0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.099 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.100 * [simplify]: Simplifying (/ (- (+ f n)) (- f n)) 0.101 * * [simplify]: iteration 1: (6 enodes) 0.106 * * [simplify]: iteration 2: (25 enodes) 0.110 * * [simplify]: iteration 3: (34 enodes) 0.116 * * [simplify]: iteration 4: (37 enodes) 0.121 * * [simplify]: iteration 5: (45 enodes) 0.127 * * [simplify]: iteration 6: (53 enodes) 0.135 * * [simplify]: iteration 7: (58 enodes) 0.143 * * [simplify]: Extracting #0: cost 1 inf + 0 0.144 * * [simplify]: Extracting #1: cost 10 inf + 0 0.144 * * [simplify]: Extracting #2: cost 23 inf + 0 0.144 * * [simplify]: Extracting #3: cost 23 inf + 43 0.144 * * [simplify]: Extracting #4: cost 10 inf + 1026 0.145 * * [simplify]: Extracting #5: cost 3 inf + 1840 0.145 * * [simplify]: Extracting #6: cost 0 inf + 2206 0.146 * [simplify]: Simplified to (/ (- (+ n f)) (- f n)) 0.150 * * [progress]: iteration 1 / 4 0.150 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.176 * * * [progress]: generating rewritten candidates 0.176 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.246 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.246 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.248 * [taylor]: Taking taylor expansion of -1 in n 0.248 * [backup-simplify]: Simplify -1 into -1 0.248 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.248 * [taylor]: Taking taylor expansion of (+ n f) in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of f in n 0.248 * [backup-simplify]: Simplify f into f 0.249 * [taylor]: Taking taylor expansion of (- f n) in n 0.249 * [taylor]: Taking taylor expansion of f in n 0.249 * [backup-simplify]: Simplify f into f 0.249 * [taylor]: Taking taylor expansion of n in n 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ 0 f) into f 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ f 0) into f 0.251 * [backup-simplify]: Simplify (/ f f) into 1 0.251 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.251 * [taylor]: Taking taylor expansion of -1 in f 0.251 * [backup-simplify]: Simplify -1 into -1 0.251 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.251 * [taylor]: Taking taylor expansion of (+ n f) in f 0.251 * [taylor]: Taking taylor expansion of n in f 0.251 * [backup-simplify]: Simplify n into n 0.251 * [taylor]: Taking taylor expansion of f in f 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (- f n) in f 0.251 * [taylor]: Taking taylor expansion of f in f 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of n in f 0.252 * [backup-simplify]: Simplify n into n 0.252 * [backup-simplify]: Simplify (+ n 0) into n 0.252 * [backup-simplify]: Simplify (- n) into (- n) 0.252 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.252 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.252 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.252 * [taylor]: Taking taylor expansion of -1 in f 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.252 * [taylor]: Taking taylor expansion of (+ n f) in f 0.252 * [taylor]: Taking taylor expansion of n in f 0.252 * [backup-simplify]: Simplify n into n 0.252 * [taylor]: Taking taylor expansion of f in f 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (- f n) in f 0.252 * [taylor]: Taking taylor expansion of f in f 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of n in f 0.253 * [backup-simplify]: Simplify n into n 0.253 * [backup-simplify]: Simplify (+ n 0) into n 0.253 * [backup-simplify]: Simplify (- n) into (- n) 0.253 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.253 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.255 * [backup-simplify]: Simplify (* -1 -1) into 1 0.255 * [taylor]: Taking taylor expansion of 1 in n 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.260 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.260 * [taylor]: Taking taylor expansion of 2 in n 0.260 * [backup-simplify]: Simplify 2 into 2 0.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.267 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.267 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.267 * [taylor]: Taking taylor expansion of 2 in n 0.267 * [backup-simplify]: Simplify 2 into 2 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.267 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [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)))) 0.310 * [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))) 0.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.311 * [taylor]: Taking taylor expansion of 2 in n 0.311 * [backup-simplify]: Simplify 2 into 2 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.327 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.327 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.327 * [taylor]: Taking taylor expansion of -1 in n 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.327 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.327 * [taylor]: Taking taylor expansion of f in n 0.327 * [backup-simplify]: Simplify f into f 0.327 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.328 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.328 * [taylor]: Taking taylor expansion of f in n 0.328 * [backup-simplify]: Simplify f into f 0.328 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.328 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.330 * [backup-simplify]: Simplify (+ 0 1) into 1 0.330 * [backup-simplify]: Simplify (- 1) into -1 0.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.331 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.331 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.331 * [taylor]: Taking taylor expansion of -1 in f 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.331 * [taylor]: Taking taylor expansion of f in f 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.332 * [taylor]: Taking taylor expansion of n in f 0.332 * [backup-simplify]: Simplify n into n 0.332 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.332 * [taylor]: Taking taylor expansion of f in f 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.333 * [taylor]: Taking taylor expansion of n in f 0.333 * [backup-simplify]: Simplify n into n 0.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.334 * [taylor]: Taking taylor expansion of -1 in f 0.334 * [backup-simplify]: Simplify -1 into -1 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.335 * [taylor]: Taking taylor expansion of n in f 0.335 * [backup-simplify]: Simplify n into n 0.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.335 * [taylor]: Taking taylor expansion of f in f 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.336 * [taylor]: Taking taylor expansion of n in f 0.336 * [backup-simplify]: Simplify n into n 0.336 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (* -1 1) into -1 0.368 * [taylor]: Taking taylor expansion of -1 in n 0.368 * [backup-simplify]: Simplify -1 into -1 0.368 * [backup-simplify]: Simplify -1 into -1 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.371 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.371 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.372 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.372 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.372 * [taylor]: Taking taylor expansion of 2 in n 0.373 * [backup-simplify]: Simplify 2 into 2 0.373 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.373 * [taylor]: Taking taylor expansion of n in n 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 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.385 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.385 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.385 * [taylor]: Taking taylor expansion of 2 in n 0.385 * [backup-simplify]: Simplify 2 into 2 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.385 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [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))) 0.412 * [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)))) 0.412 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.412 * [taylor]: Taking taylor expansion of 2 in n 0.412 * [backup-simplify]: Simplify 2 into 2 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.412 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify -1 into -1 0.425 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.426 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.426 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.426 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.426 * [taylor]: Taking taylor expansion of f in n 0.426 * [backup-simplify]: Simplify f into f 0.426 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.426 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.426 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.427 * [taylor]: Taking taylor expansion of f in n 0.427 * [backup-simplify]: Simplify f into f 0.427 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.429 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.429 * [taylor]: Taking taylor expansion of f in f 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.429 * [taylor]: Taking taylor expansion of n in f 0.429 * [backup-simplify]: Simplify n into n 0.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.429 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.429 * [taylor]: Taking taylor expansion of n in f 0.429 * [backup-simplify]: Simplify n into n 0.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.429 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.429 * [taylor]: Taking taylor expansion of f in f 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (- 1) into -1 0.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.432 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.432 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.432 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.432 * [taylor]: Taking taylor expansion of f in f 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.432 * [taylor]: Taking taylor expansion of n in f 0.432 * [backup-simplify]: Simplify n into n 0.432 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.432 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.432 * [taylor]: Taking taylor expansion of n in f 0.432 * [backup-simplify]: Simplify n into n 0.432 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.432 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.432 * [taylor]: Taking taylor expansion of f in f 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.434 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.434 * [taylor]: Taking taylor expansion of -1 in n 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [backup-simplify]: Simplify -1 into -1 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.438 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.438 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.438 * [taylor]: Taking taylor expansion of 2 in n 0.438 * [backup-simplify]: Simplify 2 into 2 0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.444 * [taylor]: Taking taylor expansion of 2 in n 0.444 * [backup-simplify]: Simplify 2 into 2 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.444 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.453 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.453 * [taylor]: Taking taylor expansion of 2 in n 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.453 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * * * [progress]: simplifying candidates 0.460 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 0.461 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 0.462 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 0.463 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 0.464 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.465 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 0.465 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 0.466 * [simplify]: Simplifying (- (log (- (+ f n))) (log (- f n))), (log (/ (- (+ f n)) (- f n))), (exp (/ (- (+ f n)) (- f n))), (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))), (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))), (cbrt (/ (- (+ f n)) (- f n))), (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))), (sqrt (/ (- (+ f n)) (- f n))), (sqrt (/ (- (+ f n)) (- f n))), (- (- (+ f n))), (- (- f n)), (/ 0 (- f n)), (/ (+ f n) (- f n)), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (cbrt (- (+ f n))) (cbrt (- f n))), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))), (/ (cbrt (- (+ f n))) (sqrt (- f n))), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1), (/ (cbrt (- (+ f n))) (- f n)), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))), (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))), (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1), (/ (cbrt (- (+ f n))) (- f n)), (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (sqrt (- (+ f n))) (cbrt (- f n))), (/ (sqrt (- (+ f n))) (sqrt (- f n))), (/ (sqrt (- (+ f n))) (sqrt (- f n))), (/ (sqrt (- (+ f n))) 1), (/ (sqrt (- (+ f n))) (- f n)), (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))), (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))), (/ (sqrt (- (+ f n))) 1), (/ (sqrt (- (+ f n))) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (+ f n)) (sqrt (- f n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) (- (sqrt f) (sqrt n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (+ f n) (cbrt (- f n))), (/ -1 (sqrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ -1 1), (/ (+ f n) (- f n)), (/ -1 (+ (sqrt f) (sqrt n))), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ -1 1), (/ (+ f n) (- f n)), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (cbrt (+ f n)) (cbrt (- f n))), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))), (/ (cbrt (+ f n)) (sqrt (- f n))), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1), (/ (cbrt (+ f n)) (- f n)), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))), (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))), (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1), (/ (cbrt (+ f n)) (- f n)), (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (sqrt (+ f n)) (cbrt (- f n))), (/ (- (sqrt (+ f n))) (sqrt (- f n))), (/ (sqrt (+ f n)) (sqrt (- f n))), (/ (- (sqrt (+ f n))) 1), (/ (sqrt (+ f n)) (- f n)), (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))), (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))), (/ (- (sqrt (+ f n))) 1), (/ (sqrt (+ f n)) (- f n)), (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (+ f n) (cbrt (- f n))), (/ (- 1) (sqrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (- 1) (+ (sqrt f) (sqrt n))), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (+ f n) (cbrt (- f n))), (/ (- 1) (sqrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (- 1) (+ (sqrt f) (sqrt n))), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ (- 1) 1), (/ (+ f n) (- f n)), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (cbrt (+ f n))) (cbrt (- f n))), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))), (/ (- (cbrt (+ f n))) (sqrt (- f n))), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1), (/ (- (cbrt (+ f n))) (- f n)), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))), (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))), (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1), (/ (- (cbrt (+ f n))) (- f n)), (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (sqrt (+ f n))) (cbrt (- f n))), (/ (sqrt (+ f n)) (sqrt (- f n))), (/ (- (sqrt (+ f n))) (sqrt (- f n))), (/ (sqrt (+ f n)) 1), (/ (- (sqrt (+ f n))) (- f n)), (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))), (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))), (/ (sqrt (+ f n)) 1), (/ (- (sqrt (+ f n))) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (+ f n)) (sqrt (- f n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) (- (sqrt f) (sqrt n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (+ f n)) (sqrt (- f n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) (- (sqrt f) (sqrt n))), (/ 1 1), (/ (- (+ f n)) (- f n)), (/ 1 (- f n)), (/ (- f n) (- (+ f n))), (/ (+ f n) (- f n)), (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))), (/ (- (+ f n)) (sqrt (- f n))), (/ (- (+ f n)) 1), (/ (- (+ f n)) (+ (sqrt f) (sqrt n))), (/ (- (+ f n)) 1), (/ (- f n) (cbrt (- (+ f n)))), (/ (- f n) (sqrt (- (+ f n)))), (/ (- f n) (- (+ f n))), (/ (- f n) (+ f n)), (/ (- f n) (cbrt (+ f n))), (/ (- f n) (sqrt (+ f n))), (/ (- f n) (+ f n)), (/ (- f n) (+ f n)), (/ (- f n) (- (cbrt (+ f n)))), (/ (- f n) (- (sqrt (+ f n)))), (/ (- f n) (- (+ f n))), (/ (- f n) (- (+ f n))), (/ (- (+ f n)) (- (pow f 3) (pow n 3))), (/ (- (+ f n)) (- (* f f) (* n n))), (* (- f n) (+ (* f f) (- (* n n) (* f n)))), (* (- f n) (- f n)), (real->posit16 (/ (- (+ f n)) (- f n))), 1, -1, -1 0.468 * * [simplify]: iteration 1: (134 enodes) 0.525 * * [simplify]: iteration 2: (551 enodes) 0.734 * * [simplify]: iteration 3: (1057 enodes) 1.077 * * [simplify]: Extracting #0: cost 87 inf + 0 1.078 * * [simplify]: Extracting #1: cost 329 inf + 3 1.082 * * [simplify]: Extracting #2: cost 517 inf + 2435 1.098 * * [simplify]: Extracting #3: cost 363 inf + 46552 1.141 * * [simplify]: Extracting #4: cost 75 inf + 111550 1.167 * * [simplify]: Extracting #5: cost 10 inf + 127508 1.217 * * [simplify]: Extracting #6: cost 1 inf + 130138 1.268 * * [simplify]: Extracting #7: cost 0 inf + 130350 1.319 * [simplify]: Simplified to (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), (- n f), 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)))), (/ (- (- f) n) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (- f) n) (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))), (/ (+ 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)) (cbrt (+ n f))) (sqrt (- f n))), (/ (- (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)))), (/ (- (- f) n) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (- f) n) (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)))), (/ (- (- f) n) (cbrt (- f n))), (/ 1 (sqrt (- f n))), (/ (- (- f) n) (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 (- f n)), (/ (- f n) (- (- f) n)), (/ (+ n f) (- f n)), (- (/ (/ (+ n f) (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))), (+ (* (* n n) (- f n)) (* (* (- f n) (- f n)) f)), (* (- f n) (- f n)), (real->posit16 (- (/ (+ n f) (- f n)))), 1, -1, -1 1.331 * * * [progress]: adding candidates to table 2.132 * * [progress]: iteration 2 / 4 2.132 * * * [progress]: picking best candidate 2.149 * * * * [pick]: Picked # 2.149 * * * [progress]: localizing error 2.176 * * * [progress]: generating rewritten candidates 2.176 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.196 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.211 * * * [progress]: generating series expansions 2.211 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.212 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 2.212 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 2.212 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 2.212 * [taylor]: Taking taylor expansion of (- f n) in n 2.212 * [taylor]: Taking taylor expansion of f in n 2.212 * [backup-simplify]: Simplify f into f 2.212 * [taylor]: Taking taylor expansion of n in n 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of (+ n f) in n 2.212 * [taylor]: Taking taylor expansion of n in n 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of f in n 2.212 * [backup-simplify]: Simplify f into f 2.212 * [backup-simplify]: Simplify (- 0) into 0 2.212 * [backup-simplify]: Simplify (+ f 0) into f 2.213 * [backup-simplify]: Simplify (+ 0 f) into f 2.213 * [backup-simplify]: Simplify (/ f f) into 1 2.213 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.213 * [taylor]: Taking taylor expansion of (- f n) in f 2.213 * [taylor]: Taking taylor expansion of f in f 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of n in f 2.213 * [backup-simplify]: Simplify n into n 2.213 * [taylor]: Taking taylor expansion of (+ n f) in f 2.213 * [taylor]: Taking taylor expansion of n in f 2.213 * [backup-simplify]: Simplify n into n 2.213 * [taylor]: Taking taylor expansion of f in f 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (- n) into (- n) 2.213 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.213 * [backup-simplify]: Simplify (+ n 0) into n 2.213 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.213 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 2.213 * [taylor]: Taking taylor expansion of (- f n) in f 2.213 * [taylor]: Taking taylor expansion of f in f 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of n in f 2.213 * [backup-simplify]: Simplify n into n 2.213 * [taylor]: Taking taylor expansion of (+ n f) in f 2.213 * [taylor]: Taking taylor expansion of n in f 2.213 * [backup-simplify]: Simplify n into n 2.213 * [taylor]: Taking taylor expansion of f in f 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (- n) into (- n) 2.213 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.213 * [backup-simplify]: Simplify (+ n 0) into n 2.213 * [backup-simplify]: Simplify (/ (- n) n) into -1 2.213 * [taylor]: Taking taylor expansion of -1 in n 2.213 * [backup-simplify]: Simplify -1 into -1 2.213 * [backup-simplify]: Simplify -1 into -1 2.214 * [backup-simplify]: Simplify (- 0) into 0 2.214 * [backup-simplify]: Simplify (+ 1 0) into 1 2.214 * [backup-simplify]: Simplify (+ 0 1) into 1 2.214 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 2.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.214 * [taylor]: Taking taylor expansion of 2 in n 2.214 * [backup-simplify]: Simplify 2 into 2 2.214 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.214 * [taylor]: Taking taylor expansion of n in n 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (/ 1 1) into 1 2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (- 0) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 2.217 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.217 * [taylor]: Taking taylor expansion of 2 in n 2.217 * [backup-simplify]: Simplify 2 into 2 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.217 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.222 * [backup-simplify]: Simplify (- 0) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (- 0) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [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))) 2.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.226 * [taylor]: Taking taylor expansion of 2 in n 2.226 * [backup-simplify]: Simplify 2 into 2 2.226 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.226 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.226 * [taylor]: Taking taylor expansion of n in n 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.227 * [backup-simplify]: Simplify (* 1 1) into 1 2.227 * [backup-simplify]: Simplify (* 1 1) into 1 2.227 * [backup-simplify]: Simplify (/ 1 1) into 1 2.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify -1 into -1 2.237 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 2.237 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 2.237 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 2.237 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.237 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.237 * [taylor]: Taking taylor expansion of f in n 2.237 * [backup-simplify]: Simplify f into f 2.237 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.237 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.237 * [taylor]: Taking taylor expansion of n in n 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ 1 1) into 1 2.238 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.238 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.238 * [taylor]: Taking taylor expansion of f in n 2.238 * [backup-simplify]: Simplify f into f 2.238 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.238 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.238 * [taylor]: Taking taylor expansion of n in n 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ 1 1) into 1 2.239 * [backup-simplify]: Simplify (- 1) into -1 2.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.240 * [backup-simplify]: Simplify (+ 0 1) into 1 2.240 * [backup-simplify]: Simplify (/ -1 1) into -1 2.240 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.240 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.240 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.240 * [taylor]: Taking taylor expansion of f in f 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.241 * [taylor]: Taking taylor expansion of n in f 2.241 * [backup-simplify]: Simplify n into n 2.241 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.241 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.241 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.241 * [taylor]: Taking taylor expansion of f in f 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.242 * [backup-simplify]: Simplify (/ 1 1) into 1 2.242 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.242 * [taylor]: Taking taylor expansion of n in f 2.242 * [backup-simplify]: Simplify n into n 2.