n 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [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)))) 2.077 * [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))) 2.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.077 * [taylor]: Taking taylor expansion of 2 in n 2.077 * [backup-simplify]: Simplify 2 into 2 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.077 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.083 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.083 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.083 * [taylor]: Taking taylor expansion of -1 in n 2.083 * [backup-simplify]: Simplify -1 into -1 2.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.083 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.083 * [taylor]: Taking taylor expansion of f in n 2.083 * [backup-simplify]: Simplify f into f 2.083 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.083 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.083 * [taylor]: Taking taylor expansion of n in n 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.084 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.084 * [taylor]: Taking taylor expansion of f in n 2.084 * [backup-simplify]: Simplify f into f 2.084 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.084 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.084 * [taylor]: Taking taylor expansion of n in n 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [backup-simplify]: Simplify (+ 0 1) into 1 2.085 * [backup-simplify]: Simplify (- 1) into -1 2.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.085 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.085 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.086 * [taylor]: Taking taylor expansion of -1 in f 2.086 * [backup-simplify]: Simplify -1 into -1 2.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.086 * [taylor]: Taking taylor expansion of f in f 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.086 * [taylor]: Taking taylor expansion of n in f 2.086 * [backup-simplify]: Simplify n into n 2.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.086 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.086 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.086 * [taylor]: Taking taylor expansion of f in f 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.087 * [taylor]: Taking taylor expansion of n in f 2.087 * [backup-simplify]: Simplify n into n 2.087 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.087 * [backup-simplify]: Simplify (+ 1 0) into 1 2.088 * [backup-simplify]: Simplify (+ 1 0) into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.088 * [taylor]: Taking taylor expansion of -1 in f 2.088 * [backup-simplify]: Simplify -1 into -1 2.088 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.088 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.088 * [taylor]: Taking taylor expansion of f in f 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.089 * [taylor]: Taking taylor expansion of n in f 2.089 * [backup-simplify]: Simplify n into n 2.089 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.089 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.089 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.089 * [taylor]: Taking taylor expansion of f in f 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.090 * [taylor]: Taking taylor expansion of n in f 2.090 * [backup-simplify]: Simplify n into n 2.090 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.090 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [backup-simplify]: Simplify (* -1 1) into -1 2.092 * [taylor]: Taking taylor expansion of -1 in n 2.092 * [backup-simplify]: Simplify -1 into -1 2.092 * [backup-simplify]: Simplify -1 into -1 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.094 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.094 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.094 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.095 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.095 * [taylor]: Taking taylor expansion of 2 in n 2.095 * [backup-simplify]: Simplify 2 into 2 2.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- 0) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.102 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.102 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.102 * [taylor]: Taking taylor expansion of 2 in n 2.102 * [backup-simplify]: Simplify 2 into 2 2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.102 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.102 * [taylor]: Taking taylor expansion of n in n 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.109 * [backup-simplify]: Simplify (- 0) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [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))) 2.110 * [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)))) 2.110 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.110 * [taylor]: Taking taylor expansion of 2 in n 2.110 * [backup-simplify]: Simplify 2 into 2 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.110 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.110 * [taylor]: Taking taylor expansion of n in n 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.117 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.117 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.117 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.117 * [taylor]: Taking taylor expansion of f in n 2.117 * [backup-simplify]: Simplify f into f 2.117 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.117 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.117 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.117 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.117 * [taylor]: Taking taylor expansion of n in n 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.118 * [taylor]: Taking taylor expansion of f in n 2.118 * [backup-simplify]: Simplify f into f 2.118 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.118 * [backup-simplify]: Simplify (+ 0 1) into 1 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.119 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.119 * [taylor]: Taking taylor expansion of f in f 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.119 * [taylor]: Taking taylor expansion of n in f 2.119 * [backup-simplify]: Simplify n into n 2.119 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.119 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.119 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.119 * [taylor]: Taking taylor expansion of n in f 2.119 * [backup-simplify]: Simplify n into n 2.119 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.119 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.119 * [taylor]: Taking taylor expansion of f in f 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [backup-simplify]: Simplify (+ 1 0) into 1 2.120 * [backup-simplify]: Simplify (- 1) into -1 2.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.120 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.120 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.120 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.120 * [taylor]: Taking taylor expansion of f in f 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.121 * [taylor]: Taking taylor expansion of n in f 2.121 * [backup-simplify]: Simplify n into n 2.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.121 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.121 * [taylor]: Taking taylor expansion of n in f 2.121 * [backup-simplify]: Simplify n into n 2.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.121 * [taylor]: Taking taylor expansion of f in f 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 2.121 * [backup-simplify]: Simplify (+ 1 0) into 1 2.122 * [backup-simplify]: Simplify (- 1) into -1 2.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.122 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.122 * [taylor]: Taking taylor expansion of -1 in n 2.122 * [backup-simplify]: Simplify -1 into -1 2.122 * [backup-simplify]: Simplify -1 into -1 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- 0) into 0 2.124 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.124 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.124 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.124 * [taylor]: Taking taylor expansion of 2 in n 2.124 * [backup-simplify]: Simplify 2 into 2 2.124 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.124 * [taylor]: Taking taylor expansion of n in n 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.128 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.128 * [taylor]: Taking taylor expansion of 2 in n 2.128 * [backup-simplify]: Simplify 2 into 2 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.128 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.128 * [taylor]: Taking taylor expansion of n in n 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify (/ 1 1) into 1 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (- 0) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (- 0) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [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)))) 2.141 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.141 * [taylor]: Taking taylor expansion of 2 in n 2.141 * [backup-simplify]: Simplify 2 into 2 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.141 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 into -1 2.147 * * * [progress]: simplifying candidates 2.147 * * * * [progress]: [ 1 / 188 ] simplifiying candidate # 2.147 * * * * [progress]: [ 2 / 188 ] simplifiying candidate # 2.147 * * * * [progress]: [ 3 / 188 ] simplifiying candidate # 2.147 * * * * [progress]: [ 4 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 5 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 6 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 7 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 8 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 9 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 10 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 11 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 12 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 13 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 14 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 15 / 188 ] simplifiying candidate # 2.148 * * * * [progress]: [ 16 / 188 ] 