0.564 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.092 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.093 * * [simplify]: Extracting # 3 : cost 0 0.093 * * [simplify]: Extracting # 4 : cost 0 0.093 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.101 * * [simplify]: Extracting # 0 : cost 0 0.101 * * [simplify]: Extracting # 1 : cost 0 0.101 * * [simplify]: Extracting # 2 : cost 0 0.101 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: Extracting # 1 : cost 0 0.104 * * [simplify]: Extracting # 2 : cost 0 0.104 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.113 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.117 * * [simplify]: Extracting # 0 : cost 0 0.117 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.151 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.153 * * [progress]: iteration 1 / 4 0.153 * * * [progress]: picking best candidate 0.156 * * * * [pick]: Picked # 0.156 * * * [progress]: localizing error 0.166 * * * [progress]: generating rewritten candidates 0.166 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.251 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.251 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.252 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.252 * [taylor]: Taking taylor expansion of -1 in n 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.252 * [taylor]: Taking taylor expansion of (+ n f) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of f in n 0.252 * [backup-simplify]: Simplify f into f 0.253 * [taylor]: Taking taylor expansion of (- f n) in n 0.253 * [taylor]: Taking taylor expansion of f in n 0.253 * [backup-simplify]: Simplify f into f 0.253 * [taylor]: Taking taylor expansion of n in n 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ 0 f) into f 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ f 0) into f 0.254 * [backup-simplify]: Simplify (/ f f) into 1 0.254 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.254 * [taylor]: Taking taylor expansion of -1 in f 0.254 * [backup-simplify]: Simplify -1 into -1 0.254 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.254 * [taylor]: Taking taylor expansion of (+ n f) in f 0.254 * [taylor]: Taking taylor expansion of n in f 0.254 * [backup-simplify]: Simplify n into n 0.254 * [taylor]: Taking taylor expansion of f in f 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of (- f n) in f 0.255 * [taylor]: Taking taylor expansion of f in f 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of n in f 0.255 * [backup-simplify]: Simplify n into n 0.255 * [backup-simplify]: Simplify (+ n 0) into n 0.255 * [backup-simplify]: Simplify (- n) into (- n) 0.255 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.255 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.255 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.255 * [taylor]: Taking taylor expansion of -1 in f 0.255 * [backup-simplify]: Simplify -1 into -1 0.255 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.255 * [taylor]: Taking taylor expansion of (+ n f) in f 0.255 * [taylor]: Taking taylor expansion of n in f 0.255 * [backup-simplify]: Simplify n into n 0.255 * [taylor]: Taking taylor expansion of f in f 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of (- f n) in f 0.255 * [taylor]: Taking taylor expansion of f in f 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of n in f 0.255 * [backup-simplify]: Simplify n into n 0.255 * [backup-simplify]: Simplify (+ n 0) into n 0.256 * [backup-simplify]: Simplify (- n) into (- n) 0.256 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.256 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.258 * [backup-simplify]: Simplify (* -1 -1) into 1 0.258 * [taylor]: Taking taylor expansion of 1 in n 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.261 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.261 * [taylor]: Taking taylor expansion of 2 in n 0.261 * [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 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.266 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.266 * [taylor]: Taking taylor expansion of 2 in n 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.266 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [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)))) 0.288 * [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))) 0.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.288 * [taylor]: Taking taylor expansion of 2 in n 0.288 * [backup-simplify]: Simplify 2 into 2 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.288 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.299 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.299 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.299 * [taylor]: Taking taylor expansion of -1 in n 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.299 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.299 * [taylor]: Taking taylor expansion of f in n 0.299 * [backup-simplify]: Simplify f into f 0.299 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.300 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.300 * [taylor]: Taking taylor expansion of f in n 0.300 * [backup-simplify]: Simplify f into f 0.300 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (- 1) into -1 0.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.302 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.302 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.302 * [taylor]: Taking taylor expansion of -1 in f 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.302 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.302 * [taylor]: Taking taylor expansion of f in f 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.303 * [taylor]: Taking taylor expansion of n in f 0.303 * [backup-simplify]: Simplify n into n 0.303 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.303 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.303 * [taylor]: Taking taylor expansion of f in f 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.303 * [taylor]: Taking taylor expansion of n in f 0.303 * [backup-simplify]: Simplify n into n 0.304 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.305 * [taylor]: Taking taylor expansion of -1 in f 0.305 * [backup-simplify]: Simplify -1 into -1 0.305 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.305 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.305 * [taylor]: Taking taylor expansion of f in f 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.305 * [taylor]: Taking taylor expansion of n in f 0.305 * [backup-simplify]: Simplify n into n 0.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.306 * [taylor]: Taking taylor expansion of f in f 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.306 * [taylor]: Taking taylor expansion of n in f 0.306 * [backup-simplify]: Simplify n into n 0.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (* -1 1) into -1 0.308 * [taylor]: Taking taylor expansion of -1 in n 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [backup-simplify]: Simplify -1 into -1 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.310 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.310 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.311 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.311 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) 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 n) 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 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.316 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.316 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.316 * [taylor]: Taking taylor expansion of 2 in n 0.317 * [backup-simplify]: Simplify 2 into 2 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.317 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.317 * [taylor]: Taking taylor expansion of n in n 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [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))) 0.325 * [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)))) 0.325 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.325 * [taylor]: Taking taylor expansion of 2 in n 0.325 * [backup-simplify]: Simplify 2 into 2 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.325 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.331 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [backup-simplify]: Simplify f into f 0.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 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) (/ 1 f)) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 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 f) in n 0.332 * [taylor]: Taking taylor expansion of f in n 0.332 * [backup-simplify]: Simplify f into f 0.332 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.333 * [taylor]: Taking taylor expansion of f in f 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.334 * [backup-simplify]: Simplify n into n 0.334 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 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 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.335 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 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 0.335 * [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 n) (/ 1 f)) in f 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) 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.337 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.337 * [taylor]: Taking taylor expansion of -1 in n 0.337 * [backup-simplify]: Simplify -1 into -1 0.337 * [backup-simplify]: Simplify -1 into -1 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.339 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.339 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.339 * [taylor]: Taking taylor expansion of 2 in n 0.339 * [backup-simplify]: Simplify 2 into 2 0.