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.242 * [backup-simplify]: Simplify (+ 1 0) into 1 2.243 * [backup-simplify]: Simplify (+ 1 0) into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 2.243 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.243 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.243 * [taylor]: Taking taylor expansion of f in f 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (/ 1 1) into 1 2.244 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.244 * [taylor]: Taking taylor expansion of n in f 2.244 * [backup-simplify]: Simplify n into n 2.244 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.244 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.244 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.244 * [taylor]: Taking taylor expansion of f in f 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (/ 1 1) into 1 2.244 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.244 * [taylor]: Taking taylor expansion of n in f 2.244 * [backup-simplify]: Simplify n into n 2.244 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.245 * [backup-simplify]: Simplify (+ 1 0) into 1 2.245 * [backup-simplify]: Simplify (+ 1 0) into 1 2.246 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [taylor]: Taking taylor expansion of 1 in n 2.246 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.247 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.248 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 2.248 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.248 * [taylor]: Taking taylor expansion of 2 in n 2.248 * [backup-simplify]: Simplify 2 into 2 2.248 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.248 * [taylor]: Taking taylor expansion of n in n 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.251 * [backup-simplify]: Simplify (- 0) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 2.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.254 * [taylor]: Taking taylor expansion of 2 in n 2.254 * [backup-simplify]: Simplify 2 into 2 2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.254 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.254 * [taylor]: Taking taylor expansion of n in n 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (* 1 1) into 1 2.255 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.259 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [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)))) 2.262 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.262 * [taylor]: Taking taylor expansion of 2 in n 2.262 * [backup-simplify]: Simplify 2 into 2 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.262 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.262 * [taylor]: Taking taylor expansion of n in n 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (- 0) into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 2.273 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 2.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 2.273 * [taylor]: Taking taylor expansion of -1 in n 2.273 * [backup-simplify]: Simplify -1 into -1 2.273 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 2.273 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.274 * [taylor]: Taking taylor expansion of f in n 2.274 * [backup-simplify]: Simplify f into f 2.274 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.274 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.274 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.274 * [taylor]: Taking taylor expansion of f in n 2.274 * [backup-simplify]: Simplify f into f 2.274 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.275 * [backup-simplify]: Simplify (+ 1 0) into 1 2.275 * [backup-simplify]: Simplify (+ 0 1) into 1 2.275 * [backup-simplify]: Simplify (/ 1 1) into 1 2.275 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.275 * [taylor]: Taking taylor expansion of -1 in f 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.275 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.275 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.275 * [taylor]: Taking taylor expansion of n in f 2.275 * [backup-simplify]: Simplify n into n 2.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.275 * [taylor]: Taking taylor expansion of f in f 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.276 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.276 * [taylor]: Taking taylor expansion of f in f 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.276 * [taylor]: Taking taylor expansion of n in f 2.276 * [backup-simplify]: Simplify n into n 2.276 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.276 * [backup-simplify]: Simplify (- 1) into -1 2.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.277 * [backup-simplify]: Simplify (+ 1 0) into 1 2.277 * [backup-simplify]: Simplify (/ -1 1) into -1 2.277 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 2.277 * [taylor]: Taking taylor expansion of -1 in f 2.277 * [backup-simplify]: Simplify -1 into -1 2.277 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 2.277 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.277 * [taylor]: Taking taylor expansion of n in f 2.277 * [backup-simplify]: Simplify n into n 2.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.277 * [taylor]: Taking taylor expansion of f in f 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.278 * [taylor]: Taking taylor expansion of f in f 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.278 * [taylor]: Taking taylor expansion of n in f 2.278 * [backup-simplify]: Simplify n into n 2.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.278 * [backup-simplify]: Simplify (- 1) into -1 2.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.279 * [backup-simplify]: Simplify (+ 1 0) into 1 2.279 * [backup-simplify]: Simplify (/ -1 1) into -1 2.279 * [backup-simplify]: Simplify (* -1 -1) into 1 2.279 * [taylor]: Taking taylor expansion of 1 in n 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.281 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 2.282 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 2.282 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.282 * [taylor]: Taking taylor expansion of 2 in n 2.282 * [backup-simplify]: Simplify 2 into 2 2.282 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.282 * [taylor]: Taking taylor expansion of n in n 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.284 * [backup-simplify]: Simplify (- 0) into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (- 0) into 0 2.286 * [backup-simplify]: Simplify (+ 0 0) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.289 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.290 * [taylor]: Taking taylor expansion of 2 in n 2.290 * [backup-simplify]: Simplify 2 into 2 2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (* 1 1) into 1 2.290 * [backup-simplify]: Simplify (/ 1 1) into 1 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.297 * [backup-simplify]: Simplify (- 0) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (- 0) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [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))) 2.304 * [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)))) 2.304 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.304 * [taylor]: Taking taylor expansion of 2 in n 2.304 * [backup-simplify]: Simplify 2 into 2 2.304 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.304 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.304 * [taylor]: Taking taylor expansion of n in n 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (* 1 1) into 1 2.305 * [backup-simplify]: Simplify (* 1 1) into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (- 0) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.315 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 2.315 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 2.315 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 2.315 * [taylor]: Taking taylor expansion of -1 in n 2.316 * [backup-simplify]: Simplify -1 into -1 2.316 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.316 * [taylor]: Taking taylor expansion of (+ n f) in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [taylor]: Taking taylor expansion of f in n 2.316 * [backup-simplify]: Simplify f into f 2.316 * [taylor]: Taking taylor expansion of (- f n) in n 2.316 * [taylor]: Taking taylor expansion of f in n 2.316 * [backup-simplify]: Simplify f into f 2.316 * [taylor]: Taking taylor expansion of n in n 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (+ 0 f) into f 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ f 0) into f 2.317 * [backup-simplify]: Simplify (/ f f) into 1 2.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.317 * [taylor]: Taking taylor expansion of -1 in f 2.317 * [backup-simplify]: Simplify -1 into -1 2.317 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.317 * [taylor]: Taking taylor expansion of (+ n f) in f 2.317 * [taylor]: Taking taylor expansion of n in f 2.317 * [backup-simplify]: Simplify n into n 2.317 * [taylor]: Taking taylor expansion of f in f 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [taylor]: Taking taylor expansion of (- f n) in f 2.317 * [taylor]: Taking taylor expansion of f in f 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [taylor]: Taking taylor expansion of n in f 2.317 * [backup-simplify]: Simplify n into n 2.317 * [backup-simplify]: Simplify (+ n 0) into n 2.317 * [backup-simplify]: Simplify (- n) into (- n) 2.317 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.317 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 2.317 * [taylor]: Taking taylor expansion of -1 in f 2.317 * [backup-simplify]: Simplify -1 into -1 2.317 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.317 * [taylor]: Taking taylor expansion of (+ n f) in f 2.317 * [taylor]: Taking taylor expansion of n in f 2.317 * [backup-simplify]: Simplify n into n 2.317 * [taylor]: Taking taylor expansion of f in f 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of (- f n) in f 2.318 * [taylor]: Taking taylor expansion of f in f 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of n in f 2.318 * [backup-simplify]: Simplify n into n 2.318 * [backup-simplify]: Simplify (+ n 0) into n 2.318 * [backup-simplify]: Simplify (- n) into (- n) 2.318 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.318 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.318 * [backup-simplify]: Simplify (* -1 -1) into 1 2.319 * [taylor]: Taking taylor expansion of 1 in n 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (+ 0 1) into 1 2.319 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify (+ 1 0) into 1 2.320 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.321 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.321 * [taylor]: Taking taylor expansion of 2 in n 2.321 * [backup-simplify]: Simplify 2 into 2 2.321 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.321 * [taylor]: Taking taylor expansion of n in n 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify (- 0) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.325 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.325 * [taylor]: Taking taylor expansion of 2 in n 2.325 * [backup-simplify]: Simplify 2 into 2 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.325 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.325 * [taylor]: Taking taylor expansion of n in n 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* 1 1) into 1 2.325 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (- 0) into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [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)))) 2.334 * [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))) 2.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.334 * [taylor]: Taking taylor expansion of 2 in n 2.334 * [backup-simplify]: Simplify 2 into 2 2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.334 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.335 * [backup-simplify]: Simplify (* 1 1) into 1 2.335 * [backup-simplify]: Simplify (/ 1 1) into 1 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 2.345 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 2.345 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 2.345 * [taylor]: Taking taylor expansion of -1 in n 2.345 * [backup-simplify]: Simplify -1 into -1 2.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.345 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.345 * [taylor]: Taking taylor expansion of f in n 2.345 * [backup-simplify]: Simplify f into f 2.345 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (/ 1 1) into 1 2.346 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.346 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.346 * [taylor]: Taking taylor expansion of f in n 2.346 * [backup-simplify]: Simplify f into f 2.346 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.346 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.346 * [taylor]: Taking taylor expansion of n in n 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (+ 0 1) into 1 2.348 * [backup-simplify]: Simplify (- 1) into -1 2.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.348 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.348 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.348 * [taylor]: Taking taylor expansion of -1 in f 2.348 * [backup-simplify]: Simplify -1 into -1 2.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.348 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.348 * [taylor]: Taking taylor expansion of f in f 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.349 * [taylor]: Taking taylor expansion of n in f 2.349 * [backup-simplify]: Simplify n into n 2.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.349 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.349 * [taylor]: Taking taylor expansion of f in f 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.349 * [taylor]: Taking taylor expansion of n in f 2.349 * [backup-simplify]: Simplify n into n 2.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.349 * [backup-simplify]: Simplify (+ 1 0) into 1 2.350 * [backup-simplify]: Simplify (+ 1 0) into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 2.350 * [taylor]: Taking taylor expansion of -1 in f 2.350 * [backup-simplify]: Simplify -1 into -1 2.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.350 * [taylor]: Taking taylor expansion of f in f 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.350 * [taylor]: Taking taylor expansion of n in f 2.350 * [backup-simplify]: Simplify n into n 2.350 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.350 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.350 * [taylor]: Taking taylor expansion of f in f 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.351 * [taylor]: Taking taylor expansion of n in f 2.351 * [backup-simplify]: Simplify n into n 2.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.351 * [backup-simplify]: Simplify (+ 1 0) into 1 2.351 * [backup-simplify]: Simplify (+ 1 0) into 1 2.351 * [backup-simplify]: Simplify (/ 1 1) into 1 2.352 * [backup-simplify]: Simplify (* -1 1) into -1 2.352 * [taylor]: Taking taylor expansion of -1 in n 2.352 * [backup-simplify]: Simplify -1 into -1 2.352 * [backup-simplify]: Simplify -1 into -1 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.353 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.353 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.353 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 2.353 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.353 * [taylor]: Taking taylor expansion of 2 in n 2.353 * [backup-simplify]: Simplify 2 into 2 2.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.353 * [taylor]: Taking taylor expansion of n in n 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.354 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.355 * [backup-simplify]: Simplify (- 0) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.357 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.358 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.358 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.358 * [taylor]: Taking taylor expansion of 2 in n 2.358 * [backup-simplify]: Simplify 2 into 2 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.358 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.358 * [taylor]: Taking taylor expansion of n in n 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.365 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.366 * [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))) 2.367 * [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)))) 2.367 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.367 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.367 * [taylor]: Taking taylor expansion of 2 in n 2.367 * [backup-simplify]: Simplify 2 into 2 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.367 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.367 * [taylor]: Taking taylor expansion of n in n 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (* 1 1) into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify -1 into -1 2.377 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 2.377 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 2.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.377 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.378 * [taylor]: Taking taylor expansion of f in n 2.378 * [backup-simplify]: Simplify f into f 2.378 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (/ 1 1) into 1 2.379 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.379 * [taylor]: Taking taylor expansion of f in n 2.379 * [backup-simplify]: Simplify f into f 2.379 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.379 * [backup-simplify]: Simplify (+ 0 1) into 1 2.379 * [backup-simplify]: Simplify (+ 1 0) into 1 2.380 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.380 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.380 * [taylor]: Taking taylor expansion of f in f 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.380 * [taylor]: Taking taylor expansion of n in f 2.380 * [backup-simplify]: Simplify n into n 2.380 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.381 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.381 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.381 * [taylor]: Taking taylor expansion of n in f 2.381 * [backup-simplify]: Simplify n into n 2.381 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.381 * [taylor]: Taking taylor expansion of f in f 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (/ 1 1) into 1 2.381 * [backup-simplify]: Simplify (+ 1 0) into 1 2.382 * [backup-simplify]: Simplify (- 1) into -1 2.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.383 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.383 * [taylor]: Taking taylor expansion of f in f 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [backup-simplify]: Simplify (/ 1 1) into 1 2.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.383 * [taylor]: Taking taylor expansion of n in f 2.383 * [backup-simplify]: Simplify n into n 2.383 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.383 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.383 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.383 * [taylor]: Taking taylor expansion of n in f 2.383 * [backup-simplify]: Simplify n into n 2.383 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.383 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.383 * [taylor]: Taking taylor expansion of f in f 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (/ 1 1) into 1 2.384 * [backup-simplify]: Simplify (+ 1 0) into 1 2.385 * [backup-simplify]: Simplify (- 1) into -1 2.385 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.385 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.386 * [taylor]: Taking taylor expansion of -1 in n 2.386 * [backup-simplify]: Simplify -1 into -1 2.386 * [backup-simplify]: Simplify -1 into -1 2.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (- 0) into 0 2.388 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.388 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.388 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.388 * [taylor]: Taking taylor expansion of 2 in n 2.388 * [backup-simplify]: Simplify 2 into 2 2.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.389 * [taylor]: Taking taylor expansion of n in n 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (/ 1 1) into 1 2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.390 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.391 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify 0 into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.392 * [backup-simplify]: Simplify (+ 0 0) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify (+ 0 0) into 0 2.395 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.395 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.395 * [taylor]: Taking taylor expansion of 2 in n 2.395 * [backup-simplify]: Simplify 2 into 2 2.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.395 * [taylor]: Taking taylor expansion of n in n 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (* 1 1) into 1 2.401 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.405 * [backup-simplify]: Simplify (- 0) into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.408 * [backup-simplify]: Simplify (- 0) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.409 * [backup-simplify]: Simplify (+ 0 0) into 0 2.