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* * * * [progress]: [ 185 / 188 ] simplifiying candidate # 2.156 * * * * [progress]: [ 186 / 188 ] simplifiying candidate # 2.156 * * * * [progress]: [ 187 / 188 ] simplifiying candidate # 2.156 * * * * [progress]: [ 188 / 188 ] simplifiying candidate # 2.158 * [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)) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (log (exp (/ (- (+ f n)) (- f n))))) (log1p (log (exp (/ (- (+ f n)) (- f n))))) (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log 1) (log (exp (/ (- (+ f n)) (- f n)))) (log 1) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ 0 (- f n)))) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ (+ f n) (- f n)))) (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))))) (log (exp (sqrt (/ (- (+ f n)) (- f n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1))) (log (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (- (+ f n))) (sqrt (- f n))))) (log (exp (/ (sqrt (- (+ f n))) 1))) (log (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (- (+ f n))) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ -1 (sqrt (- f n))))) (log (exp (/ -1 1))) (log (exp (/ -1 (+ (sqrt f) (sqrt n))))) (log (exp (/ -1 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1))) (log (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- (sqrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- (sqrt (+ f n))) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (- 1) (sqrt (- f n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (- 1) (+ (sqrt f) (sqrt n))))) (log (exp (/ (- 1) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (real->posit16 (log (exp (/ (- (+ f n)) (- f n))))) 1 -1 -1 1 -1 -1 2.160 * * [simplify]: iteration 0: 242 enodes 2.219 * * [simplify]: iteration 1: 438 enodes 2.340 * * [simplify]: iteration 2: 930 enodes 2.621 * * [simplify]: iteration 3: 2001 enodes 3.003 * * [simplify]: iteration complete: 2001 enodes 3.003 * * [simplify]: Extracting #0: cost 92 inf + 0 3.004 * * [simplify]: Extracting #1: cost 338 inf + 3 3.007 * * [simplify]: Extracting #2: cost 567 inf + 419 3.018 * * [simplify]: Extracting #3: cost 521 inf + 29357 3.047 * * [simplify]: Extracting #4: cost 242 inf + 94454 3.077 * * [simplify]: Extracting #5: cost 45 inf + 145488 3.101 * * [simplify]: Extracting #6: cost 5 inf + 157691 3.132 * * [simplify]: Extracting #7: cost 0 inf + 158925 3.163 * [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)))) (* (- (/ (+ 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)) (* (/ (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 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(sqrt (- (/ (+ f n) (- f n)))) (real->posit16 (- (/ (+ f n) (- f n)))) 1 -1 -1 1 -1 -1 3.185 * * * [progress]: adding candidates to table 3.844 * * [progress]: iteration 3 / 4 3.845 * * * [progress]: picking best candidate 3.855 * * * * [pick]: Picked # 3.855 * * * [progress]: localizing error 3.878 * * * [progress]: generating rewritten candidates 3.878 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.902 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.920 * * * [progress]: generating series expansions 3.920 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.920 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 3.920 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 3.920 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.920 * [taylor]: Taking taylor expansion of (- f n) in n 3.920 * [taylor]: Taking taylor expansion of f in n 3.920 * [backup-simplify]: Simplify f into f 3.920 * [taylor]: Taking taylor expansion of n in n 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [taylor]: Taking taylor expansion of (+ n f) in n 3.920 * [taylor]: Taking taylor expansion of n in n 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [taylor]: Taking taylor expansion of f in n 3.920 * [backup-simplify]: Simplify f into f 3.921 * [backup-simplify]: Simplify (- 0) into 0 3.921 * [backup-simplify]: Simplify (+ f 0) into f 3.921 * [backup-simplify]: Simplify (+ 0 f) into f 3.921 * [backup-simplify]: Simplify (/ f f) into 1 3.921 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.921 * [taylor]: Taking taylor expansion of (- f n) in f 3.921 * [taylor]: Taking taylor expansion of f in f 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of n in f 3.921 * [backup-simplify]: Simplify n into n 3.921 * [taylor]: Taking taylor expansion of (+ n f) in f 3.921 * [taylor]: Taking taylor expansion of n in f 3.921 * [backup-simplify]: Simplify n into n 3.921 * [taylor]: Taking taylor expansion of f in f 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (- n) into (- n) 3.921 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.921 * [backup-simplify]: Simplify (+ n 0) into n 3.921 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.921 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.921 * [taylor]: Taking taylor expansion of (- f n) in f 3.921 * [taylor]: Taking taylor expansion of f in f 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of n in f 3.921 * [backup-simplify]: Simplify n into n 3.921 * [taylor]: Taking taylor expansion of (+ n f) in f 3.921 * [taylor]: Taking taylor expansion of n in f 3.921 * [backup-simplify]: Simplify n into n 3.921 * [taylor]: Taking taylor expansion of f in f 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (- n) into (- n) 3.922 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.922 * [backup-simplify]: Simplify (+ n 0) into n 3.922 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.922 * [taylor]: Taking taylor expansion of -1 in n 3.922 * [backup-simplify]: Simplify -1 into -1 3.922 * [backup-simplify]: Simplify -1 into -1 3.922 * [backup-simplify]: Simplify (- 0) into 0 3.922 * [backup-simplify]: Simplify (+ 1 0) into 1 3.923 * [backup-simplify]: Simplify (+ 0 1) into 1 3.923 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.923 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.923 * [taylor]: Taking taylor expansion of 2 in n 3.923 * [backup-simplify]: Simplify 2 into 2 3.923 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.923 * [taylor]: Taking taylor expansion of n in n 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.925 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.925 * [taylor]: Taking taylor expansion of 2 in n 3.925 * [backup-simplify]: Simplify 2 into 2 3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.925 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.925 * [taylor]: Taking taylor expansion of n in n 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.928 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (- 0) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 3.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.932 * [taylor]: Taking taylor expansion of 2 in n 3.932 * [backup-simplify]: Simplify 2 into 2 3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.932 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.932 * [taylor]: Taking taylor expansion of n in n 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.933 * [backup-simplify]: Simplify (* 1 1) into 1 3.933 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.942 * [backup-simplify]: Simplify -1 into -1 3.942 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 3.942 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.942 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.942 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.942 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.942 * [taylor]: Taking taylor expansion of f in n 3.942 * [backup-simplify]: Simplify f into f 3.942 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.942 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.942 * [taylor]: Taking taylor expansion of n in n 3.942 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (/ 1 1) into 1 3.943 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.943 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.943 * [taylor]: Taking taylor expansion of f in n 3.943 * [backup-simplify]: Simplify f into f 3.943 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.943 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.943 * [taylor]: Taking taylor expansion of n in n 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (/ 1 1) into 1 3.944 * [backup-simplify]: Simplify (- 1) into -1 3.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.945 * [backup-simplify]: Simplify (+ 0 1) into 1 3.946 * [backup-simplify]: Simplify (/ -1 1) into -1 3.946 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.946 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.946 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (/ 1 1) into 1 3.946 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.946 * [taylor]: Taking taylor expansion of n in f 3.946 * [backup-simplify]: Simplify n into n 3.946 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.946 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.946 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.946 * [taylor]: Taking taylor expansion of f in f 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ 1 1) into 1 3.947 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.947 * [taylor]: Taking taylor expansion of n in f 3.947 * [backup-simplify]: Simplify n into n 3.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.947 * [backup-simplify]: Simplify (+ 1 0) into 1 3.948 * [backup-simplify]: Simplify (+ 1 0) into 1 3.948 * [backup-simplify]: Simplify (/ 1 1) into 1 3.948 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.948 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.948 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.948 * [taylor]: Taking taylor expansion of f in f 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (/ 1 1) into 1 3.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.949 * [taylor]: Taking taylor expansion of n in f 3.949 * [backup-simplify]: Simplify n into n 3.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.949 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.949 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.949 * [taylor]: Taking taylor expansion of f in f 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (/ 1 1) into 1 3.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.949 * [taylor]: Taking taylor expansion of n in f 3.949 * [backup-simplify]: Simplify n into n 3.