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.343 * [taylor]: Taking taylor expansion of 2 in n 0.343 * [backup-simplify]: Simplify 2 into 2 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.354 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.355 * [taylor]: Taking taylor expansion of 2 in n 0.355 * [backup-simplify]: Simplify 2 into 2 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.355 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.355 * [taylor]: Taking taylor expansion of n in n 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify -1 into -1 0.366 * * * [progress]: simplifying candidates 0.369 * [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)) 1 -1 -1 0.374 * * [simplify]: Extracting # 0 : cost 0 0.374 * * [simplify]: Extracting # 1 : cost 0 0.374 * * [simplify]: Extracting # 2 : cost 0 0.375 * * [simplify]: Extracting # 3 : cost 0 0.375 * * [simplify]: Extracting # 4 : cost 0 0.375 * * [simplify]: Extracting # 5 : cost 0 0.376 * * [simplify]: Extracting # 6 : cost 0 0.376 * * [simplify]: Extracting # 7 : cost 0 0.376 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.443 * * [simplify]: Extracting # 0 : cost 0 0.443 * * [simplify]: Extracting # 1 : cost 0 0.444 * * [simplify]: Extracting # 2 : cost 0 0.444 * * [simplify]: Extracting # 3 : cost 0 0.445 * * [simplify]: Extracting # 4 : cost 0 0.445 * * [simplify]: iteration 1 : 287 enodes (cost 1378 ) 0.523 * * [simplify]: Extracting # 0 : cost 0 0.525 * * [simplify]: Extracting # 1 : cost 0 0.529 * * [simplify]: Extracting # 2 : cost 0 0.530 * * [simplify]: Extracting # 3 : cost 0 0.531 * * [simplify]: Extracting # 4 : cost 0 0.531 * * [simplify]: iteration 2 : 690 enodes (cost 1348 ) 0.876 * * [simplify]: Extracting # 0 : cost 0 0.879 * * [simplify]: Extracting # 1 : cost 0 0.883 * * [simplify]: Extracting # 2 : cost 0 0.886 * * [simplify]: Extracting # 3 : cost 0 0.889 * * [simplify]: iteration 3 : 1825 enodes (cost 1340 ) 2.719 * * [simplify]: Extracting # 0 : cost 0 2.732 * * [simplify]: Extracting # 1 : cost 0 2.742 * * [simplify]: Extracting # 2 : cost 0 2.749 * * [simplify]: Extracting # 3 : cost 0 2.756 * * [simplify]: iteration 4 : 4716 enodes (cost 1340 ) 4.192 * * [simplify]: Extracting # 0 : cost 0 4.196 * * [simplify]: Extracting # 1 : cost 0 4.201 * * [simplify]: Extracting # 2 : cost 0 4.213 * * [simplify]: iteration done: 5001 enodes (cost 1340 ) 4.214 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 4.215 * * * [progress]: adding candidates to table 4.417 * * [progress]: iteration 2 / 4 4.417 * * * [progress]: picking best candidate 4.422 * * * * [pick]: Picked # 4.423 * * * [progress]: localizing error 4.431 * * * [progress]: generating rewritten candidates 4.431 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.482 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.572 * * * [progress]: generating series expansions 4.572 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.573 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 4.573 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 4.573 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 4.573 * [taylor]: Taking taylor expansion of -1 in n 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 4.573 * [taylor]: Taking taylor expansion of (- f n) in n 4.573 * [taylor]: Taking taylor expansion of f in n 4.573 * [backup-simplify]: Simplify f into f 4.573 * [taylor]: Taking taylor expansion of n in n 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.573 * [taylor]: Taking taylor expansion of (+ n f) in n 4.573 * [taylor]: Taking taylor expansion of n in n 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.573 * [taylor]: Taking taylor expansion of f in n 4.573 * [backup-simplify]: Simplify f into f 4.574 * [backup-simplify]: Simplify (- 0) into 0 4.574 * [backup-simplify]: Simplify (+ f 0) into f 4.574 * [backup-simplify]: Simplify (+ 0 f) into f 4.574 * [backup-simplify]: Simplify (/ f f) into 1 4.574 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 4.574 * [taylor]: Taking taylor expansion of -1 in f 4.574 * [backup-simplify]: Simplify -1 into -1 4.574 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.574 * [taylor]: Taking taylor expansion of (- f n) in f 4.574 * [taylor]: Taking taylor expansion of f in f 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [taylor]: Taking taylor expansion of n in f 4.574 * [backup-simplify]: Simplify n into n 4.574 * [taylor]: Taking taylor expansion of (+ n f) in f 4.574 * [taylor]: Taking taylor expansion of n in f 4.574 * [backup-simplify]: Simplify n into n 4.574 * [taylor]: Taking taylor expansion of f in f 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (- n) into (- n) 4.575 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.575 * [backup-simplify]: Simplify (+ n 0) into n 4.575 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.575 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 4.575 * [taylor]: Taking taylor expansion of -1 in f 4.575 * [backup-simplify]: Simplify -1 into -1 4.575 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 4.575 * [taylor]: Taking taylor expansion of (- f n) in f 4.575 * [taylor]: Taking taylor expansion of f in f 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of n in f 4.575 * [backup-simplify]: Simplify n into n 4.575 * [taylor]: Taking taylor expansion of (+ n f) in f 4.575 * [taylor]: Taking taylor expansion of n in f 4.575 * [backup-simplify]: Simplify n into n 4.575 * [taylor]: Taking taylor expansion of f in f 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (- n) into (- n) 4.575 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.575 * [backup-simplify]: Simplify (+ n 0) into n 4.575 * [backup-simplify]: Simplify (/ (- n) n) into -1 4.576 * [backup-simplify]: Simplify (* -1 -1) into 1 4.576 * [taylor]: Taking taylor expansion of 1 in n 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (- 0) into 0 4.577 * [backup-simplify]: Simplify (+ 1 0) into 1 4.577 * [backup-simplify]: Simplify (+ 0 1) into 1 4.578 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 4.578 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 4.578 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.578 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.578 * [taylor]: Taking taylor expansion of 2 in n 4.578 * [backup-simplify]: Simplify 2 into 2 4.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.578 * [taylor]: Taking taylor expansion of n in n 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.581 * [backup-simplify]: Simplify (- 0) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify (- 0) into 0 4.581 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 4.583 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.583 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.583 * [taylor]: Taking taylor expansion of 2 in n 4.583 * [backup-simplify]: Simplify 2 into 2 4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.583 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.583 * [taylor]: Taking taylor expansion of n in n 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (* 1 1) into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.591 * [backup-simplify]: Simplify (- 0) into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (- 0) into 0 4.592 * [backup-simplify]: Simplify (+ 0 0) into 0 4.592 * [backup-simplify]: Simplify (+ 0 0) into 0 4.593 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 4.594 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.594 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.594 * [taylor]: Taking taylor expansion of 2 in n 4.594 * [backup-simplify]: Simplify 2 into 2 4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.594 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.594 * [taylor]: Taking taylor expansion of n in n 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (- 0) into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 4.606 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 4.606 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 4.606 * [taylor]: Taking taylor expansion of -1 in n 4.606 * [backup-simplify]: Simplify -1 into -1 4.606 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 4.606 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.606 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.606 * [taylor]: Taking taylor expansion of f in n 4.606 * [backup-simplify]: Simplify f into f 4.606 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.606 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.606 * [taylor]: Taking taylor expansion of n in n 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.607 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.607 * [taylor]: Taking taylor expansion of f in n 4.607 * [backup-simplify]: Simplify f into f 4.607 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.607 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.607 * [taylor]: Taking taylor expansion of n in n 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.608 * [backup-simplify]: Simplify (- 1) into -1 4.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.609 * [backup-simplify]: Simplify (+ 0 1) into 1 4.609 * [backup-simplify]: Simplify (/ -1 1) into -1 4.609 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 4.609 * [taylor]: Taking taylor expansion of -1 in f 4.609 * [backup-simplify]: Simplify -1 into -1 4.609 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.609 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.609 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.609 * [taylor]: Taking taylor expansion of f in f 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.610 * [taylor]: Taking taylor expansion of n in f 4.610 * [backup-simplify]: Simplify n into n 4.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.610 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.610 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.610 * [taylor]: Taking taylor expansion of f in f 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.611 * [backup-simplify]: Simplify (/ 1 1) into 1 4.611 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.611 * [taylor]: Taking taylor expansion of n in f 4.611 * [backup-simplify]: Simplify n into n 4.