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (- 0) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.413 * [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)))) 2.413 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.413 * [taylor]: Taking taylor expansion of 2 in n 2.413 * [backup-simplify]: Simplify 2 into 2 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.413 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.413 * [taylor]: Taking taylor expansion of n in n 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.415 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (- 0) into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify -1 into -1 2.425 * * * [progress]: simplifying candidates 2.425 * * * * [progress]: [ 1 / 176 ] simplifiying candidate # 2.425 * * * * [progress]: [ 2 / 176 ] simplifiying candidate # 2.425 * * * * [progress]: [ 3 / 176 ] simplifiying candidate # 2.425 * * * * [progress]: [ 4 / 176 ] simplifiying candidate # 2.425 * * * * [progress]: [ 5 / 176 ] simplifiying candidate # 2.425 * * * * [progress]: [ 6 / 176 ] simplifiying candidate # 2.425 * * * * [progress]: [ 7 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 8 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 9 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 10 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 11 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 12 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 13 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 14 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 15 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 16 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 17 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 18 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 19 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 20 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 21 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 22 / 176 ] simplifiying candidate # 2.426 * * * * [progress]: [ 23 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 24 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 25 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 26 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 27 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 28 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 29 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 30 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 31 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 32 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 33 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 34 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 35 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 36 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 37 / 176 ] simplifiying candidate # 2.427 * * * * [progress]: [ 38 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 39 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 40 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 41 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 42 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 43 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 44 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 45 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 46 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 47 / 176 ] simplifiying candidate #real (real->posit16 (/ (- f n) (+ f n))))))> 2.428 * * * * [progress]: [ 48 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 49 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 50 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 51 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 52 / 176 ] simplifiying candidate # 2.428 * * * * [progress]: [ 53 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 54 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 55 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 56 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 57 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 58 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 59 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 60 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 61 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 62 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 63 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 64 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 65 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 66 / 176 ] simplifiying candidate # 2.429 * * * * [progress]: [ 67 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 68 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 69 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 70 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 71 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 72 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 73 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 74 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 75 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 76 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 77 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 78 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 79 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 80 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 81 / 176 ] simplifiying candidate # 2.430 * * * * [progress]: [ 82 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 83 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 84 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 85 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 86 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 87 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 88 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 89 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 90 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 91 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 92 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 93 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 94 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 95 / 176 ] simplifiying candidate # 2.431 * * * * [progress]: [ 96 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 97 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 98 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 99 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 100 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 101 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 102 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 103 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 104 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 105 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 106 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 107 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 108 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 109 / 176 ] simplifiying candidate # 2.432 * * * * [progress]: [ 110 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 111 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 112 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 113 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 114 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 115 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 116 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 117 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 118 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 119 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 120 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 121 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 122 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 123 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 124 / 176 ] simplifiying candidate # 2.433 * * * * [progress]: [ 125 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 126 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 127 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 128 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 129 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 130 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 131 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 132 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 133 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 134 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 135 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 136 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 137 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 138 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 139 / 176 ] simplifiying candidate # 2.434 * * * * [progress]: [ 140 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 141 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 142 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 143 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 144 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 145 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 146 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 147 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 148 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 149 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 150 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 151 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 152 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 153 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 154 / 176 ] simplifiying candidate # 2.435 * * * * [progress]: [ 155 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 156 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 157 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 158 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 159 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 160 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 161 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 162 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 163 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 164 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 165 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 166 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 167 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 168 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 169 / 176 ] simplifiying candidate # 2.436 * * * * [progress]: [ 170 / 176 ] simplifiying candidate #real (real->posit16 (/ -1 (/ (- f n) (+ f n))))))> 2.437 * * * * [progress]: [ 171 / 176 ] simplifiying candidate # 2.437 * * * * [progress]: [ 172 / 176 ] simplifiying candidate # 2.437 * * * * [progress]: [ 173 / 176 ] simplifiying candidate # 2.437 * * * * [progress]: [ 174 / 176 ] simplifiying candidate # 2.437 * * * * [progress]: [ 175 / 176 ] simplifiying candidate # 2.437 * * * * [progress]: [ 176 / 176 ] simplifiying candidate # 2.440 * [simplify]: Simplifying (- (log (- f n)) (log (+ f n))), (log (/ (- f n) (+ f n))), (exp (/ (- f n) (+ f n))), (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))), (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))), (cbrt (/ (- f n) (+ f n))), (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))), (sqrt (/ (- f n) (+ f n))), (sqrt (/ (- f n) (+ f n))), (- (- f n)), (- (+ f n)), (/ f (+ f n)), (/ n (+ f n)), (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (cbrt (- f n)) (cbrt (+ f n))), (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))), (/ (cbrt (- f n)) (sqrt (+ f n))), (/ (* (cbrt (- f n)) (cbrt (- f n))) 1), (/ (cbrt (- f n)) (+ f n)), (/ (* (cbrt (- f n)) (cbrt (- f n))) 1), (/ (cbrt (- f n)) (+ f n)), (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (sqrt (- f n)) (cbrt (+ f n))), (/ (sqrt (- f n)) (sqrt (+ f n))), (/ (sqrt (- f n)) (sqrt (+ f n))), (/ (sqrt (- f n)) 1), (/ (sqrt (- f n)) (+ f n)), (/ (sqrt (- f n)) 1), (/ (sqrt (- f n)) (+ f n)), (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- f n) (cbrt (+ f n))), (/ 1 (sqrt (+ f n))), (/ (- f n) (sqrt (+ f n))), (/ 1 1), (/ (- f n) (+ f n)), (/ 1 1), (/ (- f n) (+ f n)), (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))), (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))), (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))), (/ (+ (sqrt f) (sqrt n)) 1), (/ (- (sqrt f) (sqrt n)) (+ f n)), (/ (+ (sqrt f) (sqrt n)) 1), (/ (- (sqrt f) (sqrt n)) (+ f n)), (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- f n) (cbrt (+ f n))), (/ 1 (sqrt (+ f n))), (/ (- f n) (sqrt (+ f n))), (/ 1 1), (/ (- f n) (+ f n)), (/ 1 1), (/ (- f n) (+ f n)), (/ 1 (+ f n)), (/ (+ f n) (- f n)), (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))), (/ (- f n) (sqrt (+ f n))), (/ (- f n) 1), (/ (- f n) 1), (/ (+ f n) (cbrt (- f n))), (/ (+ f n) (sqrt (- f n))), (/ (+ f n) (- f n)), (/ (+ f n) (- (sqrt f) (sqrt n))), (/ (+ f n) (- f n)), (/ (- f n) (+ (pow f 3) (pow n 3))), (/ (- f n) (- (* f f) (* n n))), (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))), (* (+ f n) (+ f n)), (real->posit16 (/ (- f n) (+ f n))), (- (log -1) (- (log (- f n)) (log (+ f n)))), (- (log -1) (log (/ (- f n) (+ f n)))), (log (/ -1 (/ (- f n) (+ f n)))), (exp (/ -1 (/ (- f n) (+ f n)))), (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))), (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))), (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))), (cbrt (/ -1 (/ (- f n) (+ f n)))), (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))), (sqrt (/ -1 (/ (- f n) (+ f n)))), (sqrt (/ -1 (/ (- f n) (+ f n)))), (- -1), (- (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))), (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))), (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))), (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)), (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)), (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))), (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)), (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))), (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) 1), (/ (cbrt -1) (/ (- f n) (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (- f n)), (/ (cbrt -1) (/ 1 (+ f n))), (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))), (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))), (/ (cbrt -1) (- f n)), (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))), (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))), (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))), (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))), (/ (sqrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (sqrt -1) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)), (/ (sqrt -1) (/ (cbrt (- f n)) (+ f n))), (/ (sqrt -1) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))), (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (sqrt (- f n)) 1)), (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (sqrt -1) (/ (sqrt (- f n)) 1)), (/ (sqrt -1) (/ (sqrt (- f n)) (+ f n))), (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (- f n) (cbrt (+ f n)))), (/ (sqrt -1) (/ 1 (sqrt (+ f n)))), (/ (sqrt -1) (/ (- f n) (sqrt (+ f n)))), (/ (sqrt -1) (/ 1 1)), (/ (sqrt -1) (/ (- f n) (+ f n))), (/ (sqrt -1) (/ 1 1)), (/ (sqrt -1) (/ (- f n) (+ f n))), (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))), (/ (sqrt -1) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))), (/ (sqrt -1) (/ 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(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 2.446 * * [simplify]: iteration 1: (221 enodes) 2.557 * * [simplify]: iteration 2: (982 enodes) 3.393 * * [simplify]: Extracting #0: cost 171 inf + 0 3.396 * * [simplify]: Extracting #1: cost 811 inf + 43 3.403 * * [simplify]: Extracting #2: cost 999 inf + 1780 3.416 * * [simplify]: Extracting #3: cost 813 inf + 31894 3.455 * * [simplify]: Extracting #4: cost 252 inf + 159903 3.491 * * [simplify]: Extracting #5: cost 12 inf + 219577 3.550 * * [simplify]: Extracting #6: cost 2 inf + 221636 3.624 * * [simplify]: Extracting #7: cost 0 inf + 221980 3.669 * [simplify]: Simplified to (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)), (- (- f) n), (/ f (+ n f)), (/ n (+ n f)), (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))), (/ (cbrt (- f n)) (cbrt (+ n 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(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 f) (sqrt n))), (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))), (/ -1 (+ (sqrt f) (sqrt n))), (/ -1 (+ (sqrt f) (sqrt n))), (- (* (cbrt (+ n f)) (cbrt (+ n f)))), (- (sqrt (+ n f))), -1, -1, -1, (/ -1 (- f n)), (* (+ (* (* n n) n) (* (* f f) f)) (/ -1 (- f n))), (* (* (- f n) (+ n f)) (/ -1 (- f n))), (/ (/ (- f n) (+ n f)) (cbrt -1)), (/ (/ (- f n) (sqrt -1)) (+ n f)), (/ (- f n) (- (- f) n)), (/ -1 (- f n)), (real->posit16 (/ (- (- f) n) (- f n))), -1, 1, 1, 1, -1, -1 3.692 * * * [progress]: adding candidates to table 5.093 * * [progress]: iteration 3 / 4 5.093 * * * [progress]: picking best candidate 5.105 * * * * [pick]: Picked # 5.106 * * * [progress]: localizing error 5.137 * * * [progress]: generating rewritten candidates 5.137 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.282 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.294 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.305 * * * [progress]: generating series expansions 5.305 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.305 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 5.305 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 5.305 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 5.305 * [taylor]: Taking taylor expansion of -1 in n 5.305 * [backup-simplify]: Simplify -1 into -1 5.305 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.305 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.305 * [taylor]: Taking taylor expansion of f in n 5.305 * [backup-simplify]: Simplify f into f 5.305 * [taylor]: Taking taylor expansion of (+ n f) in n 5.305 * [taylor]: Taking taylor expansion of n in n 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of f in n 5.305 * [backup-simplify]: Simplify f into f 5.305 * [backup-simplify]: Simplify (+ 0 f) into f 5.305 * [backup-simplify]: Simplify (/ f f) into 1 5.305 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.305 * [taylor]: Taking taylor expansion of n in n 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of (+ n f) in n 5.305 * [taylor]: Taking taylor expansion of n in n 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of f in n 5.305 * [backup-simplify]: Simplify f into f 5.306 * [backup-simplify]: Simplify (+ 0 f) into f 5.306 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.306 * [backup-simplify]: Simplify (+ 1 0) into 1 5.306 * [backup-simplify]: Simplify (/ -1 1) into -1 5.306 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.306 * [taylor]: Taking taylor expansion of -1 in f 5.306 * [backup-simplify]: Simplify -1 into -1 5.306 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.306 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.307 * [taylor]: Taking taylor expansion of f in f 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [taylor]: Taking taylor expansion of (+ n f) in f 5.307 * [taylor]: Taking taylor expansion of n in f 5.307 * [backup-simplify]: Simplify n into n 5.307 * [taylor]: Taking taylor expansion of f in f 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (+ n 0) into n 5.307 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.307 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.307 * [taylor]: Taking taylor expansion of n in f 5.307 * [backup-simplify]: Simplify n into n 5.307 * [taylor]: Taking taylor expansion of (+ n f) in f 5.307 * [taylor]: Taking taylor expansion of n in f 5.307 * [backup-simplify]: Simplify n into n 5.307 * [taylor]: Taking taylor expansion of f in f 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (+ n 0) into n 5.307 * [backup-simplify]: Simplify (/ n n) into 1 5.307 * [backup-simplify]: Simplify (- 1) into -1 5.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.308 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.308 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.308 * [taylor]: Taking taylor expansion of -1 in f 5.308 * [backup-simplify]: Simplify -1 into -1 5.308 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.308 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.308 * [taylor]: Taking taylor expansion of f in f 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [taylor]: Taking taylor expansion of (+ n f) in f 5.308 * [taylor]: Taking taylor expansion of n in f 5.308 * [backup-simplify]: Simplify n into n 5.308 * [taylor]: Taking taylor expansion of f in f 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (+ n 0) into n 5.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.308 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.308 * [taylor]: Taking taylor expansion of n in f 5.308 * [backup-simplify]: Simplify n into n 5.308 * [taylor]: Taking taylor expansion of (+ n f) in f 5.308 * [taylor]: Taking taylor expansion of n in f 5.308 * [backup-simplify]: Simplify n into n 5.308 * [taylor]: Taking taylor expansion of f in f 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (+ n 0) into n 5.308 * [backup-simplify]: Simplify (/ n n) into 1 5.308 * [backup-simplify]: Simplify (- 1) into -1 5.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.309 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.309 * [taylor]: Taking taylor expansion of 1 in n 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (+ 0 1) into 1 5.309 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.309 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.309 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.310 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 5.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.310 * [taylor]: Taking taylor expansion of 2 in n 5.310 * [backup-simplify]: Simplify 2 into 2 5.310 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.310 * [taylor]: Taking taylor expansion of n in n 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.311 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify (+ 0 1) into 1 5.311 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.312 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.312 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.312 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.312 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 5.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.313 * [taylor]: Taking taylor expansion of 2 in n 5.313 * [backup-simplify]: Simplify 2 into 2 5.313 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.313 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.313 * [taylor]: Taking taylor expansion of n in n 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [backup-simplify]: Simplify (* 1 1) into 1 5.313 * [backup-simplify]: Simplify (/ 1 1) into 1 5.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.319 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.321 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.321 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.322 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 5.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.322 * [taylor]: Taking taylor expansion of 2 in n 5.322 * [backup-simplify]: Simplify 2 into 2 5.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.322 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.322 * [taylor]: Taking taylor expansion of n in n 5.322 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify 1 into 1 5.322 * [backup-simplify]: Simplify (* 1 1) into 1 5.322 * [backup-simplify]: Simplify (* 1 1) into 1 5.323 * [backup-simplify]: Simplify (/ 1 1) into 1 5.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.329 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.329 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.329 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.329 * [taylor]: Taking taylor expansion of -1 in n 5.329 * [backup-simplify]: Simplify -1 into -1 5.329 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.329 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.329 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.329 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.329 * [taylor]: Taking taylor expansion of f in n 5.329 * [backup-simplify]: Simplify f into f 5.329 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.329 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.329 * [taylor]: Taking taylor expansion of n in n 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify (/ 1 1) into 1 5.330 * [taylor]: Taking taylor expansion of f in n 5.330 * [backup-simplify]: Simplify f into f 5.330 * [backup-simplify]: Simplify (+ 0 1) into 1 5.330 * [backup-simplify]: Simplify (* 1 f) into f 5.330 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.330 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.330 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.330 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.331 * [taylor]: Taking taylor expansion of f in n 5.331 * [backup-simplify]: Simplify f into f 5.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.331 * [taylor]: Taking taylor expansion of n in n 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (/ 1 1) into 1 5.331 * [taylor]: Taking taylor expansion of n in n 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (+ 0 1) into 1 5.332 * [backup-simplify]: Simplify (* 1 0) into 0 5.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.333 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.334 * [backup-simplify]: Simplify (/ 1 1) into 1 5.334 * [backup-simplify]: Simplify (- 1) into -1 5.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.335 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.335 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.335 * [taylor]: Taking taylor expansion of -1 in f 5.335 * [backup-simplify]: Simplify -1 into -1 5.335 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.335 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.335 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.336 * [taylor]: Taking taylor expansion of f in f 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [backup-simplify]: Simplify (/ 1 1) into 1 5.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.336 * [taylor]: Taking taylor expansion of n in f 5.336 * [backup-simplify]: Simplify n into n 5.336 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.336 * [taylor]: Taking taylor expansion of f in f 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (+ 1 0) into 1 5.337 * [backup-simplify]: Simplify (* 1 0) into 0 5.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.339 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.339 * [backup-simplify]: Simplify (/ 1 1) into 1 5.339 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.339 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.339 * [taylor]: Taking taylor expansion of f in f 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.340 * [taylor]: Taking taylor expansion of n in f 5.340 * [backup-simplify]: Simplify n into n 5.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.340 * [taylor]: Taking taylor expansion of n in f 5.340 * [backup-simplify]: Simplify n into n 5.340 * [backup-simplify]: Simplify (+ 1 0) into 1 5.340 * [backup-simplify]: Simplify (* 1 n) into n 5.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.341 * [backup-simplify]: Simplify (+ 1 0) into 1 5.341 * [backup-simplify]: Simplify (/ -1 1) into -1 5.341 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.341 * [taylor]: Taking taylor expansion of -1 in f 5.341 * [backup-simplify]: Simplify -1 into -1 5.341 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.341 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.341 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.341 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.342 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.342 * [taylor]: Taking taylor expansion of f in f 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.342 * [taylor]: Taking taylor expansion of n in f 5.342 * [backup-simplify]: Simplify n into n 5.342 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.342 * [taylor]: Taking taylor expansion of f in f 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.343 * [backup-simplify]: Simplify (+ 1 0) into 1 5.343 * [backup-simplify]: Simplify (* 1 0) into 0 5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.345 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.345 * [backup-simplify]: Simplify (/ 1 1) into 1 5.345 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.345 * [taylor]: Taking taylor expansion of f in f 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (/ 1 1) into 1 5.