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.950 * [backup-simplify]: Simplify (+ 1 0) into 1 3.950 * [backup-simplify]: Simplify (+ 1 0) into 1 3.956 * [backup-simplify]: Simplify (/ 1 1) into 1 3.956 * [taylor]: Taking taylor expansion of 1 in n 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify 1 into 1 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.957 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.958 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.958 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.958 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.958 * [taylor]: Taking taylor expansion of 2 in n 3.958 * [backup-simplify]: Simplify 2 into 2 3.958 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.958 * [taylor]: Taking taylor expansion of n in n 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [backup-simplify]: Simplify (/ 1 1) into 1 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.959 * [backup-simplify]: Simplify (- 0) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.960 * [backup-simplify]: Simplify (- 0) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.962 * [taylor]: Taking taylor expansion of 2 in n 3.962 * [backup-simplify]: Simplify 2 into 2 3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.962 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.962 * [taylor]: Taking taylor expansion of n in n 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (* 1 1) into 1 3.963 * [backup-simplify]: Simplify (/ 1 1) into 1 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.968 * [backup-simplify]: Simplify (- 0) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.969 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.970 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.970 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.970 * [taylor]: Taking taylor expansion of 2 in n 3.970 * [backup-simplify]: Simplify 2 into 2 3.970 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.970 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.970 * [taylor]: Taking taylor expansion of n in n 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (* 1 1) into 1 3.971 * [backup-simplify]: Simplify (* 1 1) into 1 3.971 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (- 0) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 3.977 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.977 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 3.977 * [taylor]: Taking taylor expansion of -1 in n 3.977 * [backup-simplify]: Simplify -1 into -1 3.977 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.977 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.977 * [taylor]: Taking taylor expansion of f in n 3.977 * [backup-simplify]: Simplify f into f 3.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.977 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.977 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.977 * [taylor]: Taking taylor expansion of f in n 3.977 * [backup-simplify]: Simplify f into f 3.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.978 * [backup-simplify]: Simplify (+ 1 0) into 1 3.978 * [backup-simplify]: Simplify (+ 0 1) into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.978 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.978 * [taylor]: Taking taylor expansion of -1 in f 3.978 * [backup-simplify]: Simplify -1 into -1 3.978 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.979 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.979 * [taylor]: Taking taylor expansion of n in f 3.979 * [backup-simplify]: Simplify n into n 3.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.979 * [taylor]: Taking taylor expansion of f in f 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.979 * [taylor]: Taking taylor expansion of f in f 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.979 * [taylor]: Taking taylor expansion of n in f 3.979 * [backup-simplify]: Simplify n into n 3.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.980 * [backup-simplify]: Simplify (- 1) into -1 3.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.980 * [backup-simplify]: Simplify (+ 1 0) into 1 3.980 * [backup-simplify]: Simplify (/ -1 1) into -1 3.980 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 3.980 * [taylor]: Taking taylor expansion of -1 in f 3.980 * [backup-simplify]: Simplify -1 into -1 3.980 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.980 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.980 * [taylor]: Taking taylor expansion of n in f 3.980 * [backup-simplify]: Simplify n into n 3.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.981 * [taylor]: Taking taylor expansion of f in f 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.981 * [taylor]: Taking taylor expansion of f in f 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.981 * [taylor]: Taking taylor expansion of n in f 3.981 * [backup-simplify]: Simplify n into n 3.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.981 * [backup-simplify]: Simplify (- 1) into -1 3.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.982 * [backup-simplify]: Simplify (+ 1 0) into 1 3.982 * [backup-simplify]: Simplify (/ -1 1) into -1 3.983 * [backup-simplify]: Simplify (* -1 -1) into 1 3.983 * [taylor]: Taking taylor expansion of 1 in n 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.983 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.984 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.984 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.984 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.984 * [taylor]: Taking taylor expansion of 2 in n 3.984 * [backup-simplify]: Simplify 2 into 2 3.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.984 * [taylor]: Taking taylor expansion of n in n 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.985 * [backup-simplify]: Simplify (/ 1 1) into 1 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- 0) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.993 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.993 * [taylor]: Taking taylor expansion of 2 in n 3.993 * [backup-simplify]: Simplify 2 into 2 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.993 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.993 * [taylor]: Taking taylor expansion of n in n 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* 1 1) into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.001 * [backup-simplify]: Simplify (- 0) into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [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))) 4.006 * [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)))) 4.006 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.006 * [taylor]: Taking taylor expansion of 2 in n 4.006 * [backup-simplify]: Simplify 2 into 2 4.006 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.006 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.006 * [taylor]: Taking taylor expansion of n in n 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.007 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.013 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 4.013 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.013 * [taylor]: Taking taylor expansion of -1 in n 4.013 * [backup-simplify]: Simplify -1 into -1 4.013 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.013 * [taylor]: Taking taylor expansion of (+ n f) in n 4.013 * [taylor]: Taking taylor expansion of n in n 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of f in n 4.013 * [backup-simplify]: Simplify f into f 4.013 * [taylor]: Taking taylor expansion of (- f n) in n 4.013 * [taylor]: Taking taylor expansion of f in n 4.013 * [backup-simplify]: Simplify f into f 4.013 * [taylor]: Taking taylor expansion of n in n 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (+ 0 f) into f 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify (+ f 0) into f 4.013 * [backup-simplify]: Simplify (/ f f) into 1 4.013 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.013 * [taylor]: Taking taylor expansion of -1 in f 4.013 * [backup-simplify]: Simplify -1 into -1 4.013 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.013 * [taylor]: Taking taylor expansion of (+ n f) in f 4.013 * [taylor]: Taking taylor expansion of n in f 4.013 * [backup-simplify]: Simplify n into n 4.014 * [taylor]: Taking taylor expansion of f in f 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of (- f n) in f 4.014 * [taylor]: Taking taylor expansion of f in f 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of n in f 4.014 * [backup-simplify]: Simplify n into n 4.014 * [backup-simplify]: Simplify (+ n 0) into n 4.014 * [backup-simplify]: Simplify (- n) into (- n) 4.014 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.014 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.014 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.014 * [taylor]: Taking taylor expansion of -1 in f 4.014 * [backup-simplify]: Simplify -1 into -1 4.014 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.014 * [taylor]: Taking taylor expansion of (+ n f) in f 4.014 * [taylor]: Taking taylor expansion of n in f 4.014 * [backup-simplify]: Simplify n into n 4.014 * [taylor]: Taking taylor expansion of f in f 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of (- f n) in f 4.014 * [taylor]: Taking taylor expansion of f in f 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of n in f 4.014 * [backup-simplify]: Simplify n into n 4.014 * [backup-simplify]: Simplify (+ n 0) into n 4.014 * [backup-simplify]: Simplify (- n) into (- n) 4.014 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.014 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.014 * [backup-simplify]: Simplify (* -1 -1) into 1 4.014 * [taylor]: Taking taylor expansion of 1 in n 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (+ 0 1) into 1 4.015 * [backup-simplify]: Simplify (- 0) into 0 4.015 * [backup-simplify]: Simplify (+ 1 0) into 1 4.015 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.016 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.016 * [taylor]: Taking taylor expansion of 2 in n 4.016 * [backup-simplify]: Simplify 2 into 2 4.016 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.016 * [taylor]: Taking taylor expansion of n in n 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.018 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.018 * [taylor]: Taking taylor expansion of 2 in n 4.018 * [backup-simplify]: Simplify 2 into 2 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [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)))) 4.024 * [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))) 4.