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.611 * [backup-simplify]: Simplify (+ 1 0) into 1 4.612 * [backup-simplify]: Simplify (+ 1 0) into 1 4.612 * [backup-simplify]: Simplify (/ 1 1) into 1 4.612 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 4.612 * [taylor]: Taking taylor expansion of -1 in f 4.612 * [backup-simplify]: Simplify -1 into -1 4.612 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 4.612 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.612 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.612 * [taylor]: Taking taylor expansion of f in f 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (/ 1 1) into 1 4.613 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.613 * [taylor]: Taking taylor expansion of n in f 4.613 * [backup-simplify]: Simplify n into n 4.613 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.613 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.613 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.613 * [taylor]: Taking taylor expansion of f in f 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (/ 1 1) into 1 4.613 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.613 * [taylor]: Taking taylor expansion of n in f 4.613 * [backup-simplify]: Simplify n into n 4.614 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.614 * [backup-simplify]: Simplify (+ 1 0) into 1 4.614 * [backup-simplify]: Simplify (+ 1 0) into 1 4.615 * [backup-simplify]: Simplify (/ 1 1) into 1 4.615 * [backup-simplify]: Simplify (* -1 1) into -1 4.615 * [taylor]: Taking taylor expansion of -1 in n 4.615 * [backup-simplify]: Simplify -1 into -1 4.615 * [backup-simplify]: Simplify -1 into -1 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.616 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.618 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 4.618 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 4.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.618 * [taylor]: Taking taylor expansion of 2 in n 4.618 * [backup-simplify]: Simplify 2 into 2 4.618 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.618 * [taylor]: Taking taylor expansion of n in n 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (/ 1 1) into 1 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.622 * [backup-simplify]: Simplify (- 0) into 0 4.622 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.624 * [backup-simplify]: Simplify (+ 0 0) into 0 4.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 4.626 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.626 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.626 * [taylor]: Taking taylor expansion of 2 in n 4.626 * [backup-simplify]: Simplify 2 into 2 4.626 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.626 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.626 * [taylor]: Taking taylor expansion of n in n 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.627 * [backup-simplify]: Simplify (* 1 1) into 1 4.627 * [backup-simplify]: Simplify (/ 1 1) into 1 4.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.632 * [backup-simplify]: Simplify (- 0) into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.645 * [backup-simplify]: Simplify (- 0) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.650 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (* 2 (/ 1 (pow n 3))) 4.650 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.650 * [taylor]: Taking taylor expansion of 2 in n 4.650 * [backup-simplify]: Simplify 2 into 2 4.650 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.650 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.650 * [taylor]: Taking taylor expansion of n in n 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (* 1 1) into 1 4.650 * [backup-simplify]: Simplify (* 1 1) into 1 4.650 * [backup-simplify]: Simplify (/ 1 1) into 1 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify -1 into -1 4.657 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 4.657 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 4.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 4.657 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.657 * [taylor]: Taking taylor expansion of n in n 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify (/ 1 1) into 1 4.658 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.658 * [taylor]: Taking taylor expansion of f in n 4.658 * [backup-simplify]: Simplify f into f 4.658 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.658 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.658 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.658 * [taylor]: Taking taylor expansion of f in n 4.658 * [backup-simplify]: Simplify f into f 4.658 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.658 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.658 * [taylor]: Taking taylor expansion of n in n 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify (/ 1 1) into 1 4.659 * [backup-simplify]: Simplify (+ 1 0) into 1 4.659 * [backup-simplify]: Simplify (+ 0 1) into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.660 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.660 * [taylor]: Taking taylor expansion of n in f 4.660 * [backup-simplify]: Simplify n into n 4.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.660 * [taylor]: Taking taylor expansion of f in f 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.661 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.661 * [taylor]: Taking taylor expansion of f in f 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.661 * [taylor]: Taking taylor expansion of n in f 4.661 * [backup-simplify]: Simplify n into n 4.661 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.662 * [backup-simplify]: Simplify (- 1) into -1 4.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.662 * [backup-simplify]: Simplify (+ 1 0) into 1 4.663 * [backup-simplify]: Simplify (/ -1 1) into -1 4.663 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 4.663 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.663 * [taylor]: Taking taylor expansion of n in f 4.663 * [backup-simplify]: Simplify n into n 4.663 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.663 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.663 * [taylor]: Taking taylor expansion of f in f 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (/ 1 1) into 1 4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.664 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.664 * [taylor]: Taking taylor expansion of f in f 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (/ 1 1) into 1 4.664 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.664 * [taylor]: Taking taylor expansion of n in f 4.664 * [backup-simplify]: Simplify n into n 4.664 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.665 * [backup-simplify]: Simplify (- 1) into -1 4.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.665 * [backup-simplify]: Simplify (+ 1 0) into 1 4.666 * [backup-simplify]: Simplify (/ -1 1) into -1 4.666 * [taylor]: Taking taylor expansion of -1 in n 4.666 * [backup-simplify]: Simplify -1 into -1 4.666 * [backup-simplify]: Simplify -1 into -1 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.667 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.668 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 4.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.668 * [taylor]: Taking taylor expansion of 2 in n 4.668 * [backup-simplify]: Simplify 2 into 2 4.668 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.668 * [taylor]: Taking taylor expansion of n in n 4.668 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (- 0) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.675 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.675 * [taylor]: Taking taylor expansion of 2 in n 4.675 * [backup-simplify]: Simplify 2 into 2 4.675 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.675 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.675 * [taylor]: Taking taylor expansion of n in n 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.681 * [backup-simplify]: Simplify (- 0) into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (- 0) into 0 4.684 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.686 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 4.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.688 * [taylor]: Taking taylor expansion of 2 in n 4.688 * [backup-simplify]: Simplify 2 into 2 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.688 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.688 * [taylor]: Taking taylor expansion of n in n 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (* 1 1) into 1 4.689 * [backup-simplify]: Simplify (* 1 1) into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify -1 into -1 4.698 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.698 * [backup-simplify]: Simplify (/ 1 (/ (- f n) (- (+ f n)))) into (* -1 (/ (+ n f) (- f n))) 4.698 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.698 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.698 * [taylor]: Taking taylor expansion of -1 in n 4.698 * [backup-simplify]: Simplify -1 into -1 4.698 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.698 * [taylor]: Taking taylor expansion of (+ n f) in n 4.698 * [taylor]: Taking taylor expansion of n in n 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [taylor]: Taking taylor expansion of f in n 4.698 * [backup-simplify]: Simplify f into f 4.698 * [taylor]: Taking taylor expansion of (- f n) in n 4.698 * [taylor]: Taking taylor expansion of f in n 4.698 * [backup-simplify]: Simplify f into f 4.698 * [taylor]: Taking taylor expansion of n in n 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (+ 0 f) into f 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify (+ f 0) into f 4.699 * [backup-simplify]: Simplify (/ f f) into 1 4.699 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.699 * [taylor]: Taking taylor expansion of -1 in f 4.699 * [backup-simplify]: Simplify -1 into -1 4.699 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.699 * [taylor]: Taking taylor expansion of (+ n f) in f 4.699 * [taylor]: Taking taylor expansion of n in f 4.699 * [backup-simplify]: Simplify n into n 4.699 * [taylor]: Taking taylor expansion of f in f 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of (- f n) in f 4.699 * [taylor]: Taking taylor expansion of f in f 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of n in f 4.699 * [backup-simplify]: Simplify n into n 4.699 * [backup-simplify]: Simplify (+ n 0) into n 4.699 * [backup-simplify]: Simplify (- n) into (- n) 4.699 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.699 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.699 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.699 * [taylor]: Taking taylor expansion of -1 in f 4.699 * [backup-simplify]: Simplify -1 into -1 4.699 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.699 * [taylor]: Taking taylor expansion of (+ n f) in f 4.699 * [taylor]: Taking taylor expansion of n in f 4.699 * [backup-simplify]: Simplify n into n 4.699 * [taylor]: Taking taylor expansion of f in f 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of (- f n) in f 4.699 * [taylor]: Taking taylor expansion of f in f 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of n in f 4.699 * [backup-simplify]: Simplify n into n 4.699 * [backup-simplify]: Simplify (+ n 0) into n 4.699 * [backup-simplify]: Simplify (- n) into (- n) 4.699 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.699 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.700 * [backup-simplify]: Simplify (* -1 -1) into 1 4.700 * [taylor]: Taking taylor expansion of 1 in n 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify (+ 0 1) into 1 4.700 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify (+ 1 0) into 1 4.701 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.701 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.701 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.701 * [taylor]: Taking taylor expansion of 2 in n 4.701 * [backup-simplify]: Simplify 2 into 2 4.701 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.701 * [taylor]: Taking taylor expansion of n in n 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (/ 1 1) into 1 4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify (- 0) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.704 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.704 * [taylor]: Taking taylor expansion of 2 in n 4.704 * [backup-simplify]: Simplify 2 into 2 4.