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.346 * [taylor]: Taking taylor expansion of n in f 5.346 * [backup-simplify]: Simplify n into n 5.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.346 * [taylor]: Taking taylor expansion of n in f 5.346 * [backup-simplify]: Simplify n into n 5.346 * [backup-simplify]: Simplify (+ 1 0) into 1 5.346 * [backup-simplify]: Simplify (* 1 n) into n 5.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.347 * [backup-simplify]: Simplify (+ 1 0) into 1 5.347 * [backup-simplify]: Simplify (/ -1 1) into -1 5.347 * [taylor]: Taking taylor expansion of -1 in n 5.347 * [backup-simplify]: Simplify -1 into -1 5.347 * [backup-simplify]: Simplify -1 into -1 5.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.349 * [backup-simplify]: Simplify (+ 0 0) into 0 5.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.350 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.350 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.351 * [taylor]: Taking taylor expansion of 2 in n 5.351 * [backup-simplify]: Simplify 2 into 2 5.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.351 * [taylor]: Taking taylor expansion of n in n 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (/ 1 1) into 1 5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.353 * [backup-simplify]: Simplify (- 0) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.359 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.359 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.359 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.360 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.360 * [taylor]: Taking taylor expansion of 2 in n 5.360 * [backup-simplify]: Simplify 2 into 2 5.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.360 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.360 * [taylor]: Taking taylor expansion of n in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (* 1 1) into 1 5.361 * [backup-simplify]: Simplify (/ 1 1) into 1 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.366 * [backup-simplify]: Simplify (- 0) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.369 * [backup-simplify]: Simplify (- 0) into 0 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.376 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.376 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.377 * [taylor]: Taking taylor expansion of 2 in n 5.377 * [backup-simplify]: Simplify 2 into 2 5.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.377 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.377 * [taylor]: Taking taylor expansion of n in n 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (* 1 1) into 1 5.378 * [backup-simplify]: Simplify (* 1 1) into 1 5.378 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (- 0) into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify -1 into -1 5.389 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.389 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.389 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.389 * [taylor]: Taking taylor expansion of -1 in n 5.389 * [backup-simplify]: Simplify -1 into -1 5.389 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.389 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.389 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.389 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.389 * [taylor]: Taking taylor expansion of f in n 5.389 * [backup-simplify]: Simplify f into f 5.389 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.390 * [taylor]: Taking taylor expansion of n in n 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (/ 1 1) into 1 5.390 * [taylor]: Taking taylor expansion of f in n 5.390 * [backup-simplify]: Simplify f into f 5.391 * [backup-simplify]: Simplify (+ 0 1) into 1 5.391 * [backup-simplify]: Simplify (* 1 f) into f 5.391 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.391 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.391 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.391 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.391 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.391 * [taylor]: Taking taylor expansion of f in n 5.391 * [backup-simplify]: Simplify f into f 5.391 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.391 * [taylor]: Taking taylor expansion of n in n 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify (/ 1 1) into 1 5.391 * [taylor]: Taking taylor expansion of n in n 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.392 * [backup-simplify]: Simplify (+ 0 1) into 1 5.392 * [backup-simplify]: Simplify (* 1 0) into 0 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.394 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.394 * [backup-simplify]: Simplify (/ 1 1) into 1 5.395 * [backup-simplify]: Simplify (- 1) into -1 5.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.395 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.395 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.395 * [taylor]: Taking taylor expansion of -1 in f 5.395 * [backup-simplify]: Simplify -1 into -1 5.395 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.396 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.396 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.396 * [taylor]: Taking taylor expansion of f in f 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (/ 1 1) into 1 5.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.396 * [taylor]: Taking taylor expansion of n in f 5.396 * [backup-simplify]: Simplify n into n 5.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.396 * [taylor]: Taking taylor expansion of f in f 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (+ 1 0) into 1 5.397 * [backup-simplify]: Simplify (* 1 0) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.399 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.399 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.399 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.399 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.399 * [taylor]: Taking taylor expansion of f in f 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.400 * [taylor]: Taking taylor expansion of n in f 5.400 * [backup-simplify]: Simplify n into n 5.400 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.400 * [taylor]: Taking taylor expansion of n in f 5.400 * [backup-simplify]: Simplify n into n 5.400 * [backup-simplify]: Simplify (+ 1 0) into 1 5.400 * [backup-simplify]: Simplify (* 1 n) into n 5.400 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.401 * [backup-simplify]: Simplify (+ 1 0) into 1 5.401 * [backup-simplify]: Simplify (/ -1 1) into -1 5.401 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.401 * [taylor]: Taking taylor expansion of -1 in f 5.401 * [backup-simplify]: Simplify -1 into -1 5.401 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.401 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.401 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.402 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.402 * [taylor]: Taking taylor expansion of f in f 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [backup-simplify]: Simplify (/ 1 1) into 1 5.402 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.402 * [taylor]: Taking taylor expansion of n in f 5.402 * [backup-simplify]: Simplify n into n 5.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.402 * [taylor]: Taking taylor expansion of f in f 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (+ 1 0) into 1 5.403 * [backup-simplify]: Simplify (* 1 0) into 0 5.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.405 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.405 * [backup-simplify]: Simplify (/ 1 1) into 1 5.405 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.405 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.405 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.405 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.405 * [taylor]: Taking taylor expansion of f in f 5.405 * [backup-simplify]: Simplify 0 into 0 5.405 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (/ 1 1) into 1 5.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.406 * [taylor]: Taking taylor expansion of n in f 5.406 * [backup-simplify]: Simplify n into n 5.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.406 * [taylor]: Taking taylor expansion of n in f 5.406 * [backup-simplify]: Simplify n into n 5.406 * [backup-simplify]: Simplify (+ 1 0) into 1 5.406 * [backup-simplify]: Simplify (* 1 n) into n 5.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.407 * [backup-simplify]: Simplify (+ 1 0) into 1 5.407 * [backup-simplify]: Simplify (/ -1 1) into -1 5.407 * [taylor]: Taking taylor expansion of -1 in n 5.407 * [backup-simplify]: Simplify -1 into -1 5.407 * [backup-simplify]: Simplify -1 into -1 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.410 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.410 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.411 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.411 * [taylor]: Taking taylor expansion of 2 in n 5.411 * [backup-simplify]: Simplify 2 into 2 5.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.411 * [taylor]: Taking taylor expansion of n in n 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (/ 1 1) into 1 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.414 * [backup-simplify]: Simplify (- 0) into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.415 * [backup-simplify]: Simplify (+ 0 0) into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.419 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.420 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.420 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.420 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.420 * [taylor]: Taking taylor expansion of 2 in n 5.420 * [backup-simplify]: Simplify 2 into 2 5.420 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.420 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.420 * [taylor]: Taking taylor expansion of n in n 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (* 1 1) into 1 5.421 * [backup-simplify]: Simplify (/ 1 1) into 1 5.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.425 * [backup-simplify]: Simplify (- 0) into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.429 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.429 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.429 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.429 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.429 * [taylor]: Taking taylor expansion of 2 in n 5.429 * [backup-simplify]: Simplify 2 into 2 5.429 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.429 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.429 * [taylor]: Taking taylor expansion of n in n 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify (* 1 1) into 1 5.430 * [backup-simplify]: Simplify (* 1 1) into 1 5.430 * [backup-simplify]: Simplify (/ 1 1) into 1 5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify -1 into -1 5.436 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.436 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 5.436 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 5.436 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.436 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.436 * [taylor]: Taking taylor expansion of f in n 5.436 * [backup-simplify]: Simplify f into f 5.436 * [taylor]: Taking taylor expansion of (+ n f) in n 5.436 * [taylor]: Taking taylor expansion of n in n 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of f in n 5.436 * [backup-simplify]: Simplify f into f 5.436 * [backup-simplify]: Simplify (+ 0 f) into f 5.436 * [backup-simplify]: Simplify (/ f f) into 1 5.436 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.436 * [taylor]: Taking taylor expansion of n in n 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of (+ n f) in n 5.436 * [taylor]: Taking taylor expansion of n in n 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of f in n 5.436 * [backup-simplify]: Simplify f into f 5.436 * [backup-simplify]: Simplify (+ 0 f) into f 5.436 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.436 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.436 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.436 * [taylor]: Taking taylor expansion of f in f 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of (+ n f) in f 5.436 * [taylor]: Taking taylor expansion of n in f 5.436 * [backup-simplify]: Simplify n into n 5.436 * [taylor]: Taking taylor expansion of f in f 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (+ n 0) into n 5.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.437 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of (+ n f) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of f in f 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (+ n 0) into n 5.437 * [backup-simplify]: Simplify (/ n n) into 1 5.437 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.437 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.437 * [taylor]: Taking taylor expansion of f in f 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of (+ n f) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of f in f 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (+ n 0) into n 5.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.437 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of (+ n f) in f 5.437 * [taylor]: Taking taylor expansion of n in f 5.437 * [backup-simplify]: Simplify n into n 5.437 * [taylor]: Taking taylor expansion of f in f 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (+ n 0) into n 5.437 * [backup-simplify]: Simplify (/ n n) into 1 5.437 * [backup-simplify]: Simplify (- 1) into -1 5.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.438 * [taylor]: Taking taylor expansion of -1 in n 5.438 * [backup-simplify]: Simplify -1 into -1 5.438 * [backup-simplify]: Simplify -1 into -1 5.438 * [backup-simplify]: Simplify (+ 0 1) into 1 5.438 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.438 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.438 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.438 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.438 * [taylor]: Taking taylor expansion of 2 in n 5.438 * [backup-simplify]: Simplify 2 into 2 5.438 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.438 * [taylor]: Taking taylor expansion of n in n 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify (+ 0 1) into 1 5.440 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.440 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.440 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.440 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.440 * [taylor]: Taking taylor expansion of 2 in n 5.441 * [backup-simplify]: Simplify 2 into 2 5.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.441 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.441 * [taylor]: Taking taylor expansion of n in n 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (* 1 1) into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.445 * [backup-simplify]: Simplify (- 0) into 0 5.445 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify (+ 0 0) into 0 5.447 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.447 * [backup-simplify]: Simplify (+ 0 0) into 0 5.447 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.447 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.447 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.447 * [taylor]: Taking taylor expansion of 2 in n 5.448 * [backup-simplify]: Simplify 2 into 2 5.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.448 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.448 * [taylor]: Taking taylor expansion of n in n 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (* 1 1) into 1 5.448 * [backup-simplify]: Simplify (* 1 1) into 1 5.448 * [backup-simplify]: Simplify (/ 1 1) into 1 5.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify -1 into -1 5.456 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 5.456 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 5.456 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.456 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.456 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.456 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.456 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.456 * [taylor]: Taking taylor expansion of f in n 5.456 * [backup-simplify]: Simplify f into f 5.456 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.456 * [taylor]: Taking taylor expansion of n in n 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of f in n 5.457 * [backup-simplify]: Simplify f into f 5.457 * [backup-simplify]: Simplify (+ 0 1) into 1 5.457 * [backup-simplify]: Simplify (* 1 f) into f 5.457 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.457 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.457 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.457 * [taylor]: Taking taylor expansion of f in n 5.457 * [backup-simplify]: Simplify f into f 5.458 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.458 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.458 * [taylor]: Taking taylor expansion of n in n 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (/ 1 1) into 1 5.458 * [taylor]: Taking taylor expansion of n in n 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (+ 0 1) into 1 5.459 * [backup-simplify]: Simplify (* 1 0) into 0 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.460 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.461 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.461 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.461 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.461 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.461 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.461 * [taylor]: Taking taylor expansion of f in f 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (/ 1 1) into 1 5.462 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.462 * [taylor]: Taking taylor expansion of n in f 5.462 * [backup-simplify]: Simplify n into n 5.462 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.462 * [taylor]: Taking taylor expansion of f in f 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (+ 1 0) into 1 5.463 * [backup-simplify]: Simplify (* 1 0) into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.464 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.465 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.465 * [taylor]: Taking taylor expansion of f in f 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.465 * [taylor]: Taking taylor expansion of n in f 5.465 * [backup-simplify]: Simplify n into n 5.465 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.465 * [taylor]: Taking taylor expansion of n in f 5.465 * [backup-simplify]: Simplify n into n 5.466 * [backup-simplify]: Simplify (+ 1 0) into 1 5.466 * [backup-simplify]: Simplify (* 1 n) into n 5.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.466 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.466 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.466 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.466 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.466 * [taylor]: Taking taylor expansion of f in f 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.466 * [backup-simplify]: Simplify (/ 1 1) into 1 5.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.466 * [taylor]: Taking taylor expansion of n in f 5.466 * [backup-simplify]: Simplify n into n 5.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.466 * [taylor]: Taking taylor expansion of f in f 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (+ 1 0) into 1 5.467 * [backup-simplify]: Simplify (* 1 0) into 0 5.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.468 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.468 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.469 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.469 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.469 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.469 * [taylor]: Taking taylor expansion of f in f 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.469 * [taylor]: Taking taylor expansion of n in f 5.469 * [backup-simplify]: Simplify n into n 5.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.469 * [taylor]: Taking taylor expansion of n in f 5.469 * [backup-simplify]: Simplify n into n 5.470 * [backup-simplify]: Simplify (+ 1 0) into 1 5.470 * [backup-simplify]: Simplify (* 1 n) into n 5.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.470 * [backup-simplify]: Simplify (+ 1 0) into 1 5.470 * [taylor]: Taking taylor expansion of 1 in n 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.472 * [backup-simplify]: Simplify (+ 0 0) into 0 5.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.473 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.473 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.473 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.473 * [taylor]: Taking taylor expansion of 2 in n 5.473 * [backup-simplify]: Simplify 2 into 2 5.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.473 * [taylor]: Taking taylor expansion of n in n 5.473 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify 1 into 1 5.473 * [backup-simplify]: Simplify (/ 1 1) into 1 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.475 * [backup-simplify]: Simplify (- 0) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.479 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.480 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.480 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.480 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.480 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.480 * [taylor]: Taking taylor expansion of 2 in n 5.480 * [backup-simplify]: Simplify 2 into 2 5.480 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.480 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.480 * [taylor]: Taking taylor expansion of n in n 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (* 1 1) into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.487 * [backup-simplify]: Simplify (- 0) into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.489 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.494 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.495 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.495 * [taylor]: Taking taylor expansion of 2 in n 5.495 * [backup-simplify]: Simplify 2 into 2 5.495 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.495 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.495 * [taylor]: Taking taylor expansion of n in n 5.495 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [backup-simplify]: Simplify (* 1 1) into 1 5.496 * [backup-simplify]: Simplify (* 1 1) into 1 5.496 * [backup-simplify]: Simplify (/ 1 1) into 1 5.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 5.506 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 5.506 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.506 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.506 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.506 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.506 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.506 * [taylor]: Taking taylor expansion of f in n 5.507 * [backup-simplify]: Simplify f into f 5.507 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.507 * [taylor]: Taking taylor expansion of n in n 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.507 * [backup-simplify]: Simplify (/ 1 1) into 1 5.507 * [taylor]: Taking taylor expansion of f in n 5.507 * [backup-simplify]: Simplify f into f 5.508 * [backup-simplify]: Simplify (+ 0 1) into 1 5.508 * [backup-simplify]: Simplify (* 1 f) into f 5.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.508 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.508 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.508 * [taylor]: Taking taylor expansion of f in n 5.508 * [backup-simplify]: Simplify f into f 5.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.508 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.508 * [taylor]: Taking taylor expansion of n in n 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify 1 into 1 5.509 * [backup-simplify]: Simplify (/ 1 1) into 1 5.509 * [taylor]: Taking taylor expansion of n in n 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 1 into 1 5.509 * [backup-simplify]: Simplify (+ 0 1) into 1 5.510 * [backup-simplify]: Simplify (* 1 0) into 0 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.511 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.511 * [backup-simplify]: Simplify (/ 1 1) into 1 5.511 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.511 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.511 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.511 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.511 * [taylor]: Taking taylor expansion of f in f 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (/ 1 1) into 1 5.512 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.512 * [taylor]: Taking taylor expansion of n in f 5.512 * [backup-simplify]: Simplify n into n 5.