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.024 * [taylor]: Taking taylor expansion of 2 in n 4.024 * [backup-simplify]: Simplify 2 into 2 4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.024 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.024 * [taylor]: Taking taylor expansion of n in n 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.024 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.030 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.030 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.030 * [taylor]: Taking taylor expansion of -1 in n 4.030 * [backup-simplify]: Simplify -1 into -1 4.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.030 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.030 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.030 * [taylor]: Taking taylor expansion of f in n 4.030 * [backup-simplify]: Simplify f into f 4.030 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.030 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.030 * [taylor]: Taking taylor expansion of n in n 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (/ 1 1) into 1 4.031 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.031 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.031 * [taylor]: Taking taylor expansion of f in n 4.031 * [backup-simplify]: Simplify f into f 4.031 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.031 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.031 * [taylor]: Taking taylor expansion of n in n 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (/ 1 1) into 1 4.031 * [backup-simplify]: Simplify (+ 0 1) into 1 4.032 * [backup-simplify]: Simplify (- 1) into -1 4.032 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.032 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.032 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.032 * [taylor]: Taking taylor expansion of -1 in f 4.032 * [backup-simplify]: Simplify -1 into -1 4.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.032 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.032 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.032 * [taylor]: Taking taylor expansion of f in f 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.033 * [taylor]: Taking taylor expansion of n in f 4.033 * [backup-simplify]: Simplify n into n 4.033 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.033 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.033 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.033 * [taylor]: Taking taylor expansion of f in f 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.033 * [taylor]: Taking taylor expansion of n in f 4.033 * [backup-simplify]: Simplify n into n 4.033 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.034 * [backup-simplify]: Simplify (+ 1 0) into 1 4.034 * [backup-simplify]: Simplify (+ 1 0) into 1 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.034 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.034 * [taylor]: Taking taylor expansion of -1 in f 4.034 * [backup-simplify]: Simplify -1 into -1 4.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.034 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.035 * [taylor]: Taking taylor expansion of f in f 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.035 * [taylor]: Taking taylor expansion of n in f 4.035 * [backup-simplify]: Simplify n into n 4.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.035 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.035 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.035 * [taylor]: Taking taylor expansion of f in f 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.036 * [taylor]: Taking taylor expansion of n in f 4.036 * [backup-simplify]: Simplify n into n 4.036 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.036 * [backup-simplify]: Simplify (+ 1 0) into 1 4.037 * [backup-simplify]: Simplify (+ 1 0) into 1 4.037 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [backup-simplify]: Simplify (* -1 1) into -1 4.038 * [taylor]: Taking taylor expansion of -1 in n 4.038 * [backup-simplify]: Simplify -1 into -1 4.038 * [backup-simplify]: Simplify -1 into -1 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.039 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.040 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.040 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.040 * [taylor]: Taking taylor expansion of 2 in n 4.040 * [backup-simplify]: Simplify 2 into 2 4.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.040 * [taylor]: Taking taylor expansion of n in n 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.041 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.043 * [backup-simplify]: Simplify (- 0) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.046 * [backup-simplify]: Simplify (+ 0 0) into 0 4.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.048 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.048 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.048 * [taylor]: Taking taylor expansion of 2 in n 4.048 * [backup-simplify]: Simplify 2 into 2 4.048 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.048 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.048 * [taylor]: Taking taylor expansion of n in n 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (* 1 1) into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.053 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.055 * [backup-simplify]: Simplify (- 0) into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.059 * [backup-simplify]: Simplify (- 0) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [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))) 4.061 * [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)))) 4.062 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.062 * [taylor]: Taking taylor expansion of 2 in n 4.062 * [backup-simplify]: Simplify 2 into 2 4.062 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.062 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.062 * [taylor]: Taking taylor expansion of n in n 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.065 * [backup-simplify]: Simplify (* 1 1) into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify -1 into -1 4.072 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.072 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.072 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.072 * [taylor]: Taking taylor expansion of f in n 4.072 * [backup-simplify]: Simplify f into f 4.072 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.072 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.072 * [taylor]: Taking taylor expansion of n in n 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ 1 1) into 1 4.073 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.073 * [taylor]: Taking taylor expansion of n in n 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ 1 1) into 1 4.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.073 * [taylor]: Taking taylor expansion of f in n 4.073 * [backup-simplify]: Simplify f into f 4.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.073 * [backup-simplify]: Simplify (+ 0 1) into 1 4.074 * [backup-simplify]: Simplify (+ 1 0) into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.074 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.074 * [taylor]: Taking taylor expansion of f in f 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.074 * [taylor]: Taking taylor expansion of n in f 4.074 * [backup-simplify]: Simplify n into n 4.074 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.074 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.074 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.074 * [taylor]: Taking taylor expansion of n in f 4.074 * [backup-simplify]: Simplify n into n 4.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.075 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.075 * [taylor]: Taking taylor expansion of f in f 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [backup-simplify]: Simplify (+ 1 0) into 1 4.075 * [backup-simplify]: Simplify (- 1) into -1 4.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.076 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.076 * [taylor]: Taking taylor expansion of f in f 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (/ 1 1) into 1 4.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.076 * [taylor]: Taking taylor expansion of n in f 4.076 * [backup-simplify]: Simplify n into n 4.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.076 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.076 * [taylor]: Taking taylor expansion of n in f 4.076 * [backup-simplify]: Simplify n into n 4.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.077 * [taylor]: Taking taylor expansion of f in f 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [backup-simplify]: Simplify (+ 1 0) into 1 4.077 * [backup-simplify]: Simplify (- 1) into -1 4.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.078 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.078 * [taylor]: Taking taylor expansion of -1 in n 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.079 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.079 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.079 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.079 * [taylor]: Taking taylor expansion of 2 in n 4.079 * [backup-simplify]: Simplify 2 into 2 4.