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.704 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.704 * [taylor]: Taking taylor expansion of n in n 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (* 1 1) into 1 4.705 * [backup-simplify]: Simplify (/ 1 1) into 1 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.707 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (- 0) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.710 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.710 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.711 * [taylor]: Taking taylor expansion of 2 in n 4.711 * [backup-simplify]: Simplify 2 into 2 4.711 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.711 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.711 * [taylor]: Taking taylor expansion of n in n 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (* 1 1) into 1 4.711 * [backup-simplify]: Simplify (* 1 1) into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.717 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.717 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.717 * [taylor]: Taking taylor expansion of -1 in n 4.717 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.717 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.717 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.717 * [taylor]: Taking taylor expansion of f in n 4.717 * [backup-simplify]: Simplify f into f 4.717 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.717 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.717 * [taylor]: Taking taylor expansion of n in n 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ 1 1) into 1 4.717 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.717 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.717 * [taylor]: Taking taylor expansion of f in n 4.717 * [backup-simplify]: Simplify f into f 4.717 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.717 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.717 * [taylor]: Taking taylor expansion of n in n 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.718 * [backup-simplify]: Simplify (/ 1 1) into 1 4.718 * [backup-simplify]: Simplify (+ 0 1) into 1 4.718 * [backup-simplify]: Simplify (- 1) into -1 4.718 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.719 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.719 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.719 * [taylor]: Taking taylor expansion of -1 in f 4.719 * [backup-simplify]: Simplify -1 into -1 4.719 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.719 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.719 * [taylor]: Taking taylor expansion of f in f 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.719 * [taylor]: Taking taylor expansion of n in f 4.719 * [backup-simplify]: Simplify n into n 4.719 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.719 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.719 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.719 * [taylor]: Taking taylor expansion of f in f 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.719 * [taylor]: Taking taylor expansion of n in f 4.720 * [backup-simplify]: Simplify n into n 4.720 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.720 * [backup-simplify]: Simplify (+ 1 0) into 1 4.720 * [backup-simplify]: Simplify (+ 1 0) into 1 4.720 * [backup-simplify]: Simplify (/ 1 1) into 1 4.720 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.720 * [taylor]: Taking taylor expansion of -1 in f 4.720 * [backup-simplify]: Simplify -1 into -1 4.720 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.720 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.720 * [taylor]: Taking taylor expansion of f in f 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.721 * [taylor]: Taking taylor expansion of n in f 4.721 * [backup-simplify]: Simplify n into n 4.721 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.721 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.721 * [taylor]: Taking taylor expansion of f in f 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.721 * [taylor]: Taking taylor expansion of n in f 4.721 * [backup-simplify]: Simplify n into n 4.721 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.722 * [backup-simplify]: Simplify (+ 1 0) into 1 4.722 * [backup-simplify]: Simplify (+ 1 0) into 1 4.722 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [backup-simplify]: Simplify (* -1 1) into -1 4.723 * [taylor]: Taking taylor expansion of -1 in n 4.723 * [backup-simplify]: Simplify -1 into -1 4.723 * [backup-simplify]: Simplify -1 into -1 4.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.724 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.724 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.725 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.725 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.725 * [taylor]: Taking taylor expansion of 2 in n 4.725 * [backup-simplify]: Simplify 2 into 2 4.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.725 * [taylor]: Taking taylor expansion of n in n 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.725 * [backup-simplify]: Simplify (/ 1 1) into 1 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.726 * [backup-simplify]: Simplify (- 0) into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.727 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.728 * [backup-simplify]: Simplify (- 0) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.730 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.730 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.730 * [taylor]: Taking taylor expansion of 2 in n 4.730 * [backup-simplify]: Simplify 2 into 2 4.730 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.730 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.730 * [taylor]: Taking taylor expansion of n in n 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.733 * [backup-simplify]: Simplify (- 0) into 0 4.733 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.735 * [backup-simplify]: Simplify (- 0) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.737 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.738 * [backup-simplify]: Simplify (- 0) into 0 4.739 * [backup-simplify]: Simplify (+ 0 0) into 0 4.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.742 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.742 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.742 * [taylor]: Taking taylor expansion of 2 in n 4.742 * [backup-simplify]: Simplify 2 into 2 4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.742 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.742 * [taylor]: Taking taylor expansion of n in n 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (* 1 1) into 1 4.743 * [backup-simplify]: Simplify (* 1 1) into 1 4.743 * [backup-simplify]: Simplify (/ 1 1) into 1 4.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (- 0) into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify -1 into -1 4.753 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.753 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.753 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.753 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.753 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.753 * [taylor]: Taking taylor expansion of f in n 4.753 * [backup-simplify]: Simplify f into f 4.753 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.753 * [taylor]: Taking taylor expansion of n in n 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ 1 1) into 1 4.754 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.754 * [taylor]: Taking taylor expansion of n in n 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ 1 1) into 1 4.754 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.754 * [taylor]: Taking taylor expansion of f in n 4.754 * [backup-simplify]: Simplify f into f 4.754 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.755 * [backup-simplify]: Simplify (+ 0 1) into 1 4.755 * [backup-simplify]: Simplify (+ 1 0) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.756 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.756 * [taylor]: Taking taylor expansion of f in f 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.756 * [taylor]: Taking taylor expansion of n in f 4.756 * [backup-simplify]: Simplify n into n 4.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.756 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.756 * [taylor]: Taking taylor expansion of n in f 4.756 * [backup-simplify]: Simplify n into n 4.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.756 * [taylor]: Taking taylor expansion of f in f 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.758 * [backup-simplify]: Simplify (- 1) into -1 4.758 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.758 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.758 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.759 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.759 * [taylor]: Taking taylor expansion of f in f 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (/ 1 1) into 1 4.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.759 * [taylor]: Taking taylor expansion of n in f 4.759 * [backup-simplify]: Simplify n into n 4.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.759 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.759 * [taylor]: Taking taylor expansion of n in f 4.759 * [backup-simplify]: Simplify n into n 4.