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.512 * [taylor]: Taking taylor expansion of f in f 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (+ 1 0) into 1 5.513 * [backup-simplify]: Simplify (* 1 0) into 0 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.514 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.515 * [backup-simplify]: Simplify (/ 1 1) into 1 5.515 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.515 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.515 * [taylor]: Taking taylor expansion of f in f 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 1 into 1 5.515 * [backup-simplify]: Simplify (/ 1 1) into 1 5.515 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.515 * [taylor]: Taking taylor expansion of n in f 5.515 * [backup-simplify]: Simplify n into n 5.515 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.515 * [taylor]: Taking taylor expansion of n in f 5.515 * [backup-simplify]: Simplify n into n 5.516 * [backup-simplify]: Simplify (+ 1 0) into 1 5.516 * [backup-simplify]: Simplify (* 1 n) into n 5.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.516 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.516 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.516 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.516 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.516 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.516 * [taylor]: Taking taylor expansion of f in f 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (/ 1 1) into 1 5.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.517 * [taylor]: Taking taylor expansion of n in f 5.517 * [backup-simplify]: Simplify n into n 5.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.517 * [taylor]: Taking taylor expansion of f in f 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (+ 1 0) into 1 5.518 * [backup-simplify]: Simplify (* 1 0) into 0 5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.519 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.519 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.519 * [backup-simplify]: Simplify (/ 1 1) into 1 5.519 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.519 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.519 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.519 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.519 * [taylor]: Taking taylor expansion of f in f 5.519 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (/ 1 1) into 1 5.520 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.520 * [taylor]: Taking taylor expansion of n in f 5.520 * [backup-simplify]: Simplify n into n 5.520 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.520 * [taylor]: Taking taylor expansion of n in f 5.520 * [backup-simplify]: Simplify n into n 5.521 * [backup-simplify]: Simplify (+ 1 0) into 1 5.521 * [backup-simplify]: Simplify (* 1 n) into n 5.521 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.521 * [backup-simplify]: Simplify (+ 1 0) into 1 5.521 * [taylor]: Taking taylor expansion of 1 in n 5.521 * [backup-simplify]: Simplify 1 into 1 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.523 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.524 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.524 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.524 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.524 * [taylor]: Taking taylor expansion of 2 in n 5.524 * [backup-simplify]: Simplify 2 into 2 5.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.524 * [taylor]: Taking taylor expansion of n in n 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify 1 into 1 5.525 * [backup-simplify]: Simplify (/ 1 1) into 1 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.527 * [backup-simplify]: Simplify (- 0) into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.531 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.531 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.532 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.532 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.532 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.532 * [taylor]: Taking taylor expansion of 2 in n 5.532 * [backup-simplify]: Simplify 2 into 2 5.532 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.532 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.532 * [taylor]: Taking taylor expansion of n in n 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (* 1 1) into 1 5.533 * [backup-simplify]: Simplify (/ 1 1) into 1 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.537 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.540 * [backup-simplify]: Simplify (- 0) into 0 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 0 into 0 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.545 * [backup-simplify]: Simplify (+ 0 0) into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.546 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.546 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.546 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.546 * [taylor]: Taking taylor expansion of 2 in n 5.546 * [backup-simplify]: Simplify 2 into 2 5.546 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.546 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.546 * [taylor]: Taking taylor expansion of n in n 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (* 1 1) into 1 5.547 * [backup-simplify]: Simplify (* 1 1) into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.557 * [backup-simplify]: Simplify (- 0) into 0 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.557 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 5.557 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 5.558 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 5.558 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.558 * [taylor]: Taking taylor expansion of n in f 5.558 * [backup-simplify]: Simplify n into n 5.558 * [taylor]: Taking taylor expansion of (+ n f) in f 5.558 * [taylor]: Taking taylor expansion of n in f 5.558 * [backup-simplify]: Simplify n into n 5.558 * [taylor]: Taking taylor expansion of f in f 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (+ n 0) into n 5.558 * [backup-simplify]: Simplify (/ n n) into 1 5.558 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.558 * [taylor]: Taking taylor expansion of n in n 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of (+ n f) in n 5.558 * [taylor]: Taking taylor expansion of n in n 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of f in n 5.558 * [backup-simplify]: Simplify f into f 5.558 * [backup-simplify]: Simplify (+ 0 f) into f 5.558 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.558 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.558 * [taylor]: Taking taylor expansion of n in n 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of (+ n f) in n 5.558 * [taylor]: Taking taylor expansion of n in n 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of f in n 5.558 * [backup-simplify]: Simplify f into f 5.559 * [backup-simplify]: Simplify (+ 0 f) into f 5.559 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.559 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.559 * [taylor]: Taking taylor expansion of f in f 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (/ 1 1) into 1 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify (+ 1 0) into 1 5.561 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 5.561 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 5.561 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.561 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.561 * [taylor]: Taking taylor expansion of f in f 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [backup-simplify]: Simplify (* 1 1) into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (- 0) into 0 5.565 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.567 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 5.567 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 5.567 * [taylor]: Taking taylor expansion of (pow f 3) in f 5.567 * [taylor]: Taking taylor expansion of f in f 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [backup-simplify]: Simplify (* 1 1) into 1 5.568 * [backup-simplify]: Simplify (* 1 1) into 1 5.568 * [backup-simplify]: Simplify (/ 1 1) into 1 5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (- 0) into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.580 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.580 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.580 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.580 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.580 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.580 * [taylor]: Taking taylor expansion of f in f 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.580 * [backup-simplify]: Simplify (/ 1 1) into 1 5.580 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.580 * [taylor]: Taking taylor expansion of n in f 5.581 * [backup-simplify]: Simplify n into n 5.581 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.581 * [taylor]: Taking taylor expansion of n in f 5.581 * [backup-simplify]: Simplify n into n 5.581 * [backup-simplify]: Simplify (+ 1 0) into 1 5.581 * [backup-simplify]: Simplify (* 1 n) into n 5.581 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.581 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.581 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.581 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.581 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.581 * [taylor]: Taking taylor expansion of f in n 5.581 * [backup-simplify]: Simplify f into f 5.581 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.581 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.581 * [taylor]: Taking taylor expansion of n in n 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [taylor]: Taking taylor expansion of n in n 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (+ 0 1) into 1 5.585 * [backup-simplify]: Simplify (* 1 0) into 0 5.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.586 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.587 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.587 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.587 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.587 * [taylor]: Taking taylor expansion of f in n 5.587 * [backup-simplify]: Simplify f into f 5.587 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.587 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.587 * [taylor]: Taking taylor expansion of n in n 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [taylor]: Taking taylor expansion of n in n 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (+ 0 1) into 1 5.589 * [backup-simplify]: Simplify (* 1 0) into 0 5.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.590 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.590 * [backup-simplify]: Simplify (/ 1 1) into 1 5.591 * [taylor]: Taking taylor expansion of 1 in f 5.591 * [backup-simplify]: Simplify 1 into 1 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.593 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.593 * [taylor]: Taking taylor expansion of f in f 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.594 * [backup-simplify]: Simplify (/ 1 1) into 1 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (- 0) into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (+ 0 0) into 0 5.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.599 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.599 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.599 * [taylor]: Taking taylor expansion of f in f 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (* 1 1) into 1 5.600 * [backup-simplify]: Simplify (/ 1 1) into 1 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.607 * [backup-simplify]: Simplify (- 0) into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.607 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.607 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.607 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.607 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.607 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.607 * [taylor]: Taking taylor expansion of f in f 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.608 * [taylor]: Taking taylor expansion of n in f 5.608 * [backup-simplify]: Simplify n into n 5.608 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.608 * [taylor]: Taking taylor expansion of n in f 5.608 * [backup-simplify]: Simplify n into n 5.608 * [backup-simplify]: Simplify (+ 1 0) into 1 5.608 * [backup-simplify]: Simplify (* 1 n) into n 5.608 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.608 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.608 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.608 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.608 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.608 * [taylor]: Taking taylor expansion of f in n 5.608 * [backup-simplify]: Simplify f into f 5.608 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.608 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.608 * [taylor]: Taking taylor expansion of n in n 5.608 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (/ 1 1) into 1 5.609 * [taylor]: Taking taylor expansion of n in n 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (+ 0 1) into 1 5.610 * [backup-simplify]: Simplify (* 1 0) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.611 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.611 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.611 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.611 * [taylor]: Taking taylor expansion of f in n 5.611 * [backup-simplify]: Simplify f into f 5.611 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.611 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.611 * [taylor]: Taking taylor expansion of n in n 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.612 * [taylor]: Taking taylor expansion of n in n 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (+ 0 1) into 1 5.613 * [backup-simplify]: Simplify (* 1 0) into 0 5.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.614 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.614 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.614 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [taylor]: Taking taylor expansion of 1 in f 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (+ 0 0) into 0 5.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.617 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.617 * [taylor]: Taking taylor expansion of f in f 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (- 0) into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify 0 into 0 5.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.623 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.623 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.623 * [taylor]: Taking taylor expansion of f in f 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (* 1 1) into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (- 0) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.631 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 5.631 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 5.631 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.631 * [taylor]: Taking taylor expansion of f in n 5.631 * [backup-simplify]: Simplify f into f 5.631 * [taylor]: Taking taylor expansion of (+ n f) in n 5.631 * [taylor]: Taking taylor expansion of n in n 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.631 * [taylor]: Taking taylor expansion of f in n 5.631 * [backup-simplify]: Simplify f into f 5.631 * [backup-simplify]: Simplify (+ 0 f) into f 5.631 * [backup-simplify]: Simplify (/ f f) into 1 5.632 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.632 * [taylor]: Taking taylor expansion of f in f 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [taylor]: Taking taylor expansion of (+ n f) in f 5.632 * [taylor]: Taking taylor expansion of n in f 5.632 * [backup-simplify]: Simplify n into n 5.632 * [taylor]: Taking taylor expansion of f in f 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (+ n 0) into n 5.632 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.632 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.632 * [taylor]: Taking taylor expansion of f in f 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [taylor]: Taking taylor expansion of (+ n f) in f 5.632 * [taylor]: Taking taylor expansion of n in f 5.632 * [backup-simplify]: Simplify n into n 5.632 * [taylor]: Taking taylor expansion of f in f 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (+ n 0) into n 5.632 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.632 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.632 * [taylor]: Taking taylor expansion of n in n 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify (+ 0 1) into 1 5.634 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.634 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.634 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.634 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.634 * [taylor]: Taking taylor expansion of n in n 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (* 1 1) into 1 5.635 * [backup-simplify]: Simplify (/ 1 1) into 1 5.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.639 * [backup-simplify]: Simplify (- 0) into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (+ 0 0) into 0 5.641 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.641 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.641 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.641 * [taylor]: Taking taylor expansion of n in n 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (* 1 1) into 1 5.642 * [backup-simplify]: Simplify (* 1 1) into 1 5.642 * [backup-simplify]: Simplify (/ 1 1) into 1 5.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify (- 0) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 5.649 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 5.649 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.649 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.649 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.649 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.649 * [taylor]: Taking taylor expansion of f in n 5.649 * [backup-simplify]: Simplify f into f 5.649 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.650 * [taylor]: Taking taylor expansion of n in n 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (/ 1 1) into 1 5.650 * [taylor]: Taking taylor expansion of f in n 5.650 * [backup-simplify]: Simplify f into f 5.650 * [backup-simplify]: Simplify (+ 0 1) into 1 5.650 * [backup-simplify]: Simplify (* 1 f) into f 5.650 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.650 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.650 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.650 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.650 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.650 * [taylor]: Taking taylor expansion of f in f 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (/ 1 1) into 1 5.651 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.651 * [taylor]: Taking taylor expansion of n in f 5.651 * [backup-simplify]: Simplify n into n 5.651 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.651 * [taylor]: Taking taylor expansion of f in f 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (+ 1 0) into 1 5.651 * [backup-simplify]: Simplify (* 1 0) into 0 5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.652 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.652 * [backup-simplify]: Simplify (/ 1 1) into 1 5.652 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.652 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.652 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.652 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.652 * [taylor]: Taking taylor expansion of f in f 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (/ 1 1) into 1 5.653 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.653 * [taylor]: Taking taylor expansion of n in f 5.653 * [backup-simplify]: Simplify n into n 5.653 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.653 * [taylor]: Taking taylor expansion of f in f 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (+ 1 0) into 1 5.653 * [backup-simplify]: Simplify (* 1 0) into 0 5.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.654 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.654 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.654 * [backup-simplify]: Simplify (/ 1 1) into 1 5.654 * [taylor]: Taking taylor expansion of 1 in n 5.654 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.655 * [backup-simplify]: Simplify (+ 0 0) into 0 5.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.656 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.656 * [taylor]: Taking taylor expansion of n in n 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (/ 1 1) into 1 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.657 * [backup-simplify]: Simplify (- 0) into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.659 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.659 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.659 * [taylor]: Taking taylor expansion of n in n 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (* 1 1) into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 5.664 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 5.664 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.664 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.664 * [taylor]: Taking taylor expansion of f in n 5.664 * [backup-simplify]: Simplify f into f 5.664 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.664 * [taylor]: Taking taylor expansion of n in n 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (/ 1 1) into 1 5.664 * [taylor]: Taking taylor expansion of f in n 5.664 * [backup-simplify]: Simplify f into f 5.665 * [backup-simplify]: Simplify (+ 0 1) into 1 5.665 * [backup-simplify]: Simplify (* 1 f) into f 5.665 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.665 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.665 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.665 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.665 * [taylor]: Taking taylor expansion of f in f 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify (/ 1 1) into 1 5.665 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.665 * [taylor]: Taking taylor expansion of n in f 5.665 * [backup-simplify]: Simplify n into n 5.665 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.665 * [taylor]: Taking taylor expansion of f in f 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify (+ 1 0) into 1 5.666 * [backup-simplify]: Simplify (* 1 0) into 0 5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.666 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.667 * [backup-simplify]: Simplify (/ 1 1) into 1 5.667 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.667 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.667 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.667 * [taylor]: Taking taylor expansion of f in f 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (/ 1 1) into 1 5.667 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.667 * [taylor]: Taking taylor expansion of n in f 5.667 * [backup-simplify]: Simplify n into n 5.667 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.667 * [taylor]: Taking taylor expansion of f in f 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (+ 1 0) into 1 5.668 * [backup-simplify]: Simplify (* 1 0) into 0 5.