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.079 * [taylor]: Taking taylor expansion of n in n 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (/ 1 1) into 1 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.083 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.083 * [taylor]: Taking taylor expansion of 2 in n 4.083 * [backup-simplify]: Simplify 2 into 2 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.084 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.084 * [taylor]: Taking taylor expansion of n in n 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.087 * [backup-simplify]: Simplify (- 0) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.088 * [backup-simplify]: Simplify (- 0) into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (- 0) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [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)))) 4.091 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.091 * [taylor]: Taking taylor expansion of 2 in n 4.091 * [backup-simplify]: Simplify 2 into 2 4.091 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.091 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.091 * [taylor]: Taking taylor expansion of n in n 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- 0) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify -1 into -1 4.098 * * * [progress]: simplifying candidates 4.098 * * * * [progress]: [ 1 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 2 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 3 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 4 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 5 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 6 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 7 / 180 ] simplifiying candidate # 4.098 * * * * [progress]: [ 8 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 9 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 10 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 11 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 12 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 13 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 14 / 180 ] simplifiying candidate # 4.099 * * * * [progress]: [ 15 / 180 ] simplifiying 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4.101 * * * * [progress]: [ 47 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 48 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 49 / 180 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))> 4.101 * * * * [progress]: [ 50 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 51 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 52 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 53 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 54 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 55 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 56 / 180 ] simplifiying candidate # 4.101 * * * * [progress]: [ 57 / 180 ] simplifiying candidate # 4.102 * * * * [progress]: [ 58 / 180 ] simplifiying candidate # 4.102 * * * * [progress]: [ 59 / 180 ] simplifiying candidate # 4.102 * * * * [progress]: [ 60 / 180 ] simplifiying candidate # 4.102 * * * * [progress]: [ 61 / 180 ] simplifiying 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4.104 * * * * [progress]: [ 93 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 94 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 95 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 96 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 97 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 98 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 99 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 100 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 101 / 180 ] simplifiying candidate # 4.104 * * * * [progress]: [ 102 / 180 ] simplifiying candidate # 4.105 * * * * [progress]: [ 103 / 180 ] simplifiying candidate # 4.105 * * * * [progress]: [ 104 / 180 ] simplifiying candidate # 4.105 * * * * [progress]: [ 105 / 180 ] simplifiying candidate # 4.105 * * * * [progress]: [ 106 / 180 ] simplifiying candidate # 4.105 * * * * [progress]: [ 107 / 180 ] simplifiying candidate # 4.105 * * * * [progress]: [ 108 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candidate # 4.106 * * * * [progress]: [ 124 / 180 ] simplifiying candidate # 4.106 * * * * [progress]: [ 125 / 180 ] simplifiying candidate # 4.106 * * * * [progress]: [ 126 / 180 ] simplifiying candidate # 4.106 * * * * [progress]: [ 127 / 180 ] simplifiying candidate # 4.106 * * * * [progress]: [ 128 / 180 ] simplifiying candidate # 4.106 * * * * [progress]: [ 129 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 130 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 131 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 132 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 133 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 134 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 135 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 136 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 137 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 138 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 139 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 140 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 141 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 142 / 180 ] simplifiying candidate # 4.107 * * * * [progress]: [ 143 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 144 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 145 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 146 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 147 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 148 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 149 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 150 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 151 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 152 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 153 / 180 ] simplifiying candidate # 4.108 * * * * [progress]: [ 154 / 180 ] 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4.109 * * * * [progress]: [ 170 / 180 ] simplifiying candidate # 4.109 * * * * [progress]: [ 171 / 180 ] simplifiying candidate # 4.109 * * * * [progress]: [ 172 / 180 ] simplifiying candidate # 4.109 * * * * [progress]: [ 173 / 180 ] simplifiying candidate # 4.109 * * * * [progress]: [ 174 / 180 ] simplifiying candidate #real (real->posit16 (/ -1 (/ (- f n) (+ f n))))))> 4.109 * * * * [progress]: [ 175 / 180 ] simplifiying candidate # 4.110 * * * * [progress]: [ 176 / 180 ] simplifiying candidate # 4.110 * * * * [progress]: [ 177 / 180 ] simplifiying candidate # 4.110 * * * * [progress]: [ 178 / 180 ] simplifiying candidate # 4.110 * * * * [progress]: [ 179 / 180 ] simplifiying candidate # 4.110 * * * * [progress]: [ 180 / 180 ] simplifiying candidate # 4.114 * [simplify]: Simplifying: (expm1 (/ (- f n) (+ f n))) (log1p (/ (- f n) (+ f n))) (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f 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n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (- f n) (cbrt (+ f n)))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ (- f n) (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 (/ 1 1)) (/ -1 (/ (- f n) (+ f n))) (/ 1 1) (/ -1 (/ (- f n) (+ f n))) (/ 1 (- f n)) (/ -1 (/ 1 (+ f n))) (/ 1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ 1 (/ (- f n) (- (* f f) (* n n)))) (/ -1 (- f n)) (/ 1 (/ (- f n) (+ f n))) (/ (/ (- f n) (+ f n)) -1) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ -1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ (sqrt (- f n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (- f n)) (/ -1 (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ -1 (/ (- f n) (- (* f f) (* n n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) -1) (/ -1 (- f n)) (real->posit16 (/ -1 (/ (- f n) (+ f n)))) -1 1 1 1 -1 -1 4.119 * * [simplify]: iteration 0: 225 enodes 4.210 * * [simplify]: iteration 1: 595 enodes 4.437 * * [simplify]: iteration 2: 1938 enodes 4.760 * * [simplify]: iteration 3: 2001 enodes 5.142 * * [simplify]: iteration complete: 2001 enodes 5.142 * * [simplify]: Extracting #0: cost 172 inf + 0 5.145 * * [simplify]: Extracting #1: cost 723 inf + 2 5.153 * * [simplify]: Extracting #2: cost 813 inf + 7607 5.168 * * [simplify]: Extracting #3: cost 454 inf + 77834 5.194 * * [simplify]: Extracting #4: cost 118 inf + 153287 5.242 * * [simplify]: Extracting #5: cost 10 inf + 176004 5.289 * * [simplify]: Extracting #6: cost 0 inf + 178284 5.322 * [simplify]: Simplified to: (expm1 (/ (- f n) (+ n f))) (log1p (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f))) (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (- (- f n)) (- (+ n f)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ n f))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (/ (sqrt (- f 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(* (cbrt -1) (+ n f)) (sqrt (- f n))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt -1) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (cbrt (+ n f))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (cbrt -1) (- f n))) (* (cbrt -1) (cbrt -1)) (* (+ n f) (/ (cbrt -1) (- f n))) (* (cbrt -1) (cbrt -1)) (* (+ n f) (/ (cbrt -1) (- f n))) (* (* (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (cbrt (+ n f))) (cbrt (+ n f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ n f)))) (/ (cbrt -1) (/ (+ (sqrt n) (sqrt f)) (* (cbrt -1) (sqrt (+ n f))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ n f)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ n f))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt n) (sqrt f))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ n f))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt -1) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (cbrt (+ n f))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (* (sqrt (+ n f)) (/ (cbrt -1) (- f n))) (* (cbrt 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(sqrt -1) (+ n f)) (cbrt (- f n))) (/ (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (* (sqrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (* (sqrt -1) (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (* (sqrt -1) (+ n f)) (sqrt (- f n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* (sqrt -1) (cbrt (+ n f))) (- f n)) (* (sqrt -1) (sqrt (+ n f))) (/ (* (sqrt -1) (sqrt (+ n f))) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (/ (sqrt -1) (/ (/ (+ (sqrt n) (sqrt f)) (cbrt (+ n f))) (cbrt (+ n f)))) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (cbrt (+ n f))) (/ (* (sqrt -1) (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (/ (sqrt -1) (+ (sqrt n) (sqrt f))) (/ (* (sqrt -1) (+ n f)) (- (sqrt f) (sqrt n))) (* (* (sqrt -1) (cbrt (+ n f))) (cbrt (+ n f))) (/ (* (sqrt -1) (cbrt (+ n f))) (- f n)) (* (sqrt -1) (sqrt (+ n f))) (/ (* (sqrt -1) (sqrt (+ n f))) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (sqrt -1) (/ (* (sqrt -1) (+ n f)) (- f n)) (/ (sqrt -1) (- f n)) (* (sqrt -1) (+ n f)) (/ (sqrt -1) (/ (- f n) (fma (* n n) n (* f (* f f))))) (/ (sqrt -1) (fma n (- n f) (* f f))) (/ (sqrt -1) (/ (/ (- f n) (+ n f)) (- f n))) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ -1 (cbrt (- f n))) (cbrt (+ n f))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (* (sqrt (+ n f)) (/ -1 (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* -1 (+ n f)) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (cbrt (+ n f)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (/ 1 (sqrt (- f n))) (/ -1 (/ (sqrt (- f n)) (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ -1 (/ (- f n) (+ n f))) 1 (/ -1 (/ (- f n) (+ n f))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ (* -1 (cbrt (+ n f))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (* -1 (+ n f)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt n) (sqrt f))) (/ (* -1 (+ n f)) (- (sqrt f) (sqrt n))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ (* -1 (cbrt (+ n f))) (- f n)) (sqrt (+ n f)) (/ (- (sqrt (+ n f))) (- f n)) 1 (/ -1 (/ (- f n) (+ n f))) 1 (/ -1 (/ (- f n) (+ n f))) 1 (/ -1 (/ (- f n) (+ n f))) (/ 1 (- f n)) (- (+ n f)) (/ 1 (/ (- f n) (fma (* n n) n (* f (* f f))))) (/ -1 (fma n (- n f) (* f f))) (/ 1 (/ (/ (- f n) (+ n f)) (- f n))) (/ -1 (- f n)) (/ (* 1 (+ n f)) (- f n)) (/ (- f n) (- (+ n f))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 (/ (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (/ -1 (+ (sqrt n) (sqrt f))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (* -1 (fma (* n n) n (* f (* f f)))) (- f n)) (* (* (/ -1 (- f n)) (+ n f)) (- f n)) (/ (/ (- f n) (cbrt -1)) (+ n f)) (/ (- f n) (* (sqrt -1) (+ n f))) (/ (- f n) (- (+ n f))) (/ -1 (- f n)) (real->posit16 (/ -1 (/ (- f n) (+ n f)))) -1 1 1 1 -1 -1 5.345 * * * [progress]: adding candidates to table 5.896 * * [progress]: iteration 4 / 4 5.897 * * * [progress]: picking best candidate 5.899 * * * * [pick]: Picked # 5.899 * * * [progress]: localizing error 5.912 * * * [progress]: generating rewritten candidates 5.912 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.927 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.983 * * * [progress]: generating series expansions 5.983 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.983 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 5.983 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 5.983 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 5.983 * [taylor]: Taking taylor expansion of -1 in n 5.983 * [backup-simplify]: Simplify -1 into -1 5.983 * [taylor]: Taking taylor expansion of (- f n) in n 5.983 * [taylor]: Taking taylor expansion of f in n 5.983 * [backup-simplify]: Simplify f into f 5.983 * [taylor]: Taking taylor expansion of n in n 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 1 into 1 5.984 * [backup-simplify]: Simplify (- 0) into 0 5.984 * [backup-simplify]: Simplify (+ f 0) into f 5.984 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 5.984 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 5.984 * [taylor]: Taking taylor expansion of -1 in f 5.984 * [backup-simplify]: Simplify -1 into -1 5.984 * [taylor]: Taking taylor expansion of (- f n) in f 5.984 * [taylor]: Taking taylor expansion of f in f 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify 1 into 1 5.984 * [taylor]: Taking taylor expansion of n in f 5.984 * [backup-simplify]: Simplify n into n 5.984 * [backup-simplify]: Simplify (- n) into (- n) 5.984 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.984 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 5.984 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 5.984 * [taylor]: Taking taylor expansion of -1 in f 5.984 * [backup-simplify]: Simplify -1 into -1 5.984 * [taylor]: Taking taylor expansion of (- f n) in f 5.984 * [taylor]: Taking taylor expansion of f in f 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify 1 into 1 5.984 * [taylor]: Taking taylor expansion of n in f 5.984 * [backup-simplify]: Simplify n into n 5.984 * [backup-simplify]: Simplify (- n) into (- n) 5.984 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.985 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 5.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.985 * [taylor]: Taking taylor expansion of n in n 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (/ 1 1) into 1 5.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (- 0) into 0 5.986 * [backup-simplify]: Simplify (+ 1 0) into 1 5.986 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 5.986 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.986 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.986 * [taylor]: Taking taylor expansion of n in n 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (* 1 1) into 1 5.987 * [backup-simplify]: Simplify (/ 1 1) into 1 5.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.990 * [backup-simplify]: Simplify (+ 0 0) into 0 5.990 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 5.990 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.990 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.990 * [taylor]: Taking taylor expansion of n in n 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (* 1 1) into 1 5.990 * [backup-simplify]: Simplify (* 1 1) into 1 5.991 * [backup-simplify]: Simplify (/ 1 1) into 1 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.996 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 5.997 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.997 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 5.997 * [taylor]: Taking taylor expansion of -1 in n 5.997 * [backup-simplify]: Simplify -1 into -1 5.997 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.997 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.997 * [taylor]: Taking taylor expansion of f in n 5.997 * [backup-simplify]: Simplify f into f 5.997 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.997 * [taylor]: Taking taylor expansion of n in n 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (/ 1 1) into 1 5.998 * [backup-simplify]: Simplify (- 1) into -1 5.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.998 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.998 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 5.998 * [taylor]: Taking taylor expansion of -1 in f 5.998 * [backup-simplify]: Simplify -1 into -1 5.998 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.998 * [taylor]: Taking taylor expansion of f in f 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.999 * [taylor]: Taking taylor expansion of n in f 5.999 * [backup-simplify]: Simplify n into n 5.999 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.999 * [backup-simplify]: Simplify (+ 1 0) into 1 5.999 * [backup-simplify]: Simplify (/ -1 1) into -1 5.999 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 5.999 * [taylor]: Taking taylor expansion of -1 in f 6.000 * [backup-simplify]: Simplify -1 into -1 6.000 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.000 * [taylor]: Taking taylor expansion of f in f 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (/ 1 1) into 1 6.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.000 * [taylor]: Taking taylor expansion of n in f 6.000 * [backup-simplify]: Simplify n into n 6.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.000 * [backup-simplify]: Simplify (+ 1 0) into 1 6.001 * [backup-simplify]: Simplify (/ -1 1) into -1 6.001 * [taylor]: Taking taylor expansion of -1 in n 6.001 * [backup-simplify]: Simplify -1 into -1 6.001 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.002 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.002 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 6.002 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 6.002 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.002 * [taylor]: Taking taylor expansion of n in n 6.002 * [backup-simplify]: Simplify 0 into 0 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [backup-simplify]: Simplify (/ 1 1) into 1 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.005 * [backup-simplify]: Simplify (- 0) into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.006 * [backup-simplify]: Simplify (- 0) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 6.008 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 6.008 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.008 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.008 * [taylor]: Taking taylor expansion of n in n 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (* 1 1) into 1 6.009 * [backup-simplify]: Simplify (/ 1 1) into 1 6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (- 0) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.019 * [backup-simplify]: Simplify (- 0) into 0 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 6.019 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.019 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 6.019 * [taylor]: Taking taylor expansion of -1 in n 6.019 * [backup-simplify]: Simplify -1 into -1 6.019 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.019 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.019 * [taylor]: Taking taylor expansion of n in n 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.020 * [backup-simplify]: Simplify (/ 1 1) into 1 6.020 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.020 * [taylor]: Taking taylor expansion of f in n 6.020 * [backup-simplify]: Simplify f into f 6.020 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.020 * [backup-simplify]: Simplify (/ -1 1) into -1 6.020 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 6.020 * [taylor]: Taking taylor expansion of -1 in f 6.020 * [backup-simplify]: Simplify -1 into -1 6.020 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.020 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.020 * [taylor]: Taking taylor expansion of n in f 6.020 * [backup-simplify]: Simplify n into n 6.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.020 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.020 * [taylor]: Taking taylor expansion of f in f 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [backup-simplify]: Simplify (/ 1 1) into 1 6.021 * [backup-simplify]: Simplify (- 1) into -1 6.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.022 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.022 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 6.022 * [taylor]: Taking taylor expansion of -1 in f 6.022 * [backup-simplify]: Simplify -1 into -1 6.022 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.022 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.022 * [taylor]: Taking taylor expansion of n in f 6.022 * [backup-simplify]: Simplify n into n 6.022 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.022 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.022 * [taylor]: Taking taylor expansion of f in f 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.022 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [backup-simplify]: Simplify (- 1) into -1 6.