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.759 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.759 * [taylor]: Taking taylor expansion of f in f 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (/ 1 1) into 1 4.760 * [backup-simplify]: Simplify (+ 1 0) into 1 4.761 * [backup-simplify]: Simplify (- 1) into -1 4.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.761 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.761 * [taylor]: Taking taylor expansion of -1 in n 4.762 * [backup-simplify]: Simplify -1 into -1 4.762 * [backup-simplify]: Simplify -1 into -1 4.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (- 0) into 0 4.764 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.764 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.764 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.764 * [taylor]: Taking taylor expansion of 2 in n 4.764 * [backup-simplify]: Simplify 2 into 2 4.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.764 * [taylor]: Taking taylor expansion of n in n 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [backup-simplify]: Simplify (/ 1 1) into 1 4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.773 * [backup-simplify]: Simplify (- 0) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.776 * [backup-simplify]: Simplify (- 0) into 0 4.776 * [backup-simplify]: Simplify (+ 0 0) into 0 4.778 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.778 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.778 * [taylor]: Taking taylor expansion of 2 in n 4.778 * [backup-simplify]: Simplify 2 into 2 4.778 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.778 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.778 * [taylor]: Taking taylor expansion of n in n 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (* 1 1) into 1 4.779 * [backup-simplify]: Simplify (/ 1 1) into 1 4.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.783 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (- 0) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.790 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.790 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.790 * [taylor]: Taking taylor expansion of 2 in n 4.790 * [backup-simplify]: Simplify 2 into 2 4.790 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.790 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.790 * [taylor]: Taking taylor expansion of n in n 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.791 * [backup-simplify]: Simplify (* 1 1) into 1 4.791 * [backup-simplify]: Simplify (* 1 1) into 1 4.791 * [backup-simplify]: Simplify (/ 1 1) into 1 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.797 * [backup-simplify]: Simplify (- 0) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * * * [progress]: simplifying candidates 4.805 * [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)))) (/ 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(+ 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 (/ (+ (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 (/ (+ (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 (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ 1 (/ 1 (- (sqrt (+ f n))))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (- 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)) 1 -1 -1 1 -1 -1 4.816 * * [simplify]: Extracting # 0 : cost 0 4.817 * * [simplify]: Extracting # 1 : cost 0 4.817 * * [simplify]: Extracting # 2 : cost 0 4.818 * * [simplify]: Extracting # 3 : cost 0 4.819 * * [simplify]: Extracting # 4 : cost 0 4.819 * * [simplify]: Extracting # 5 : cost 0 4.820 * * [simplify]: Extracting # 6 : cost 0 4.821 * * [simplify]: Extracting # 7 : cost 0 4.821 * * [simplify]: Extracting # 8 : cost 0 4.822 * * [simplify]: Extracting # 9 : cost 0 4.823 * * [simplify]: iteration 0 : 389 enodes (cost 7352 ) 5.124 * * [simplify]: Extracting # 0 : cost 0 5.126 * * [simplify]: Extracting # 1 : cost 0 5.128 * * [simplify]: Extracting # 2 : cost 0 5.129 * * [simplify]: Extracting # 3 : cost 0 5.131 * * [simplify]: Extracting # 4 : cost 0 5.133 * * [simplify]: iteration 1 : 909 enodes (cost 6269 ) 5.421 * * [simplify]: Extracting # 0 : cost 0 5.426 * * [simplify]: Extracting # 1 : cost 0 5.430 * * [simplify]: Extracting # 2 : cost 0 5.434 * * [simplify]: Extracting # 3 : cost 0 5.437 * * [simplify]: Extracting # 4 : cost 0 5.441 * * [simplify]: iteration 2 : 1956 enodes (cost 5670 ) 6.734 * * [simplify]: Extracting # 0 : cost 0 6.739 * * [simplify]: Extracting # 1 : cost 0 6.750 * * [simplify]: Extracting # 2 : cost 0 6.755 * * [simplify]: Extracting # 3 : cost 0 6.760 * * [simplify]: Extracting # 4 : cost 0 6.764 * * [simplify]: iteration done: 5000 enodes (cost 5553 ) 6.768 * [simplify]: Simplified to: (log (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- n f) (+ n f) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (cbrt (- f 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f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ n f)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ n f)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (+ (* n (- n f)) (* f f))) (/ (* (+ f n) (- n f)) (- f n)) (/ 1 (- f n)) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ (* (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))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- 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))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- 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)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- 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) (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) (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)) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ n f)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ n f)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (+ (* n (- n f)) (* f f))) (/ (* (+ f n) (- n f)) (- f n)) (/ 1 (- f n)) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ (* (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))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- 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))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- 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)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- 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) (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) (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)) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ n f)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) (* (- (cbrt (+ f n))) (cbrt (+ f n))) (/ (cbrt (+ n f)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ n f)) (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (+ (* n (- n f)) (* f f))) (/ (* (+ f n) (- n f)) (- f n)) (/ 1 (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ f n))) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- (+ f n))) 1 -1 (* (- (cbrt (+ f n))) (cbrt (+ f n))) (- (sqrt (+ f n))) -1 -1 (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (* (- (cbrt (+ f n))) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- (+ f n))) 1 -1 (* (- (cbrt (+ f n))) (cbrt (+ f n))) (- (sqrt (+ f n))) -1 -1 (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 1 (/ 1 (- f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ (* (+ f n) (- n f)) (- f n)) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ 1 (- f n)) 1 -1 -1 1 -1 -1 6.774 * * * [progress]: adding candidates to table 7.404 * * [progress]: iteration 3 / 4 7.404 * * * [progress]: picking best candidate 7.408 * * * * [pick]: Picked # 7.408 * * * [progress]: localizing error 7.417 * * * [progress]: generating rewritten candidates 7.417 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.478 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.679 * * * [progress]: generating series expansions 7.679 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.680 * [backup-simplify]: Simplify (/ (- (sqrt (+ f n))) (- f n)) into (* -1 (* (sqrt (+ n f)) (/ 1 (- f n)))) 7.680 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ n f)) (/ 1 (- f n)))) in (f n) around 0 7.680 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ n f)) (/ 1 (- f n)))) in n 7.680 * [taylor]: Taking taylor expansion of -1 in n 7.680 * [backup-simplify]: Simplify -1 into -1 7.680 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in n 7.680 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 7.680 * [taylor]: Taking taylor expansion of (+ n f) in n 7.680 * [taylor]: Taking taylor expansion of n in n 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 1 into 1 7.680 * [taylor]: Taking taylor expansion of f in n 7.680 * [backup-simplify]: Simplify f into f 7.680 * [backup-simplify]: Simplify (+ 0 f) into f 7.680 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 7.681 * [backup-simplify]: Simplify (+ 1 0) into 1 7.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 7.681 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 7.681 * [taylor]: Taking taylor expansion of (- f n) in n 7.682 * [taylor]: Taking taylor expansion of f in n 7.682 * [backup-simplify]: Simplify f into f 7.682 * [taylor]: Taking taylor expansion of n in n 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify (+ f 0) into f 7.682 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.682 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ n f)) (/ 1 (- f n)))) in f 7.682 * [taylor]: Taking taylor expansion of -1 in f 7.682 * [backup-simplify]: Simplify -1 into -1 7.682 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 7.682 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 7.682 * [taylor]: Taking taylor expansion of (+ n f) in f 7.682 * [taylor]: Taking taylor expansion of n in f 7.682 * [backup-simplify]: Simplify n into n 7.682 * [taylor]: Taking taylor expansion of f in f 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [backup-simplify]: Simplify (+ n 0) into n 7.683 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 7.683 * [backup-simplify]: Simplify (+ 0 1) into 1 7.