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.668 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.668 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.669 * [backup-simplify]: Simplify (/ 1 1) into 1 5.669 * [taylor]: Taking taylor expansion of 1 in n 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.670 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.670 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.670 * [taylor]: Taking taylor expansion of n in n 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify (- 0) into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.674 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.674 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.674 * [taylor]: Taking taylor expansion of n in n 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 1 into 1 5.674 * [backup-simplify]: Simplify (* 1 1) into 1 5.675 * [backup-simplify]: Simplify (/ 1 1) into 1 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.681 * [backup-simplify]: Simplify (- 0) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * * * [progress]: simplifying candidates 5.681 * * * * [progress]: [ 1 / 197 ] simplifiying candidate # 5.681 * * * * [progress]: [ 2 / 197 ] simplifiying candidate # 5.681 * * * * [progress]: [ 3 / 197 ] simplifiying candidate # 5.681 * * * * [progress]: [ 4 / 197 ] simplifiying candidate # 5.681 * * * * [progress]: [ 5 / 197 ] simplifiying candidate # 5.681 * * * * [progress]: [ 6 / 197 ] simplifiying candidate # 5.681 * * * * 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candidate # 5.688 * * * * [progress]: [ 100 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 101 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 102 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 103 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 104 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 105 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 106 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 107 / 197 ] simplifiying candidate # 5.688 * * * * [progress]: [ 108 / 197 ] simplifiying candidate # 5.689 * * * * [progress]: [ 109 / 197 ] simplifiying candidate # 5.689 * * * * [progress]: [ 110 / 197 ] simplifiying candidate # 5.689 * * * * [progress]: [ 111 / 197 ] simplifiying candidate # 5.689 * * * * [progress]: [ 112 / 197 ] simplifiying candidate # 5.689 * * * * [progress]: [ 113 / 197 ] simplifiying candidate # 5.689 * * * * [progress]: [ 114 / 197 ] simplifiying candidate # 5.689 * * * * 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5.691 * * * * [progress]: [ 145 / 197 ] simplifiying candidate # 5.691 * * * * [progress]: [ 146 / 197 ] simplifiying candidate # 5.691 * * * * [progress]: [ 147 / 197 ] simplifiying candidate # 5.691 * * * * [progress]: [ 148 / 197 ] simplifiying candidate # 5.691 * * * * [progress]: [ 149 / 197 ] simplifiying candidate # 5.691 * * * * [progress]: [ 150 / 197 ] simplifiying candidate # 5.691 * * * * [progress]: [ 151 / 197 ] simplifiying candidate #real (real->posit16 (/ n (+ f n)))))))> 5.692 * * * * [progress]: [ 152 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 153 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 154 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 155 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 156 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 157 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 158 / 197 ] simplifiying candidate # 5.692 * * * * [progress]: [ 159 / 197 ] 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5.693 * * * * [progress]: [ 175 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 176 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 177 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 178 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 179 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 180 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 181 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 182 / 197 ] simplifiying candidate # 5.693 * * * * [progress]: [ 183 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 184 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 185 / 197 ] simplifiying candidate #real (real->posit16 (/ f (+ f n)))) (/ n (+ f n)))))> 5.694 * * * * [progress]: [ 186 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 187 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 188 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 189 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 190 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 191 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 192 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 193 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 194 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 195 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 196 / 197 ] simplifiying candidate # 5.694 * * * * [progress]: [ 197 / 197 ] simplifiying candidate # 5.698 * [simplify]: Simplifying (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))), (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))), (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))), (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (* (* (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))), (- -1), (- (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))), (/ (cbrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))), (/ (cbrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) 1), (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))), (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))), (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))), (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))), (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))), (/ (cbrt -1) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))), (/ (cbrt -1) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)), (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) 1), (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))), (/ (* (cbrt -1) (cbrt -1)) (/ 1 (+ f n))), (/ (cbrt -1) (- f n)), (/ (* (cbrt -1) (cbrt -1)) (+ (* f f) (- (* n n) (* f 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(+ n f)) (/ n (+ n f)))), (- f n), (- (* f f) (* n n)), (* (+ n f) (+ n f)), (- (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f)))), (+ (* (* (/ 1 (+ n f)) (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f)))), (- (/ n (+ n f))), (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f)))), (* (/ 1 (+ n f)) (+ n f)), (+ (sqrt (/ n (+ n f))) (sqrt (/ f (+ n f)))), (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))), (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f)))), (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f)))), (+ (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f)))), (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f)))), (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f)))), (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f)))), (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f)))), (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f)))), (- (/ f (+ n f)) (/ n (+ n f))), (- (/ f (+ n f)) (/ n (+ n f))), (- (/ f (+ n f)) (/ n (+ n f))), (- (/ f (+ n f)) (/ n (+ n f))), (- (/ f (+ n f)) (/ n (+ n f))), (- f n), (- (/ f (+ (* (* f f) f) (* (* n n) n))) (/ n (+ (* (* f f) f) (* (* n n) n)))), (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))), (- (/ n (+ n f))), (real->posit16 (- (/ f (+ n f)) (/ n (+ n f)))), (log (/ n (+ n f))), (log (/ n (+ n f))), (exp (/ n (+ n f))), (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f))), (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))), (cbrt (/ n (+ n f))), (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f))), (sqrt (/ n (+ n f))), (sqrt (/ n (+ n f))), (- n), (- (- n) f), (* (/ (cbrt n) (cbrt (+ n f))) (/ (cbrt n) (cbrt (+ n f)))), (/ (cbrt n) (cbrt (+ n f))), (* (cbrt n) (/ (cbrt n) (sqrt (+ n f)))), (/ (cbrt n) (sqrt (+ n f))), (* (cbrt n) (cbrt n)), (/ (cbrt n) (+ n f)), (* (cbrt n) (cbrt n)), (/ (cbrt n) (+ n f)), (/ (sqrt n) (* (cbrt (+ n f)) (cbrt (+ n f)))), (/ (sqrt n) (cbrt (+ n f))), (/ (sqrt n) (sqrt (+ n f))), (/ (sqrt n) (sqrt (+ n f))), (sqrt n), (/ (sqrt n) (+ n f)), (sqrt n), (/ (sqrt n) (+ n f)), (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))), (/ n (cbrt (+ n f))), (/ 1 (sqrt (+ n f))), (/ n (sqrt (+ n f))), 1, (/ n (+ n f)), 1, (/ n (+ n f)), (/ 1 (+ n f)), (/ (+ n f) n), (/ n (* (cbrt (+ n f)) (cbrt (+ n f)))), (/ n (sqrt (+ n f))), n, n, (/ (+ n f) (cbrt n)), (/ (+ n f) (sqrt n)), (/ (+ n f) n), (/ n (+ (* (* f f) f) (* (* n n) n))), (/ n (- (* f f) (* n n))), (real->posit16 (/ n (+ n f))), (log (/ f (+ n f))), (log (/ f (+ n f))), (exp (/ f (+ n f))), (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))), (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))), (cbrt (/ f (+ n f))), (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))), (sqrt (/ f (+ n f))), (sqrt (/ f (+ n f))), (- f), (- (- n) f), (* (/ (cbrt f) (cbrt (+ n f))) (/ (cbrt f) (cbrt (+ n f)))), (/ (cbrt f) (cbrt (+ n f))), (* (/ (cbrt f) (sqrt (+ n f))) (cbrt f)), (/ (cbrt f) (sqrt (+ n f))), (* (cbrt f) (cbrt f)), (/ (cbrt f) (+ n f)), (* (cbrt f) (cbrt f)), (/ (cbrt f) (+ n f)), (/ (/ (sqrt f) (cbrt (+ n f))) (cbrt (+ n f))), (/ (sqrt f) (cbrt (+ n f))), (/ (sqrt f) (sqrt (+ n f))), (/ (sqrt f) (sqrt (+ n f))), (sqrt f), (/ (sqrt f) (+ n f)), (sqrt f), (/ (sqrt f) (+ n f)), (/ (/ 1 (cbrt (+ n f))) (cbrt (+ n f))), (/ f (cbrt (+ n f))), (/ 1 (sqrt (+ n f))), (/ f (sqrt (+ n f))), 1, (/ f (+ n f)), 1, (/ f (+ n f)), (/ 1 (+ n f)), (/ (+ n f) f), (/ (/ f (cbrt (+ n f))) (cbrt (+ n f))), (/ f (sqrt (+ n f))), f, f, (/ (+ n f) (cbrt f)), (/ (+ n f) (sqrt f)), (/ (+ n f) f), (/ f (+ (* (* f f) f) (* (* n n) n))), (/ f (- (* f f) (* n n))), (real->posit16 (/ f (+ n f))), 1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0 7.375 * * * [progress]: adding candidates to table 8.915 * * [progress]: iteration 4 / 4 8.915 * * * [progress]: picking best candidate 8.921 * * * * [pick]: Picked # 8.921 * * * [progress]: localizing error 8.980 * * * [progress]: generating rewritten candidates 8.980 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 9.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.090 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 9.148 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 9.195 * * * [progress]: generating series expansions 9.195 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 9.195 * [backup-simplify]: Simplify (* (/ f (+ n f)) (/ f (+ n f))) into (/ (pow f 2) (pow (+ n f) 2)) 9.195 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 9.195 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 9.195 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.195 * [taylor]: Taking taylor expansion of f in n 9.195 * [backup-simplify]: Simplify f into f 9.195 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 9.195 * [taylor]: Taking taylor expansion of (+ n f) in n 9.195 * [taylor]: Taking taylor expansion of n in n 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [taylor]: Taking taylor expansion of f in n 9.195 * [backup-simplify]: Simplify f into f 9.195 * [backup-simplify]: Simplify (+ 0 f) into f 9.195 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.195 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.195 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 9.195 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 9.195 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.195 * [taylor]: Taking taylor expansion of f in f 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 9.195 * [taylor]: Taking taylor expansion of (+ n f) in f 9.195 * [taylor]: Taking taylor expansion of n in f 9.195 * [backup-simplify]: Simplify n into n 9.195 * [taylor]: Taking taylor expansion of f in f 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (+ n 0) into n 9.199 * [backup-simplify]: Simplify (* 1 1) into 1 9.200 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.200 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.200 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 9.200 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.200 * [taylor]: Taking taylor expansion of f in f 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 9.200 * [taylor]: Taking taylor expansion of (+ n f) in f 9.200 * [taylor]: Taking taylor expansion of n in f 9.200 * [backup-simplify]: Simplify n into n 9.200 * [taylor]: Taking taylor expansion of f in f 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (+ n 0) into n 9.200 * [backup-simplify]: Simplify (* 1 1) into 1 9.200 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.200 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.200 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.200 * [taylor]: Taking taylor expansion of n in n 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (* 1 1) into 1 9.201 * [backup-simplify]: Simplify (/ 1 1) into 1 9.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.204 * [backup-simplify]: Simplify (+ 0 1) into 1 9.204 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 9.204 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 9.204 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.204 * [taylor]: Taking taylor expansion of 2 in n 9.204 * [backup-simplify]: Simplify 2 into 2 9.204 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.204 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.204 * [taylor]: Taking taylor expansion of n in n 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [backup-simplify]: Simplify (* 1 1) into 1 9.204 * [backup-simplify]: Simplify (* 1 1) into 1 9.205 * [backup-simplify]: Simplify (/ 1 1) into 1 9.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.211 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.212 * [backup-simplify]: Simplify (+ 0 0) into 0 9.213 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 9.213 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 9.213 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 9.213 * [taylor]: Taking taylor expansion of 3 in n 9.213 * [backup-simplify]: Simplify 3 into 3 9.213 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 9.213 * [taylor]: Taking taylor expansion of (pow n 4) in n 9.213 * [taylor]: Taking taylor expansion of n in n 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [backup-simplify]: Simplify (* 1 1) into 1 9.213 * [backup-simplify]: Simplify (* 1 1) into 1 9.214 * [backup-simplify]: Simplify (/ 1 1) into 1 9.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.224 * [backup-simplify]: Simplify (- 0) into 0 9.224 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 f) (+ (/ 1 n) (/ 1 f)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 9.225 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 9.226 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 9.226 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 9.226 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.226 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.226 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.226 * [taylor]: Taking taylor expansion of f in n 9.226 * [backup-simplify]: Simplify f into f 9.226 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.226 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.226 * [taylor]: Taking taylor expansion of n in n 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 1 into 1 9.226 * [backup-simplify]: Simplify (/ 1 1) into 1 9.226 * [backup-simplify]: Simplify (+ 0 1) into 1 9.226 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.226 * [taylor]: Taking taylor expansion of f in n 9.226 * [backup-simplify]: Simplify f into f 9.227 * [backup-simplify]: Simplify (* 1 1) into 1 9.227 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.227 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 9.227 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.227 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.227 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.227 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.227 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.227 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.227 * [taylor]: Taking taylor expansion of f in f 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [backup-simplify]: Simplify (/ 1 1) into 1 9.227 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.227 * [taylor]: Taking taylor expansion of n in f 9.227 * [backup-simplify]: Simplify n into n 9.227 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.227 * [backup-simplify]: Simplify (+ 1 0) into 1 9.227 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.227 * [taylor]: Taking taylor expansion of f in f 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.228 * [backup-simplify]: Simplify (* 1 1) into 1 9.228 * [backup-simplify]: Simplify (* 1 1) into 1 9.228 * [backup-simplify]: Simplify (* 1 1) into 1 9.228 * [backup-simplify]: Simplify (/ 1 1) into 1 9.228 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.228 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.228 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.229 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.229 * [taylor]: Taking taylor expansion of f in f 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [backup-simplify]: Simplify (/ 1 1) into 1 9.229 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.229 * [taylor]: Taking taylor expansion of n in f 9.229 * [backup-simplify]: Simplify n into n 9.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.229 * [backup-simplify]: Simplify (+ 1 0) into 1 9.229 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.229 * [taylor]: Taking taylor expansion of f in f 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [backup-simplify]: Simplify (* 1 1) into 1 9.230 * [backup-simplify]: Simplify (* 1 1) into 1 9.230 * [backup-simplify]: Simplify (* 1 1) into 1 9.230 * [backup-simplify]: Simplify (/ 1 1) into 1 9.230 * [taylor]: Taking taylor expansion of 1 in n 9.230 * [backup-simplify]: Simplify 1 into 1 9.230 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.231 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 9.232 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 9.232 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.232 * [taylor]: Taking taylor expansion of 2 in n 9.232 * [backup-simplify]: Simplify 2 into 2 9.232 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.232 * [taylor]: Taking taylor expansion of n in n 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [backup-simplify]: Simplify (/ 1 1) into 1 9.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.235 * [backup-simplify]: Simplify (- 0) into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.236 * [backup-simplify]: Simplify (+ 0 0) into 0 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 9.237 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 9.237 * [taylor]: Taking taylor expansion of 3 in n 9.237 * [backup-simplify]: Simplify 3 into 3 9.237 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.237 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.237 * [taylor]: Taking taylor expansion of n in n 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.238 * [backup-simplify]: Simplify (* 1 1) into 1 9.238 * [backup-simplify]: Simplify (/ 1 1) into 1 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.243 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.245 * [backup-simplify]: Simplify (- 0) into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- f)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 9.245 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 9.245 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 9.245 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 9.245 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.245 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.245 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.245 * [taylor]: Taking taylor expansion of f in n 9.246 * [backup-simplify]: Simplify f into f 9.246 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.246 * [taylor]: Taking taylor expansion of n in n 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [backup-simplify]: Simplify (/ 1 1) into 1 9.246 * [backup-simplify]: Simplify (+ 0 1) into 1 9.246 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.246 * [taylor]: Taking taylor expansion of f in n 9.246 * [backup-simplify]: Simplify f into f 9.246 * [backup-simplify]: Simplify (* 1 1) into 1 9.246 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.247 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 9.247 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.247 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.247 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.247 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.247 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.247 * [taylor]: Taking taylor expansion of f in f 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [backup-simplify]: Simplify (/ 1 1) into 1 9.247 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.247 * [taylor]: Taking taylor expansion of n in f 9.247 * [backup-simplify]: Simplify n into n 9.247 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.247 * [backup-simplify]: Simplify (+ 1 0) into 1 9.247 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.247 * [taylor]: Taking taylor expansion of f in f 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (* 1 1) into 1 9.248 * [backup-simplify]: Simplify (* 1 1) into 1 9.248 * [backup-simplify]: Simplify (* 1 1) into 1 9.248 * [backup-simplify]: Simplify (/ 1 1) into 1 9.248 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.248 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.248 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.248 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.248 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.248 * [taylor]: Taking taylor expansion of f in f 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (/ 1 1) into 1 9.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.249 * [taylor]: Taking taylor expansion of n in f 9.249 * [backup-simplify]: Simplify n into n 9.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.249 * [backup-simplify]: Simplify (+ 1 0) into 1 9.249 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.249 * [taylor]: Taking taylor expansion of f in f 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [backup-simplify]: Simplify (* 1 1) into 1 9.250 * [backup-simplify]: Simplify (* 1 1) into 1 9.250 * [backup-simplify]: Simplify (* 1 1) into 1 9.250 * [backup-simplify]: Simplify (/ 1 1) into 1 9.250 * [taylor]: Taking taylor expansion of 1 in n 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.251 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 9.252 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 9.252 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.252 * [taylor]: Taking taylor expansion of 2 in n 9.252 * [backup-simplify]: Simplify 2 into 2 9.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.252 * [taylor]: Taking taylor expansion of n in n 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 1 into 1 9.252 * [backup-simplify]: Simplify (/ 1 1) into 1 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.256 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 9.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 9.257 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 9.257 * [taylor]: Taking taylor expansion of 3 in n 9.257 * [backup-simplify]: Simplify 3 into 3 9.257 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.257 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.257 * [taylor]: Taking taylor expansion of n in n 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [backup-simplify]: Simplify (* 1 1) into 1 9.258 * [backup-simplify]: Simplify (/ 1 1) into 1 9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.263 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.264 * [backup-simplify]: Simplify (- 0) into 0 9.264 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.265 * [backup-simplify]: Simplify (* (/ f (+ f n)) (/ f (+ f n))) into (/ (pow f 2) (pow (+ n f) 2)) 9.265 * [approximate]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in (f n) around 0 9.265 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in n 9.265 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.265 * [taylor]: Taking taylor expansion of f in n 9.265 * [backup-simplify]: Simplify f into f 9.265 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 9.265 * [taylor]: Taking taylor expansion of (+ n f) in n 9.265 * [taylor]: Taking taylor expansion of n in n 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [taylor]: Taking taylor expansion of f in n 9.265 * [backup-simplify]: Simplify f into f 9.265 * [backup-simplify]: Simplify (+ 0 f) into f 9.265 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.265 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.265 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 9.265 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 9.265 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.265 * [taylor]: Taking taylor expansion of f in f 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 9.265 * [taylor]: Taking taylor expansion of (+ n f) in f 9.265 * [taylor]: Taking taylor expansion of n in f 9.265 * [backup-simplify]: Simplify n into n 9.265 * [taylor]: Taking taylor expansion of f in f 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (+ n 0) into n 9.266 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.266 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.266 * [taylor]: Taking taylor expansion of (/ (pow f 2) (pow (+ n f) 2)) in f 9.266 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.266 * [taylor]: Taking taylor expansion of f in f 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 9.266 * [taylor]: Taking taylor expansion of (+ n f) in f 9.266 * [taylor]: Taking taylor expansion of n in f 9.266 * [backup-simplify]: Simplify n into n 9.266 * [taylor]: Taking taylor expansion of f in f 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.266 * [backup-simplify]: Simplify (+ n 0) into n 9.266 * [backup-simplify]: Simplify (* 1 1) into 1 9.266 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.266 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.266 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.266 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.266 * [taylor]: Taking taylor expansion of n in n 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (* 1 1) into 1 9.267 * [backup-simplify]: Simplify (/ 1 1) into 1 9.