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.023 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.023 * [taylor]: Taking taylor expansion of 1 in n 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.024 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.024 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 6.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.024 * [taylor]: Taking taylor expansion of n in n 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [backup-simplify]: Simplify (/ 1 1) into 1 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.026 * [backup-simplify]: Simplify (- 0) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 6.027 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.027 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.027 * [taylor]: Taking taylor expansion of n in n 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.027 * [backup-simplify]: Simplify (* 1 1) into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.031 * [backup-simplify]: Simplify (/ (/ -1 (- f n)) (/ 1 (+ f n))) into (* -1 (/ (+ n f) (- f n))) 6.031 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.031 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.031 * [taylor]: Taking taylor expansion of -1 in n 6.031 * [backup-simplify]: Simplify -1 into -1 6.031 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.031 * [taylor]: Taking taylor expansion of (+ n f) in n 6.031 * [taylor]: Taking taylor expansion of n in n 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of f in n 6.032 * [backup-simplify]: Simplify f into f 6.032 * [taylor]: Taking taylor expansion of (- f n) in n 6.032 * [taylor]: Taking taylor expansion of f in n 6.032 * [backup-simplify]: Simplify f into f 6.032 * [taylor]: Taking taylor expansion of n in n 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (+ 0 f) into f 6.032 * [backup-simplify]: Simplify (- 0) into 0 6.032 * [backup-simplify]: Simplify (+ f 0) into f 6.032 * [backup-simplify]: Simplify (/ f f) into 1 6.032 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.032 * [taylor]: Taking taylor expansion of -1 in f 6.032 * [backup-simplify]: Simplify -1 into -1 6.032 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.032 * [taylor]: Taking taylor expansion of (+ n f) in f 6.032 * [taylor]: Taking taylor expansion of n in f 6.032 * [backup-simplify]: Simplify n into n 6.032 * [taylor]: Taking taylor expansion of f in f 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (- f n) in f 6.032 * [taylor]: Taking taylor expansion of f in f 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of n in f 6.032 * [backup-simplify]: Simplify n into n 6.032 * [backup-simplify]: Simplify (+ n 0) into n 6.032 * [backup-simplify]: Simplify (- n) into (- n) 6.032 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.032 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.032 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.032 * [taylor]: Taking taylor expansion of -1 in f 6.032 * [backup-simplify]: Simplify -1 into -1 6.032 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.032 * [taylor]: Taking taylor expansion of (+ n f) in f 6.032 * [taylor]: Taking taylor expansion of n in f 6.032 * [backup-simplify]: Simplify n into n 6.032 * [taylor]: Taking taylor expansion of f in f 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (- f n) in f 6.032 * [taylor]: Taking taylor expansion of f in f 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.033 * [taylor]: Taking taylor expansion of n in f 6.033 * [backup-simplify]: Simplify n into n 6.033 * [backup-simplify]: Simplify (+ n 0) into n 6.033 * [backup-simplify]: Simplify (- n) into (- n) 6.033 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.033 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.033 * [backup-simplify]: Simplify (* -1 -1) into 1 6.033 * [taylor]: Taking taylor expansion of 1 in n 6.033 * [backup-simplify]: Simplify 1 into 1 6.033 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (+ 0 1) into 1 6.034 * [backup-simplify]: Simplify (- 0) into 0 6.034 * [backup-simplify]: Simplify (+ 1 0) into 1 6.035 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.035 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.035 * [taylor]: Taking taylor expansion of 2 in n 6.035 * [backup-simplify]: Simplify 2 into 2 6.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.035 * [taylor]: Taking taylor expansion of n in n 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (/ 1 1) into 1 6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.039 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.040 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.040 * [taylor]: Taking taylor expansion of 2 in n 6.040 * [backup-simplify]: Simplify 2 into 2 6.040 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.040 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.040 * [taylor]: Taking taylor expansion of n in n 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.041 * [backup-simplify]: Simplify (/ 1 1) into 1 6.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.045 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.047 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (- 0) into 0 6.049 * [backup-simplify]: Simplify (+ 0 0) into 0 6.049 * [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)))) 6.050 * [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))) 6.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.050 * [taylor]: Taking taylor expansion of 2 in n 6.050 * [backup-simplify]: Simplify 2 into 2 6.050 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.050 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.051 * [taylor]: Taking taylor expansion of n in n 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (* 1 1) into 1 6.051 * [backup-simplify]: Simplify (* 1 1) into 1 6.052 * [backup-simplify]: Simplify (/ 1 1) into 1 6.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.061 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.062 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.062 * [taylor]: Taking taylor expansion of -1 in n 6.062 * [backup-simplify]: Simplify -1 into -1 6.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.062 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.062 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.062 * [taylor]: Taking taylor expansion of f in n 6.062 * [backup-simplify]: Simplify f into f 6.062 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.062 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.062 * [taylor]: Taking taylor expansion of n in n 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.063 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.063 * [taylor]: Taking taylor expansion of f in n 6.063 * [backup-simplify]: Simplify f into f 6.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.063 * [taylor]: Taking taylor expansion of n in n 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.064 * [backup-simplify]: Simplify (+ 0 1) into 1 6.064 * [backup-simplify]: Simplify (- 1) into -1 6.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.065 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.065 * [taylor]: Taking taylor expansion of -1 in f 6.065 * [backup-simplify]: Simplify -1 into -1 6.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.065 * [taylor]: Taking taylor expansion of f in f 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 1 into 1 6.065 * [backup-simplify]: Simplify (/ 1 1) into 1 6.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.065 * [taylor]: Taking taylor expansion of n in f 6.065 * [backup-simplify]: Simplify n into n 6.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.066 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.066 * [taylor]: Taking taylor expansion of f in f 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [backup-simplify]: Simplify (/ 1 1) into 1 6.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.066 * [taylor]: Taking taylor expansion of n in f 6.066 * [backup-simplify]: Simplify n into n 6.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.066 * [backup-simplify]: Simplify (+ 1 0) into 1 6.066 * [backup-simplify]: Simplify (+ 1 0) into 1 6.067 * [backup-simplify]: Simplify (/ 1 1) into 1 6.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.067 * [taylor]: Taking taylor expansion of -1 in f 6.067 * [backup-simplify]: Simplify -1 into -1 6.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.067 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.067 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.067 * [taylor]: Taking taylor expansion of f in f 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (/ 1 1) into 1 6.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.067 * [taylor]: Taking taylor expansion of n in f 6.067 * [backup-simplify]: Simplify n into n 6.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.067 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.067 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.067 * [taylor]: Taking taylor expansion of f in f 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (/ 1 1) into 1 6.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.068 * [taylor]: Taking taylor expansion of n in f 6.068 * [backup-simplify]: Simplify n into n 6.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.068 * [backup-simplify]: Simplify (+ 1 0) into 1 6.068 * [backup-simplify]: Simplify (+ 1 0) into 1 6.068 * [backup-simplify]: Simplify (/ 1 1) into 1 6.069 * [backup-simplify]: Simplify (* -1 1) into -1 6.069 * [taylor]: Taking taylor expansion of -1 in n 6.069 * [backup-simplify]: Simplify -1 into -1 6.069 * [backup-simplify]: Simplify -1 into -1 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.070 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.070 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.070 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.070 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.070 * [taylor]: Taking taylor expansion of 2 in n 6.070 * [backup-simplify]: Simplify 2 into 2 6.