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 7.683 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 7.683 * [taylor]: Taking taylor expansion of (- f n) in f 7.683 * [taylor]: Taking taylor expansion of f in f 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [taylor]: Taking taylor expansion of n in f 7.683 * [backup-simplify]: Simplify n into n 7.683 * [backup-simplify]: Simplify (- n) into (- n) 7.684 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.684 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.684 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ n f)) (/ 1 (- f n)))) in f 7.684 * [taylor]: Taking taylor expansion of -1 in f 7.684 * [backup-simplify]: Simplify -1 into -1 7.684 * [taylor]: Taking taylor expansion of (* (sqrt (+ n f)) (/ 1 (- f n))) in f 7.684 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 7.684 * [taylor]: Taking taylor expansion of (+ n f) in f 7.684 * [taylor]: Taking taylor expansion of n in f 7.684 * [backup-simplify]: Simplify n into n 7.684 * [taylor]: Taking taylor expansion of f in f 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (+ n 0) into n 7.684 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 7.685 * [backup-simplify]: Simplify (+ 0 1) into 1 7.685 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 7.685 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 7.685 * [taylor]: Taking taylor expansion of (- f n) in f 7.685 * [taylor]: Taking taylor expansion of f in f 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [taylor]: Taking taylor expansion of n in f 7.685 * [backup-simplify]: Simplify n into n 7.685 * [backup-simplify]: Simplify (- n) into (- n) 7.685 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.685 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.686 * [backup-simplify]: Simplify (* (sqrt n) (/ -1 n)) into (* -1 (sqrt (/ 1 n))) 7.686 * [backup-simplify]: Simplify (* -1 (* -1 (sqrt (/ 1 n)))) into (sqrt (/ 1 n)) 7.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 7.686 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.686 * [taylor]: Taking taylor expansion of n in n 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [backup-simplify]: Simplify (sqrt 0) into 0 7.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.689 * [backup-simplify]: Simplify (- 0) into 0 7.689 * [backup-simplify]: Simplify (+ 1 0) into 1 7.689 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.690 * [backup-simplify]: Simplify (+ (* (sqrt n) (- (/ 1 (pow n 2)))) (* (* 1/2 (sqrt (/ 1 n))) (/ -1 n))) into (- (* 3/2 (sqrt (/ 1 (pow n 3))))) 7.690 * [backup-simplify]: Simplify (+ (* -1 (- (* 3/2 (sqrt (/ 1 (pow n 3)))))) (* 0 (* -1 (sqrt (/ 1 n))))) into (* 3/2 (sqrt (/ 1 (pow n 3)))) 7.690 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 7.690 * [taylor]: Taking taylor expansion of 3/2 in n 7.690 * [backup-simplify]: Simplify 3/2 into 3/2 7.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.690 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.690 * [taylor]: Taking taylor expansion of n in n 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.691 * [backup-simplify]: Simplify (* 1 1) into 1 7.691 * [backup-simplify]: Simplify (* 1 1) into 1 7.692 * [backup-simplify]: Simplify (/ 1 1) into 1 7.692 * [backup-simplify]: Simplify (sqrt 0) into 0 7.693 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.699 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.701 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.702 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.706 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.707 * [backup-simplify]: Simplify (+ (* +nan.0 (* n 1)) (+ (* (- +nan.0) (* 1 f)) +nan.0)) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 7.707 * [backup-simplify]: Simplify (/ (- (sqrt (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n))) into (* -1 (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n))))) 7.707 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 7.707 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n))))) in n 7.707 * [taylor]: Taking taylor expansion of -1 in n 7.707 * [backup-simplify]: Simplify -1 into -1 7.707 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in n 7.708 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 7.708 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.708 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.708 * [taylor]: Taking taylor expansion of f in n 7.708 * [backup-simplify]: Simplify f into f 7.708 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.708 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.708 * [taylor]: Taking taylor expansion of n in n 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [backup-simplify]: Simplify (- 1) into -1 7.709 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.709 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 7.710 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.710 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.710 * [taylor]: Taking taylor expansion of f in n 7.710 * [backup-simplify]: Simplify f into f 7.710 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.710 * [taylor]: Taking taylor expansion of n in n 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (/ 1 1) into 1 7.711 * [backup-simplify]: Simplify (+ 0 1) into 1 7.719 * [backup-simplify]: Simplify (sqrt 0) into 0 7.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.720 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n))))) in f 7.720 * [taylor]: Taking taylor expansion of -1 in f 7.721 * [backup-simplify]: Simplify -1 into -1 7.721 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 7.721 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 7.721 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.721 * [taylor]: Taking taylor expansion of f in f 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.721 * [taylor]: Taking taylor expansion of n in f 7.721 * [backup-simplify]: Simplify n into n 7.721 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.722 * [backup-simplify]: Simplify (+ 1 0) into 1 7.722 * [backup-simplify]: Simplify (/ 1 1) into 1 7.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 7.722 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.722 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.722 * [taylor]: Taking taylor expansion of f in f 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify 1 into 1 7.723 * [backup-simplify]: Simplify (/ 1 1) into 1 7.723 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.723 * [taylor]: Taking taylor expansion of n in f 7.723 * [backup-simplify]: Simplify n into n 7.723 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.723 * [backup-simplify]: Simplify (+ 1 0) into 1 7.724 * [backup-simplify]: Simplify (sqrt 0) into 0 7.725 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.725 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n))))) in f 7.725 * [taylor]: Taking taylor expansion of -1 in f 7.725 * [backup-simplify]: Simplify -1 into -1 7.725 * [taylor]: Taking taylor expansion of (* (/ 1 (- (/ 1 f) (/ 1 n))) (sqrt (+ (/ 1 f) (/ 1 n)))) in f 7.725 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 7.725 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.725 * [taylor]: Taking taylor expansion of f in f 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.726 * [taylor]: Taking taylor expansion of n in f 7.726 * [backup-simplify]: Simplify n into n 7.726 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.726 * [backup-simplify]: Simplify (+ 1 0) into 1 7.726 * [backup-simplify]: Simplify (/ 1 1) into 1 7.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 7.727 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.727 * [taylor]: Taking taylor expansion of f in f 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (/ 1 1) into 1 7.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.727 * [taylor]: Taking taylor expansion of n in f 7.727 * [backup-simplify]: Simplify n into n 7.727 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.728 * [backup-simplify]: Simplify (+ 1 0) into 1 7.728 * [backup-simplify]: Simplify (sqrt 0) into 0 7.729 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.730 * [backup-simplify]: Simplify (* 1 0) into 0 7.730 * [backup-simplify]: Simplify (* -1 0) into 0 7.730 * [taylor]: Taking taylor expansion of 0 in n 7.730 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.731 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 7.732 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 7.734 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 7.734 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.734 * [taylor]: Taking taylor expansion of +nan.0 in n 7.734 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.734 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.735 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.736 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.737 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 7.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.739 * [backup-simplify]: Simplify (- 0) into 0 7.739 * [backup-simplify]: Simplify (+ 0 0) into 0 7.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 7.740 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 n) +nan.0) (* (/ 1 (pow n 2)) 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.742 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.742 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.742 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.742 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.742 * [taylor]: Taking taylor expansion of +nan.0 in n 7.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.742 * [taylor]: Taking taylor expansion of n in n 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify (/ 1 1) into 1 7.742 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.742 * [taylor]: Taking taylor expansion of +nan.0 in n 7.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.744 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.745 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.746 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.746 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.747 * [backup-simplify]: Simplify (- 0) into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.748 * [backup-simplify]: Simplify (+ 0 0) into 0 7.