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.269 * [backup-simplify]: Simplify 0 into 0 9.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.270 * [backup-simplify]: Simplify (+ 0 1) into 1 9.270 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 9.270 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ (* 2 n) (pow n 2))))) into (- (* 2 (/ 1 (pow n 3)))) 9.270 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 9.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 9.270 * [taylor]: Taking taylor expansion of 2 in n 9.270 * [backup-simplify]: Simplify 2 into 2 9.270 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 9.270 * [taylor]: Taking taylor expansion of (pow n 3) in n 9.270 * [taylor]: Taking taylor expansion of n in n 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 1 into 1 9.270 * [backup-simplify]: Simplify (* 1 1) into 1 9.271 * [backup-simplify]: Simplify (* 1 1) into 1 9.271 * [backup-simplify]: Simplify (/ 1 1) into 1 9.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (- 0) into 0 9.276 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.278 * [backup-simplify]: Simplify (+ 0 0) into 0 9.279 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 9.279 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (* (- (* 2 (/ 1 (pow n 3)))) (/ (* 2 n) (pow n 2))))) into (* 3 (/ 1 (pow n 4))) 9.279 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 4))) in n 9.279 * [taylor]: Taking taylor expansion of 3 in n 9.279 * [backup-simplify]: Simplify 3 into 3 9.279 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 9.279 * [taylor]: Taking taylor expansion of (pow n 4) in n 9.279 * [taylor]: Taking taylor expansion of n in n 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [backup-simplify]: Simplify (* 1 1) into 1 9.280 * [backup-simplify]: Simplify (* 1 1) into 1 9.280 * [backup-simplify]: Simplify (/ 1 1) into 1 9.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.292 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.295 * [backup-simplify]: Simplify (- 0) into 0 9.295 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify (* (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 f) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 9.297 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 9.297 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 9.297 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 9.297 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.297 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.297 * [taylor]: Taking taylor expansion of f in n 9.297 * [backup-simplify]: Simplify f into f 9.297 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.297 * [taylor]: Taking taylor expansion of n in n 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (/ 1 1) into 1 9.297 * [backup-simplify]: Simplify (+ 0 1) into 1 9.298 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.298 * [taylor]: Taking taylor expansion of f in n 9.298 * [backup-simplify]: Simplify f into f 9.298 * [backup-simplify]: Simplify (* 1 1) into 1 9.298 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.298 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 9.298 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.298 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.298 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.298 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.298 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.298 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.298 * [taylor]: Taking taylor expansion of f in f 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (/ 1 1) into 1 9.298 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.298 * [taylor]: Taking taylor expansion of n in f 9.298 * [backup-simplify]: Simplify n into n 9.298 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.299 * [backup-simplify]: Simplify (+ 1 0) into 1 9.299 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.299 * [taylor]: Taking taylor expansion of f in f 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 1 into 1 9.299 * [backup-simplify]: Simplify (* 1 1) into 1 9.299 * [backup-simplify]: Simplify (* 1 1) into 1 9.300 * [backup-simplify]: Simplify (* 1 1) into 1 9.300 * [backup-simplify]: Simplify (/ 1 1) into 1 9.300 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.300 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.300 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.300 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.300 * [taylor]: Taking taylor expansion of f in f 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (/ 1 1) into 1 9.300 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.300 * [taylor]: Taking taylor expansion of n in f 9.300 * [backup-simplify]: Simplify n into n 9.300 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.301 * [backup-simplify]: Simplify (+ 1 0) into 1 9.301 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.301 * [taylor]: Taking taylor expansion of f in f 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 1 into 1 9.301 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (* 1 1) into 1 9.301 * [backup-simplify]: Simplify (* 1 1) into 1 9.302 * [backup-simplify]: Simplify (/ 1 1) into 1 9.302 * [taylor]: Taking taylor expansion of 1 in n 9.302 * [backup-simplify]: Simplify 1 into 1 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.303 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.303 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 9.303 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.303 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.303 * [taylor]: Taking taylor expansion of 2 in n 9.303 * [backup-simplify]: Simplify 2 into 2 9.303 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.303 * [taylor]: Taking taylor expansion of n in n 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify 1 into 1 9.304 * [backup-simplify]: Simplify (/ 1 1) into 1 9.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.306 * [backup-simplify]: Simplify (- 0) into 0 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.308 * [backup-simplify]: Simplify (+ 0 0) into 0 9.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 9.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 9.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 9.309 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 9.309 * [taylor]: Taking taylor expansion of 3 in n 9.309 * [backup-simplify]: Simplify 3 into 3 9.309 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.309 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.309 * [taylor]: Taking taylor expansion of n in n 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [backup-simplify]: Simplify (* 1 1) into 1 9.309 * [backup-simplify]: Simplify (/ 1 1) into 1 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.315 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.316 * [backup-simplify]: Simplify (- 0) into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify (* (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) 9.317 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in (f n) around 0 9.317 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in n 9.317 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in n 9.317 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.317 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.317 * [taylor]: Taking taylor expansion of f in n 9.317 * [backup-simplify]: Simplify f into f 9.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.317 * [taylor]: Taking taylor expansion of n in n 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [backup-simplify]: Simplify (+ 0 1) into 1 9.318 * [taylor]: Taking taylor expansion of (pow f 2) in n 9.318 * [taylor]: Taking taylor expansion of f in n 9.318 * [backup-simplify]: Simplify f into f 9.318 * [backup-simplify]: Simplify (* 1 1) into 1 9.318 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.318 * [backup-simplify]: Simplify (* 1 (pow f 2)) into (pow f 2) 9.318 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.318 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.318 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.318 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.318 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.318 * [taylor]: Taking taylor expansion of f in f 9.318 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.318 * [taylor]: Taking taylor expansion of n in f 9.318 * [backup-simplify]: Simplify n into n 9.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.319 * [backup-simplify]: Simplify (+ 1 0) into 1 9.319 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.319 * [taylor]: Taking taylor expansion of f in f 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [backup-simplify]: Simplify (* 1 1) into 1 9.319 * [backup-simplify]: Simplify (* 1 1) into 1 9.320 * [backup-simplify]: Simplify (* 1 1) into 1 9.320 * [backup-simplify]: Simplify (/ 1 1) into 1 9.320 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2))) in f 9.320 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow f 2)) in f 9.320 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.320 * [taylor]: Taking taylor expansion of f in f 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [backup-simplify]: Simplify (/ 1 1) into 1 9.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.320 * [taylor]: Taking taylor expansion of n in f 9.320 * [backup-simplify]: Simplify n into n 9.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.321 * [backup-simplify]: Simplify (+ 1 0) into 1 9.321 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.321 * [taylor]: Taking taylor expansion of f in f 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [backup-simplify]: Simplify (* 1 1) into 1 9.321 * [backup-simplify]: Simplify (* 1 1) into 1 9.321 * [backup-simplify]: Simplify (* 1 1) into 1 9.322 * [backup-simplify]: Simplify (/ 1 1) into 1 9.322 * [taylor]: Taking taylor expansion of 1 in n 9.322 * [backup-simplify]: Simplify 1 into 1 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.323 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.323 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 n)) 1)) into (* 2 (/ 1 n)) 9.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 9.323 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 9.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 9.323 * [taylor]: Taking taylor expansion of 2 in n 9.323 * [backup-simplify]: Simplify 2 into 2 9.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.323 * [taylor]: Taking taylor expansion of n in n 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify 1 into 1 9.323 * [backup-simplify]: Simplify (/ 1 1) into 1 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (- 0) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.327 * [backup-simplify]: Simplify (+ 0 0) into 0 9.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 9.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 n)) 0) (* (/ 1 (pow n 2)) 1))) into (/ 1 (pow n 2)) 9.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 n)) 1)))) into (* 3 (/ 1 (pow n 2))) 9.329 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow n 2))) in n 9.329 * [taylor]: Taking taylor expansion of 3 in n 9.329 * [backup-simplify]: Simplify 3 into 3 9.329 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.329 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.329 * [taylor]: Taking taylor expansion of n in n 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 1 into 1 9.329 * [backup-simplify]: Simplify (* 1 1) into 1 9.329 * [backup-simplify]: Simplify (/ 1 1) into 1 9.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.335 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.336 * [backup-simplify]: Simplify (- 0) into 0 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 9.336 * [backup-simplify]: Simplify (* (/ n (+ n f)) (/ n (+ n f))) into (/ (pow n 2) (pow (+ n f) 2)) 9.337 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 9.337 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 9.337 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.337 * [taylor]: Taking taylor expansion of n in f 9.337 * [backup-simplify]: Simplify n into n 9.337 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 9.337 * [taylor]: Taking taylor expansion of (+ n f) in f 9.337 * [taylor]: Taking taylor expansion of n in f 9.337 * [backup-simplify]: Simplify n into n 9.337 * [taylor]: Taking taylor expansion of f in f 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [backup-simplify]: Simplify (+ n 0) into n 9.337 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.337 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.337 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 9.337 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 9.337 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.337 * [taylor]: Taking taylor expansion of n in n 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 9.337 * [taylor]: Taking taylor expansion of (+ n f) in n 9.337 * [taylor]: Taking taylor expansion of n in n 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [taylor]: Taking taylor expansion of f in n 9.337 * [backup-simplify]: Simplify f into f 9.337 * [backup-simplify]: Simplify (+ 0 f) into f 9.337 * [backup-simplify]: Simplify (* 1 1) into 1 9.337 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.337 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.337 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 9.337 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.337 * [taylor]: Taking taylor expansion of n in n 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 9.338 * [taylor]: Taking taylor expansion of (+ n f) in n 9.338 * [taylor]: Taking taylor expansion of n in n 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of f in n 9.338 * [backup-simplify]: Simplify f into f 9.338 * [backup-simplify]: Simplify (+ 0 f) into f 9.338 * [backup-simplify]: Simplify (* 1 1) into 1 9.338 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.338 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.338 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.338 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.338 * [taylor]: Taking taylor expansion of f in f 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (* 1 1) into 1 9.339 * [backup-simplify]: Simplify (/ 1 1) into 1 9.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.341 * [backup-simplify]: Simplify (+ 1 0) into 1 9.341 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 9.341 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 9.341 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 9.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 9.342 * [taylor]: Taking taylor expansion of 2 in f 9.342 * [backup-simplify]: Simplify 2 into 2 9.342 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 9.342 * [taylor]: Taking taylor expansion of (pow f 3) in f 9.342 * [taylor]: Taking taylor expansion of f in f 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.342 * [backup-simplify]: Simplify (* 1 1) into 1 9.343 * [backup-simplify]: Simplify (/ 1 1) into 1 9.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.348 * [backup-simplify]: Simplify (- 0) into 0 9.348 * [backup-simplify]: Simplify 0 into 0 9.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.349 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.350 * [backup-simplify]: Simplify (+ 0 0) into 0 9.350 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 9.351 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 9.351 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 9.351 * [taylor]: Taking taylor expansion of 3 in f 9.351 * [backup-simplify]: Simplify 3 into 3 9.351 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 9.351 * [taylor]: Taking taylor expansion of (pow f 4) in f 9.351 * [taylor]: Taking taylor expansion of f in f 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify 1 into 1 9.351 * [backup-simplify]: Simplify (* 1 1) into 1 9.351 * [backup-simplify]: Simplify (* 1 1) into 1 9.352 * [backup-simplify]: Simplify (/ 1 1) into 1 9.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.365 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.371 * [backup-simplify]: Simplify (- 0) into 0 9.371 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 n) (/ 1 f))) (/ (/ 1 n) (+ (/ 1 n) (/ 1 f)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 9.374 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 9.374 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 9.374 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 9.374 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.374 * [taylor]: Taking taylor expansion of f in f 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 1 into 1 9.374 * [backup-simplify]: Simplify (/ 1 1) into 1 9.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.374 * [taylor]: Taking taylor expansion of n in f 9.374 * [backup-simplify]: Simplify n into n 9.374 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.375 * [backup-simplify]: Simplify (+ 1 0) into 1 9.375 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.375 * [taylor]: Taking taylor expansion of n in f 9.375 * [backup-simplify]: Simplify n into n 9.375 * [backup-simplify]: Simplify (* 1 1) into 1 9.375 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.376 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 9.376 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.376 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.376 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.376 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.376 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.376 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.376 * [taylor]: Taking taylor expansion of f in n 9.376 * [backup-simplify]: Simplify f into f 9.376 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.376 * [taylor]: Taking taylor expansion of n in n 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.376 * [backup-simplify]: Simplify (/ 1 1) into 1 9.377 * [backup-simplify]: Simplify (+ 0 1) into 1 9.377 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.377 * [taylor]: Taking taylor expansion of n in n 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify 1 into 1 9.377 * [backup-simplify]: Simplify (* 1 1) into 1 9.378 * [backup-simplify]: Simplify (* 1 1) into 1 9.378 * [backup-simplify]: Simplify (* 1 1) into 1 9.379 * [backup-simplify]: Simplify (/ 1 1) into 1 9.379 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.379 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.379 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.379 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.379 * [taylor]: Taking taylor expansion of f in n 9.379 * [backup-simplify]: Simplify f into f 9.379 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.379 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.379 * [taylor]: Taking taylor expansion of n in n 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify 1 into 1 9.379 * [backup-simplify]: Simplify (/ 1 1) into 1 9.380 * [backup-simplify]: Simplify (+ 0 1) into 1 9.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.380 * [taylor]: Taking taylor expansion of n in n 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 1 into 1 9.380 * [backup-simplify]: Simplify (* 1 1) into 1 9.381 * [backup-simplify]: Simplify (* 1 1) into 1 9.381 * [backup-simplify]: Simplify (* 1 1) into 1 9.382 * [backup-simplify]: Simplify (/ 1 1) into 1 9.382 * [taylor]: Taking taylor expansion of 1 in f 9.382 * [backup-simplify]: Simplify 1 into 1 9.382 * [backup-simplify]: Simplify 0 into 0 9.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.383 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 9.383 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 9.384 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 9.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 9.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 9.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 9.384 * [taylor]: Taking taylor expansion of 2 in f 9.384 * [backup-simplify]: Simplify 2 into 2 9.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.384 * [taylor]: Taking taylor expansion of f in f 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 1 into 1 9.385 * [backup-simplify]: Simplify (/ 1 1) into 1 9.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.389 * [backup-simplify]: Simplify (- 0) into 0 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 0 into 0 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 9.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify (+ 0 0) into 0 9.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 9.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 9.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 9.394 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 9.394 * [taylor]: Taking taylor expansion of 3 in f 9.394 * [backup-simplify]: Simplify 3 into 3 9.394 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.394 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.394 * [taylor]: Taking taylor expansion of f in f 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (* 1 1) into 1 9.395 * [backup-simplify]: Simplify (/ 1 1) into 1 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.410 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.413 * [backup-simplify]: Simplify (- 0) into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f)))) (/ (/ 1 (- n)) (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 9.413 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 9.413 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 9.413 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 9.413 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.413 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.414 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.414 * [taylor]: Taking taylor expansion of f in f 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.414 * [backup-simplify]: Simplify (/ 1 1) into 1 9.414 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.414 * [taylor]: Taking taylor expansion of n in f 9.414 * [backup-simplify]: Simplify n into n 9.414 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.415 * [backup-simplify]: Simplify (+ 1 0) into 1 9.415 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.415 * [taylor]: Taking taylor expansion of n in f 9.415 * [backup-simplify]: Simplify n into n 9.415 * [backup-simplify]: Simplify (* 1 1) into 1 9.415 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.415 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 9.415 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.415 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.415 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.415 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.415 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.415 * [taylor]: Taking taylor expansion of f in n 9.415 * [backup-simplify]: Simplify f into f 9.416 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.416 * [taylor]: Taking taylor expansion of n in n 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [backup-simplify]: Simplify (/ 1 1) into 1 9.416 * [backup-simplify]: Simplify (+ 0 1) into 1 9.417 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.417 * [taylor]: Taking taylor expansion of n in n 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (* 1 1) into 1 9.417 * [backup-simplify]: Simplify (* 1 1) into 1 9.418 * [backup-simplify]: Simplify (* 1 1) into 1 9.418 * [backup-simplify]: Simplify (/ 1 1) into 1 9.418 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.418 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.418 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.418 * [taylor]: Taking taylor expansion of f in n 9.418 * [backup-simplify]: Simplify f into f 9.418 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.418 * [taylor]: Taking taylor expansion of n in n 9.418 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (/ 1 1) into 1 9.419 * [backup-simplify]: Simplify (+ 0 1) into 1 9.419 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.419 * [taylor]: Taking taylor expansion of n in n 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (* 1 1) into 1 9.420 * [backup-simplify]: Simplify (* 1 1) into 1 9.421 * [backup-simplify]: Simplify (* 1 1) into 1 9.421 * [backup-simplify]: Simplify (/ 1 1) into 1 9.421 * [taylor]: Taking taylor expansion of 1 in f 9.421 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.423 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 9.423 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 9.424 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 9.