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.070 * [taylor]: Taking taylor expansion of n in n 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 1 into 1 6.071 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.072 * [backup-simplify]: Simplify (- 0) into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.074 * [backup-simplify]: Simplify (- 0) into 0 6.074 * [backup-simplify]: Simplify (+ 0 0) into 0 6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.075 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.075 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.075 * [taylor]: Taking taylor expansion of 2 in n 6.075 * [backup-simplify]: Simplify 2 into 2 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.075 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.075 * [taylor]: Taking taylor expansion of n in n 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.078 * [backup-simplify]: Simplify (- 0) into 0 6.078 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.080 * [backup-simplify]: Simplify (- 0) into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.082 * [backup-simplify]: Simplify (- 0) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [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))) 6.083 * [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)))) 6.083 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.083 * [taylor]: Taking taylor expansion of 2 in n 6.083 * [backup-simplify]: Simplify 2 into 2 6.083 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.083 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.083 * [taylor]: Taking taylor expansion of n in n 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.084 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.090 * [backup-simplify]: Simplify (- 0) into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify -1 into -1 6.090 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.090 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.090 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.090 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.090 * [taylor]: Taking taylor expansion of f in n 6.090 * [backup-simplify]: Simplify f into f 6.090 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.090 * [taylor]: Taking taylor expansion of n in n 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify (/ 1 1) into 1 6.090 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.090 * [taylor]: Taking taylor expansion of n in n 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.091 * [backup-simplify]: Simplify (/ 1 1) into 1 6.091 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.091 * [taylor]: Taking taylor expansion of f in n 6.091 * [backup-simplify]: Simplify f into f 6.091 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.091 * [backup-simplify]: Simplify (+ 0 1) into 1 6.091 * [backup-simplify]: Simplify (+ 1 0) into 1 6.091 * [backup-simplify]: Simplify (/ 1 1) into 1 6.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.091 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.092 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.092 * [taylor]: Taking taylor expansion of f in f 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.092 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.092 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.092 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.092 * [taylor]: Taking taylor expansion of n in f 6.092 * [backup-simplify]: Simplify n into n 6.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.092 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.092 * [taylor]: Taking taylor expansion of f in f 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [backup-simplify]: Simplify (+ 1 0) into 1 6.093 * [backup-simplify]: Simplify (- 1) into -1 6.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.094 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.094 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.094 * [taylor]: Taking taylor expansion of f in f 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.094 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.094 * [taylor]: Taking taylor expansion of n in f 6.094 * [backup-simplify]: Simplify n into n 6.094 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.094 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.094 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.094 * [taylor]: Taking taylor expansion of n in f 6.094 * [backup-simplify]: Simplify n into n 6.094 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.094 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.094 * [taylor]: Taking taylor expansion of f in f 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [backup-simplify]: Simplify (- 1) into -1 6.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.096 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.097 * [taylor]: Taking taylor expansion of -1 in n 6.097 * [backup-simplify]: Simplify -1 into -1 6.097 * [backup-simplify]: Simplify -1 into -1 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (- 0) into 0 6.099 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.099 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.099 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.099 * [taylor]: Taking taylor expansion of 2 in n 6.099 * [backup-simplify]: Simplify 2 into 2 6.099 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.099 * [taylor]: Taking taylor expansion of n in n 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.099 * [backup-simplify]: Simplify (/ 1 1) into 1 6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.101 * [backup-simplify]: Simplify (- 0) into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.104 * [backup-simplify]: Simplify (- 0) into 0 6.104 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.106 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.106 * [taylor]: Taking taylor expansion of 2 in n 6.106 * [backup-simplify]: Simplify 2 into 2 6.106 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.106 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.106 * [taylor]: Taking taylor expansion of n in n 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.107 * [backup-simplify]: Simplify (/ 1 1) into 1 6.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.111 * [backup-simplify]: Simplify (- 0) into 0 6.111 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.113 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.114 * [backup-simplify]: Simplify (- 0) into 0 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (- 0) into 0 6.117 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [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)))) 6.119 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.119 * [taylor]: Taking taylor expansion of 2 in n 6.119 * [backup-simplify]: Simplify 2 into 2 6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.119 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.119 * [taylor]: Taking taylor expansion of n in n 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (* 1 1) into 1 6.120 * [backup-simplify]: Simplify (* 1 1) into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (- 0) into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify -1 into -1 6.129 * * * [progress]: simplifying candidates 6.129 * * * * [progress]: [ 1 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 2 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 3 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 4 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 5 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 6 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 7 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 8 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 9 / 490 ] simplifiying candidate # 6.130 * * * * [progress]: [ 10 / 490 ] simplifiying candidate # 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[progress]: [ 88 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 89 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 90 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 91 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 92 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 93 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 94 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 95 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 96 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 97 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 98 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 99 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 100 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 101 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 102 / 490 ] simplifiying candidate # 6.136 * * * * [progress]: [ 103 / 490 ] 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* * [progress]: [ 486 / 490 ] simplifiying candidate # 6.169 * * * * [progress]: [ 487 / 490 ] simplifiying candidate # 6.169 * * * * [progress]: [ 488 / 490 ] simplifiying candidate # 6.169 * * * * [progress]: [ 489 / 490 ] simplifiying candidate # 6.169 * * * * [progress]: [ 490 / 490 ] simplifiying candidate # 6.182 * [simplify]: Simplifying: (expm1 (/ -1 (- f n))) (log1p (/ -1 (- 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 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f n))) (/ (/ 1 (+ f n)) (/ (sqrt -1) (cbrt (- f n)))) (/ 1 (* (/ (sqrt -1) (sqrt (- f n))) (+ f n))) (/ 1 (* (/ (sqrt -1) (- f n)) (+ f n))) (* (/ (/ 1 (+ f n)) (sqrt -1)) (- (sqrt f) (sqrt n))) (/ 1 (* (/ (sqrt -1) (- f n)) (+ f n))) (/ (/ 1 (+ f n)) (/ -1 (cbrt (- f n)))) (/ (/ 1 (+ f n)) (/ -1 (sqrt (- f n)))) (* (/ (/ 1 (+ f n)) -1) (- f n)) (/ (/ 1 (+ f n)) (/ -1 (- (sqrt f) (sqrt n)))) (* (/ (/ 1 (+ f n)) -1) (- f n)) (* (/ (/ 1 (+ f n)) -1) (- f n)) (/ (/ 1 (+ f n)) (/ 1 (- f n))) (/ 1 (* (fma f f (* n (+ n f))) (+ f n))) (/ (/ 1 (+ f n)) (+ f n)) (/ -1 (- f n)) (/ (* 1 (- f n)) (+ f n)) (real->posit16 (* (/ (/ -1 (- f n)) 1) (+ f n))) 0 0 0 1 -1 -1 7.209 * * * [progress]: adding candidates to table 8.959 * [progress]: [Phase 3 of 3] Extracting. 8.960 * * [regime]: Finding splitpoints for: (# # #) 8.961 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 8.961 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 8.989 * * * * [regimes]: Trying to branch on n from (# # #) 9.032 * * * * [regimes]: Trying to branch on f from (# # #) 9.081 * * * [regime]: Found split indices: #