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.751 * [backup-simplify]: Simplify (- 0) into 0 7.751 * [backup-simplify]: Simplify (+ 0 0) into 0 7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 7.753 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (/ 1 n) (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 (pow n 2)) +nan.0) (* (/ 1 (pow n 3)) 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.756 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.756 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.756 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.756 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.756 * [taylor]: Taking taylor expansion of +nan.0 in n 7.756 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.756 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.756 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.756 * [taylor]: Taking taylor expansion of n in n 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 1 into 1 7.756 * [backup-simplify]: Simplify (* 1 1) into 1 7.757 * [backup-simplify]: Simplify (/ 1 1) into 1 7.757 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.757 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.757 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.757 * [taylor]: Taking taylor expansion of +nan.0 in n 7.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.757 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.757 * [taylor]: Taking taylor expansion of n in n 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.758 * [taylor]: Taking taylor expansion of +nan.0 in n 7.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.764 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.765 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.766 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.767 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.767 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.768 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.770 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (* (- +nan.0) (* 1 (/ 1 f))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 7.770 * [backup-simplify]: Simplify (/ (- (sqrt (+ (/ 1 (- f)) (/ 1 (- n))))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f)))) 7.770 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.770 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f)))) in n 7.770 * [taylor]: Taking taylor expansion of -1 in n 7.770 * [backup-simplify]: Simplify -1 into -1 7.770 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 7.770 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.770 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.770 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.770 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.770 * [taylor]: Taking taylor expansion of f in n 7.770 * [backup-simplify]: Simplify f into f 7.770 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.770 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.770 * [taylor]: Taking taylor expansion of n in n 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [backup-simplify]: Simplify (+ 0 1) into 1 7.772 * [backup-simplify]: Simplify (- 1) into -1 7.772 * [backup-simplify]: Simplify (sqrt 0) into 0 7.773 * [backup-simplify]: Simplify (- 1) into -1 7.774 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.774 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.774 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.774 * [taylor]: Taking taylor expansion of n in n 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.775 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.775 * [taylor]: Taking taylor expansion of f in n 7.775 * [backup-simplify]: Simplify f into f 7.775 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.775 * [backup-simplify]: Simplify (+ 1 0) into 1 7.776 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.776 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f)))) in f 7.776 * [taylor]: Taking taylor expansion of -1 in f 7.776 * [backup-simplify]: Simplify -1 into -1 7.776 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 7.776 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.776 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.776 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.776 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.776 * [taylor]: Taking taylor expansion of f in f 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [backup-simplify]: Simplify (/ 1 1) into 1 7.776 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.776 * [taylor]: Taking taylor expansion of n in f 7.776 * [backup-simplify]: Simplify n into n 7.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.777 * [backup-simplify]: Simplify (+ 1 0) into 1 7.777 * [backup-simplify]: Simplify (- 1) into -1 7.778 * [backup-simplify]: Simplify (sqrt 0) into 0 7.778 * [backup-simplify]: Simplify (- 1) into -1 7.779 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.779 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.779 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.780 * [taylor]: Taking taylor expansion of n in f 7.780 * [backup-simplify]: Simplify n into n 7.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.780 * [taylor]: Taking taylor expansion of f in f 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.781 * [backup-simplify]: Simplify (- 1) into -1 7.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.781 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.781 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f)))) in f 7.781 * [taylor]: Taking taylor expansion of -1 in f 7.782 * [backup-simplify]: Simplify -1 into -1 7.782 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 7.782 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.782 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.782 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.782 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.782 * [taylor]: Taking taylor expansion of f in f 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (/ 1 1) into 1 7.782 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.782 * [taylor]: Taking taylor expansion of n in f 7.782 * [backup-simplify]: Simplify n into n 7.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.783 * [backup-simplify]: Simplify (+ 1 0) into 1 7.783 * [backup-simplify]: Simplify (- 1) into -1 7.783 * [backup-simplify]: Simplify (sqrt 0) into 0 7.784 * [backup-simplify]: Simplify (- 1) into -1 7.785 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.785 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.785 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.786 * [taylor]: Taking taylor expansion of n in f 7.786 * [backup-simplify]: Simplify n into n 7.786 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.786 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.786 * [taylor]: Taking taylor expansion of f in f 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (/ 1 1) into 1 7.787 * [backup-simplify]: Simplify (- 1) into -1 7.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.788 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.788 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 7.788 * [taylor]: Taking taylor expansion of +nan.0 in n 7.788 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.788 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.789 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.789 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.791 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (- 0) into 0 7.792 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.793 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.794 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.794 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.794 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.794 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.794 * [taylor]: Taking taylor expansion of +nan.0 in n 7.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.794 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.794 * [taylor]: Taking taylor expansion of n in n 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (/ 1 1) into 1 7.794 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.795 * [taylor]: Taking taylor expansion of +nan.0 in n 7.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.797 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.798 * [backup-simplify]: Simplify (- 0) into 0 7.798 * [backup-simplify]: Simplify (+ 0 0) into 0 7.798 * [backup-simplify]: Simplify (- 0) into 0 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.800 * [backup-simplify]: Simplify (+ 0 0) into 0 7.800 * [backup-simplify]: Simplify (- 0) into 0 7.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (- 0) into 0 7.803 * [backup-simplify]: Simplify (+ 0 0) into 0 7.805 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.807 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.807 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.807 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.807 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.807 * [taylor]: Taking taylor expansion of +nan.0 in n 7.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.807 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.807 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.807 * [taylor]: Taking taylor expansion of n in n 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (* 1 1) into 1 7.808 * [backup-simplify]: Simplify (/ 1 1) into 1 7.808 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.808 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.808 * [taylor]: Taking taylor expansion of +nan.0 in n 7.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.808 * [taylor]: Taking taylor expansion of n in n 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (/ 1 1) into 1 7.809 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.809 * [taylor]: Taking taylor expansion of +nan.0 in n 7.