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 9.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 9.424 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 9.424 * [taylor]: Taking taylor expansion of 2 in f 9.424 * [backup-simplify]: Simplify 2 into 2 9.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.424 * [taylor]: Taking taylor expansion of f in f 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 1 into 1 9.424 * [backup-simplify]: Simplify (/ 1 1) into 1 9.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.426 * [backup-simplify]: Simplify (- 0) into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.428 * [backup-simplify]: Simplify (+ 0 0) into 0 9.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 9.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 9.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 9.429 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 9.429 * [taylor]: Taking taylor expansion of 3 in f 9.429 * [backup-simplify]: Simplify 3 into 3 9.429 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.429 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.429 * [taylor]: Taking taylor expansion of f in f 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.430 * [backup-simplify]: Simplify (* 1 1) into 1 9.430 * [backup-simplify]: Simplify (/ 1 1) into 1 9.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.435 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.435 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.437 * [backup-simplify]: Simplify (- 0) into 0 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 9.437 * [backup-simplify]: Simplify (* (/ n (+ f n)) (/ n (+ f n))) into (/ (pow n 2) (pow (+ n f) 2)) 9.437 * [approximate]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in (n f) around 0 9.437 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in f 9.437 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.437 * [taylor]: Taking taylor expansion of n in f 9.437 * [backup-simplify]: Simplify n into n 9.437 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 9.437 * [taylor]: Taking taylor expansion of (+ n f) in f 9.437 * [taylor]: Taking taylor expansion of n in f 9.437 * [backup-simplify]: Simplify n into n 9.437 * [taylor]: Taking taylor expansion of f in f 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [backup-simplify]: Simplify (+ n 0) into n 9.437 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.437 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.437 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 9.437 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 9.437 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.437 * [taylor]: Taking taylor expansion of n in n 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 9.437 * [taylor]: Taking taylor expansion of (+ n f) in n 9.437 * [taylor]: Taking taylor expansion of n in n 9.437 * [backup-simplify]: Simplify 0 into 0 9.437 * [backup-simplify]: Simplify 1 into 1 9.437 * [taylor]: Taking taylor expansion of f in n 9.437 * [backup-simplify]: Simplify f into f 9.437 * [backup-simplify]: Simplify (+ 0 f) into f 9.438 * [backup-simplify]: Simplify (* 1 1) into 1 9.438 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.438 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.438 * [taylor]: Taking taylor expansion of (/ (pow n 2) (pow (+ n f) 2)) in n 9.438 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.438 * [taylor]: Taking taylor expansion of n in n 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 9.438 * [taylor]: Taking taylor expansion of (+ n f) in n 9.438 * [taylor]: Taking taylor expansion of n in n 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [taylor]: Taking taylor expansion of f in n 9.438 * [backup-simplify]: Simplify f into f 9.438 * [backup-simplify]: Simplify (+ 0 f) into f 9.438 * [backup-simplify]: Simplify (* 1 1) into 1 9.438 * [backup-simplify]: Simplify (* f f) into (pow f 2) 9.438 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 9.438 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.438 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.438 * [taylor]: Taking taylor expansion of f in f 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.439 * [backup-simplify]: Simplify (* 1 1) into 1 9.439 * [backup-simplify]: Simplify (/ 1 1) into 1 9.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.442 * [backup-simplify]: Simplify (+ 1 0) into 1 9.442 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 9.442 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ (* 2 f) (pow f 2))))) into (- (* 2 (/ 1 (pow f 3)))) 9.442 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow f 3)))) in f 9.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow f 3))) in f 9.442 * [taylor]: Taking taylor expansion of 2 in f 9.442 * [backup-simplify]: Simplify 2 into 2 9.442 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 9.442 * [taylor]: Taking taylor expansion of (pow f 3) in f 9.442 * [taylor]: Taking taylor expansion of f in f 9.442 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify 1 into 1 9.442 * [backup-simplify]: Simplify (* 1 1) into 1 9.442 * [backup-simplify]: Simplify (* 1 1) into 1 9.443 * [backup-simplify]: Simplify (/ 1 1) into 1 9.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.449 * [backup-simplify]: Simplify (- 0) into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.451 * [backup-simplify]: Simplify (+ 0 0) into 0 9.451 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 9.451 * [backup-simplify]: Simplify (- (/ 0 (pow f 2)) (+ (* (/ 1 (pow f 2)) (/ 1 (pow f 2))) (* (- (* 2 (/ 1 (pow f 3)))) (/ (* 2 f) (pow f 2))))) into (* 3 (/ 1 (pow f 4))) 9.451 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 4))) in f 9.451 * [taylor]: Taking taylor expansion of 3 in f 9.451 * [backup-simplify]: Simplify 3 into 3 9.451 * [taylor]: Taking taylor expansion of (/ 1 (pow f 4)) in f 9.451 * [taylor]: Taking taylor expansion of (pow f 4) in f 9.451 * [taylor]: Taking taylor expansion of f in f 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 1 into 1 9.452 * [backup-simplify]: Simplify (* 1 1) into 1 9.452 * [backup-simplify]: Simplify (* 1 1) into 1 9.452 * [backup-simplify]: Simplify (/ 1 1) into 1 9.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.463 * [backup-simplify]: Simplify (- 0) into 0 9.463 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify (* (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 9.465 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 9.465 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 9.465 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 9.465 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.465 * [taylor]: Taking taylor expansion of f in f 9.465 * [backup-simplify]: Simplify 0 into 0 9.465 * [backup-simplify]: Simplify 1 into 1 9.465 * [backup-simplify]: Simplify (/ 1 1) into 1 9.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.465 * [taylor]: Taking taylor expansion of n in f 9.465 * [backup-simplify]: Simplify n into n 9.465 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.465 * [backup-simplify]: Simplify (+ 1 0) into 1 9.465 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.465 * [taylor]: Taking taylor expansion of n in f 9.465 * [backup-simplify]: Simplify n into n 9.466 * [backup-simplify]: Simplify (* 1 1) into 1 9.466 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.466 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 9.466 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.466 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.466 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.466 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.466 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.466 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.466 * [taylor]: Taking taylor expansion of f in n 9.466 * [backup-simplify]: Simplify f into f 9.466 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.466 * [taylor]: Taking taylor expansion of n in n 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [backup-simplify]: Simplify (/ 1 1) into 1 9.466 * [backup-simplify]: Simplify (+ 0 1) into 1 9.467 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.467 * [taylor]: Taking taylor expansion of n in n 9.467 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify 1 into 1 9.467 * [backup-simplify]: Simplify (* 1 1) into 1 9.467 * [backup-simplify]: Simplify (* 1 1) into 1 9.467 * [backup-simplify]: Simplify (* 1 1) into 1 9.468 * [backup-simplify]: Simplify (/ 1 1) into 1 9.468 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.468 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.468 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.468 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.468 * [taylor]: Taking taylor expansion of f in n 9.468 * [backup-simplify]: Simplify f into f 9.468 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.468 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.468 * [taylor]: Taking taylor expansion of n in n 9.468 * [backup-simplify]: Simplify 0 into 0 9.468 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (/ 1 1) into 1 9.469 * [backup-simplify]: Simplify (+ 0 1) into 1 9.469 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.469 * [taylor]: Taking taylor expansion of n in n 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify 1 into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.469 * [backup-simplify]: Simplify (* 1 1) into 1 9.470 * [backup-simplify]: Simplify (/ 1 1) into 1 9.470 * [taylor]: Taking taylor expansion of 1 in f 9.470 * [backup-simplify]: Simplify 1 into 1 9.470 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 9.471 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 9.471 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 9.471 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 9.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 9.471 * [taylor]: Taking taylor expansion of 2 in f 9.471 * [backup-simplify]: Simplify 2 into 2 9.471 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.471 * [taylor]: Taking taylor expansion of f in f 9.471 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify 1 into 1 9.472 * [backup-simplify]: Simplify (/ 1 1) into 1 9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.474 * [backup-simplify]: Simplify (- 0) into 0 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 9.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (+ 0 0) into 0 9.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 9.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 9.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 9.477 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 9.477 * [taylor]: Taking taylor expansion of 3 in f 9.477 * [backup-simplify]: Simplify 3 into 3 9.477 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.477 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.477 * [taylor]: Taking taylor expansion of f in f 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 1 into 1 9.477 * [backup-simplify]: Simplify (* 1 1) into 1 9.477 * [backup-simplify]: Simplify (/ 1 1) into 1 9.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.482 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.482 * [backup-simplify]: Simplify 0 into 0 9.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.484 * [backup-simplify]: Simplify (- 0) into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify 0 into 0 9.484 * [backup-simplify]: Simplify (* (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) 9.484 * [approximate]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in (n f) around 0 9.484 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in f 9.484 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in f 9.484 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 9.484 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 9.485 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.485 * [taylor]: Taking taylor expansion of f in f 9.485 * [backup-simplify]: Simplify 0 into 0 9.485 * [backup-simplify]: Simplify 1 into 1 9.485 * [backup-simplify]: Simplify (/ 1 1) into 1 9.485 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.485 * [taylor]: Taking taylor expansion of n in f 9.485 * [backup-simplify]: Simplify n into n 9.485 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.485 * [backup-simplify]: Simplify (+ 1 0) into 1 9.485 * [taylor]: Taking taylor expansion of (pow n 2) in f 9.485 * [taylor]: Taking taylor expansion of n in f 9.485 * [backup-simplify]: Simplify n into n 9.485 * [backup-simplify]: Simplify (* 1 1) into 1 9.486 * [backup-simplify]: Simplify (* n n) into (pow n 2) 9.486 * [backup-simplify]: Simplify (* 1 (pow n 2)) into (pow n 2) 9.486 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 9.486 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.486 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.486 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.486 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.486 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.486 * [taylor]: Taking taylor expansion of f in n 9.486 * [backup-simplify]: Simplify f into f 9.486 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.486 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.486 * [taylor]: Taking taylor expansion of n in n 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 1 into 1 9.486 * [backup-simplify]: Simplify (/ 1 1) into 1 9.486 * [backup-simplify]: Simplify (+ 0 1) into 1 9.486 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.486 * [taylor]: Taking taylor expansion of n in n 9.486 * [backup-simplify]: Simplify 0 into 0 9.486 * [backup-simplify]: Simplify 1 into 1 9.487 * [backup-simplify]: Simplify (* 1 1) into 1 9.487 * [backup-simplify]: Simplify (* 1 1) into 1 9.487 * [backup-simplify]: Simplify (* 1 1) into 1 9.487 * [backup-simplify]: Simplify (/ 1 1) into 1 9.487 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2))) in n 9.487 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 f) (/ 1 n)) 2) (pow n 2)) in n 9.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 9.487 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 9.487 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.487 * [taylor]: Taking taylor expansion of f in n 9.488 * [backup-simplify]: Simplify f into f 9.488 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.488 * [taylor]: Taking taylor expansion of n in n 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (/ 1 1) into 1 9.488 * [backup-simplify]: Simplify (+ 0 1) into 1 9.488 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.488 * [taylor]: Taking taylor expansion of n in n 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (* 1 1) into 1 9.489 * [backup-simplify]: Simplify (* 1 1) into 1 9.489 * [backup-simplify]: Simplify (* 1 1) into 1 9.489 * [backup-simplify]: Simplify (/ 1 1) into 1 9.489 * [taylor]: Taking taylor expansion of 1 in f 9.489 * [backup-simplify]: Simplify 1 into 1 9.489 * [backup-simplify]: Simplify 0 into 0 9.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.490 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 9.490 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 9.491 * [backup-simplify]: Simplify (+ (* 1 0) (* (* 2 (/ 1 f)) 1)) into (* 2 (/ 1 f)) 9.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 2 (/ 1 f)) 1)))) into (- (* 2 (/ 1 f))) 9.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 9.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 9.491 * [taylor]: Taking taylor expansion of 2 in f 9.491 * [backup-simplify]: Simplify 2 into 2 9.491 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.491 * [taylor]: Taking taylor expansion of f in f 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify 1 into 1 9.491 * [backup-simplify]: Simplify (/ 1 1) into 1 9.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.495 * [backup-simplify]: Simplify (- 0) into 0 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 9.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.496 * [backup-simplify]: Simplify (+ 0 0) into 0 9.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 9.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 f)) 0) (* (/ 1 (pow f 2)) 1))) into (/ 1 (pow f 2)) 9.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow f 2)) 1)) (* (- (* 2 (/ 1 f))) (/ (* 2 (/ 1 f)) 1)))) into (* 3 (/ 1 (pow f 2))) 9.498 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow f 2))) in f 9.498 * [taylor]: Taking taylor expansion of 3 in f 9.498 * [backup-simplify]: Simplify 3 into 3 9.498 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 9.498 * [taylor]: Taking taylor expansion of (pow f 2) in f 9.498 * [taylor]: Taking taylor expansion of f in f 9.498 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify 1 into 1 9.498 * [backup-simplify]: Simplify (* 1 1) into 1 9.498 * [backup-simplify]: Simplify (/ 1 1) into 1 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.507 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.507 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.509 * [backup-simplify]: Simplify (- 0) into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 0 into 0 9.509 * * * [progress]: simplifying candidates 9.509 * * * * [progress]: [ 1 / 368 ] simplifiying candidate # 9.509 * * * * [progress]: [ 2 / 368 ] simplifiying candidate # 9.509 * * * * [progress]: [ 3 / 368 ] simplifiying candidate # 9.509 * * * * [progress]: [ 4 / 368 ] simplifiying candidate # 9.509 * * * * [progress]: [ 5 / 368 ] simplifiying candidate # 9.510 * * * * [progress]: [ 6 / 368 ] simplifiying candidate # 9.510 * * * * [progress]: [ 7 / 368 ] simplifiying candidate # 9.510 * * * * [progress]: [ 8 / 368 ] simplifiying candidate # 9.510 * * * * [progress]: [ 9 / 368 ] simplifiying 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candidate # 9.514 * * * * [progress]: [ 88 / 368 ] simplifiying candidate #real (real->posit16 (* (/ f (+ n f)) (/ f (+ n f)))))) (* (* (/ n (+ n f)) (/ n (+ n f))) (/ n (+ n f))))) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n)))))))> 9.514 * * * * [progress]: [ 89 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 90 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 91 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 92 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 93 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 94 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 95 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 96 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 97 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 98 / 368 ] simplifiying candidate # 9.514 * * * * [progress]: [ 99 / 368 ] simplifiying candidate # 9.514 * 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9.520 * * * * [progress]: [ 177 / 368 ] simplifiying candidate #real (real->posit16 (* (/ f (+ f n)) (/ f (+ f n))))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n)))))))> 9.520 * * * * [progress]: [ 178 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 179 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 180 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 181 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 182 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 183 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 184 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 185 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 186 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 187 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 188 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 189 / 368 ] simplifiying candidate # 9.520 * * * * [progress]: [ 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n (+ n f)) (/ n (+ n f))))) (/ n (+ n f))))) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n)))))))> 9.524 * * * * [progress]: [ 267 / 368 ] simplifiying candidate # 9.524 * * * * [progress]: [ 268 / 368 ] simplifiying candidate # 9.524 * * * * [progress]: [ 269 / 368 ] simplifiying candidate # 9.524 * * * * [progress]: [ 270 / 368 ] simplifiying candidate # 9.524 * * * * [progress]: [ 271 / 368 ] simplifiying candidate # 9.524 * * * * [progress]: [ 272 / 368 ] simplifiying candidate # 9.524 * * * * [progress]: [ 273 / 368 ] simplifiying candidate # 9.525 * * * * [progress]: [ 274 / 368 ] simplifiying candidate # 9.525 * * * * [progress]: [ 275 / 368 ] simplifiying candidate # 9.525 * * * * [progress]: [ 276 / 368 ] simplifiying candidate # 9.525 * * * * [progress]: [ 277 / 368 ] simplifiying candidate # 9.525 * * * * [progress]: [ 278 / 368 ] simplifiying candidate # 9.525 * * * * [progress]: [ 279 / 368 ] simplifiying candidate # 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9.527 * * * * [progress]: [ 326 / 368 ] simplifiying candidate # 9.527 * * * * [progress]: [ 327 / 368 ] simplifiying candidate # 9.527 * * * * [progress]: [ 328 / 368 ] simplifiying candidate # 9.527 * * * * [progress]: [ 329 / 368 ] simplifiying candidate # 9.527 * * * * [progress]: [ 330 / 368 ] simplifiying candidate # 9.527 * * * * [progress]: [ 331 / 368 ] simplifiying candidate # 9.527 * * * * [progress]: [ 332 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 333 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 334 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 335 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 336 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 337 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 338 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 339 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 340 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 341 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 342 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 343 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 344 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 345 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 346 / 368 ] simplifiying candidate # 9.528 * * * * [progress]: [ 347 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 348 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 349 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 350 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 351 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 352 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 353 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 354 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 355 / 368 ] simplifiying candidate #real (real->posit16 (* (/ n (+ f n)) (/ n (+ f n))))) (* (/ f (+ f n)) (/ n (+ f n)))))))> 9.529 * * * * [progress]: [ 356 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 357 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 358 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 359 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 360 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 361 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 362 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 363 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 364 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 365 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 366 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 367 / 368 ] simplifiying candidate # 9.529 * * * * [progress]: [ 368 / 368 ] simplifiying candidate # 9.533 * [simplify]: Simplifying (+ 1 1), (* (/ f (+ n f)) (/ f (+ n f))), (+ 1 1), (+ (- (log f) (log (+ n f))) 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f))), (/ (* (/ (cbrt n) (sqrt (+ n f))) n) (+ n f)), (/ (* (cbrt n) (/ n (+ n f))) (+ n f)), (/ (* (cbrt n) (/ n (+ n f))) (+ n f)), (/ (* (sqrt n) (/ n (+ n f))) (cbrt (+ n f))), (/ (* (sqrt n) (/ n (+ n f))) (sqrt (+ n f))), (* (/ (sqrt n) (+ n f)) (/ n (+ n f))), (* (/ (sqrt n) (+ n f)) (/ n (+ n f))), (/ (* n (/ n (+ n f))) (cbrt (+ n f))), (/ (* n (/ n (+ n f))) (sqrt (+ n f))), (* (/ n (+ n f)) (/ n (+ n f))), (* (/ n (+ n f)) (/ n (+ n f))), (* (/ n (+ n f)) (/ n (+ n f))), (* (/ 1 (+ n f)) (/ n (+ n f))), (/ (* (+ (* f f) (* n (- n f))) n) (+ n f)), (* (- f n) (/ n (+ n f))), (/ (* n n) (+ n f)), (/ (* n n) (+ n f)), (real->posit16 (* (/ n (+ n f)) (/ n (+ n f)))), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 10.094 * * * [progress]: adding candidates to table 15.271 * [progress]: [Phase 3 of 3] Extracting. 15.271 * * [regime]: Finding splitpoints for: (# # # #) 15.274 * * * [regime-changes]: Trying 3 branch expressions: (n f (/ (- (+ f n)) (- f n))) 15.275 * * * * [regimes]: Trying to branch on n from (# # # #) 15.332 * * * * [regimes]: Trying to branch on f from (# # # #) 15.365 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 15.393 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# #) 15.420 * * * [regime]: Found split indices: #