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.815 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.818 * [backup-simplify]: Simplify (- 0) into 0 7.818 * [backup-simplify]: Simplify (+ 0 0) into 0 7.818 * [backup-simplify]: Simplify (- 0) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.819 * [backup-simplify]: Simplify (- 0) into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.822 * [backup-simplify]: Simplify (- 0) into 0 7.822 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (- 0) into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.823 * [backup-simplify]: Simplify (* (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n))) into (* -1 (/ (+ n f) (- f n))) 7.823 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.823 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.823 * [taylor]: Taking taylor expansion of -1 in n 7.823 * [backup-simplify]: Simplify -1 into -1 7.823 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.823 * [taylor]: Taking taylor expansion of (+ n f) in n 7.823 * [taylor]: Taking taylor expansion of n in n 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.823 * [taylor]: Taking taylor expansion of f in n 7.823 * [backup-simplify]: Simplify f into f 7.823 * [taylor]: Taking taylor expansion of (- f n) in n 7.823 * [taylor]: Taking taylor expansion of f in n 7.823 * [backup-simplify]: Simplify f into f 7.823 * [taylor]: Taking taylor expansion of n in n 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.824 * [backup-simplify]: Simplify (+ 0 f) into f 7.824 * [backup-simplify]: Simplify (- 0) into 0 7.824 * [backup-simplify]: Simplify (+ f 0) into f 7.824 * [backup-simplify]: Simplify (/ f f) into 1 7.824 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.824 * [taylor]: Taking taylor expansion of -1 in f 7.824 * [backup-simplify]: Simplify -1 into -1 7.824 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.824 * [taylor]: Taking taylor expansion of (+ n f) in f 7.824 * [taylor]: Taking taylor expansion of n in f 7.824 * [backup-simplify]: Simplify n into n 7.824 * [taylor]: Taking taylor expansion of f in f 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [taylor]: Taking taylor expansion of (- f n) in f 7.824 * [taylor]: Taking taylor expansion of f in f 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [taylor]: Taking taylor expansion of n in f 7.825 * [backup-simplify]: Simplify n into n 7.825 * [backup-simplify]: Simplify (+ n 0) into n 7.825 * [backup-simplify]: Simplify (- n) into (- n) 7.825 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.825 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.825 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.825 * [taylor]: Taking taylor expansion of -1 in f 7.825 * [backup-simplify]: Simplify -1 into -1 7.825 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.825 * [taylor]: Taking taylor expansion of (+ n f) in f 7.825 * [taylor]: Taking taylor expansion of n in f 7.825 * [backup-simplify]: Simplify n into n 7.825 * [taylor]: Taking taylor expansion of f in f 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of (- f n) in f 7.825 * [taylor]: Taking taylor expansion of f in f 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of n in f 7.825 * [backup-simplify]: Simplify n into n 7.825 * [backup-simplify]: Simplify (+ n 0) into n 7.825 * [backup-simplify]: Simplify (- n) into (- n) 7.825 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.826 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.826 * [backup-simplify]: Simplify (* -1 -1) into 1 7.826 * [taylor]: Taking taylor expansion of 1 in n 7.826 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (+ 0 1) into 1 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.827 * [backup-simplify]: Simplify (+ 1 0) into 1 7.828 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.828 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.828 * [taylor]: Taking taylor expansion of 2 in n 7.828 * [backup-simplify]: Simplify 2 into 2 7.828 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.828 * [taylor]: Taking taylor expansion of n in n 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.829 * [backup-simplify]: Simplify (/ 1 1) into 1 7.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (+ 0 0) into 0 7.831 * [backup-simplify]: Simplify (- 0) into 0 7.831 * [backup-simplify]: Simplify (+ 0 0) into 0 7.832 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.833 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.833 * [taylor]: Taking taylor expansion of 2 in n 7.833 * [backup-simplify]: Simplify 2 into 2 7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.833 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.833 * [taylor]: Taking taylor expansion of n in n 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (* 1 1) into 1 7.834 * [backup-simplify]: Simplify (/ 1 1) into 1 7.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.838 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify (+ 0 0) into 0 7.841 * [backup-simplify]: Simplify (- 0) into 0 7.842 * [backup-simplify]: Simplify (+ 0 0) into 0 7.843 * [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)))) 7.844 * [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))) 7.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.844 * [taylor]: Taking taylor expansion of 2 in n 7.844 * [backup-simplify]: Simplify 2 into 2 7.844 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.844 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.844 * [taylor]: Taking taylor expansion of n in n 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 1 into 1 7.844 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 1 into 1 7.855 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ (- (sqrt (+ (/ 1 f) (/ 1 n)))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.855 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.855 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.855 * [taylor]: Taking taylor expansion of -1 in n 7.855 * [backup-simplify]: Simplify -1 into -1 7.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.855 * [taylor]: Taking taylor expansion of f in n 7.855 * [backup-simplify]: Simplify f into f 7.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.855 * [taylor]: Taking taylor expansion of n in n 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (/ 1 1) into 1 7.856 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.856 * [taylor]: Taking taylor expansion of f in n 7.856 * [backup-simplify]: Simplify f into f 7.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.856 * [taylor]: Taking taylor expansion of n in n 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (/ 1 1) into 1 7.857 * [backup-simplify]: Simplify (+ 0 1) into 1 7.857 * [backup-simplify]: Simplify (- 1) into -1 7.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.858 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.858 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.858 * [taylor]: Taking taylor expansion of -1 in f 7.858 * [backup-simplify]: Simplify -1 into -1 7.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.858 * [taylor]: Taking taylor expansion of f in f 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.859 * [taylor]: Taking taylor expansion of n in f 7.859 * [backup-simplify]: Simplify n into n 7.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.859 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.859 * [taylor]: Taking taylor expansion of f in f 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.860 * [taylor]: Taking taylor expansion of n in f 7.860 * [backup-simplify]: Simplify n into n 7.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.860 * [backup-simplify]: Simplify (+ 1 0) into 1 7.861 * [backup-simplify]: Simplify (+ 1 0) into 1 7.861 * [backup-simplify]: Simplify (/ 1 1) into 1 7.861 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.861 * [taylor]: Taking taylor expansion of -1 in f 7.861 * [backup-simplify]: Simplify -1 into -1 7.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.861 * [taylor]: Taking taylor expansion of f in f 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (/ 1 1) into 1 7.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.862 * [taylor]: Taking taylor expansion of n in f 7.862 * [backup-simplify]: Simplify n into n 7.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.862 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.862 * [taylor]: Taking taylor expansion of f in f 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (/ 1 1) into 1 7.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.863 * [taylor]: Taking taylor expansion of n in f 7.863 * [backup-simplify]: Simplify n into n 7.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.863 * [backup-simplify]: Simplify (+ 1 0) into 1 7.863 * [backup-simplify]: Simplify (+ 1 0) into 1 7.864 * [backup-simplify]: Simplify (/ 1 1) into 1 7.864 * [backup-simplify]: Simplify (* -1 1) into -1 7.864 * [taylor]: Taking taylor expansion of -1 in n 7.864 * [backup-simplify]: Simplify -1 into -1 7.864 * [backup-simplify]: Simplify -1 into -1 7.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.865 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.866 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.866 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.867 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.867 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.867 * [taylor]: Taking taylor expansion of 2 in n 7.867 * [backup-simplify]: Simplify 2 into 2 7.867 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.867 * [taylor]: Taking taylor expansion of n in n 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.868 * [backup-simplify]: Simplify (/ 1 1) into 1 7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.875 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.876 * [backup-simplify]: Simplify (- 0) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.878 * [backup-simplify]: Simplify (+ 0 0) into 0 7.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.879 * [backup-simplify]: Simplify (- 0) into 0 7.879 * [backup-simplify]: Simplify (+ 0 0) into 0 7.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.881 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.882 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.882 * [taylor]: Taking taylor expansion of 2 in n 7.882 * [backup-simplify]: Simplify 2 into 2 7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.882 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.882 * [taylor]: Taking taylor expansion of n in n 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (* 1 1) into 1 7.883 * [backup-simplify]: Simplify (/ 1 1) into 1 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.888 * [backup-simplify]: Simplify (- 0) into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.890 * [backup-simplify]: Simplify (- 0) into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.891 * [backup-simplify]: Simplify (- 0) into 0 7.892 * [backup-simplify]: Simplify (+ 0 0) into 0 7.893 * [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))) 7.893 * [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)))) 7.893 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.893 * [taylor]: Taking taylor expansion of 2 in n 7.893 * [backup-simplify]: Simplify 2 into 2 7.893 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.893 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.893 * [taylor]: Taking taylor expansion of n in n 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (* 1 1) into 1 7.894 * [backup-simplify]: Simplify (* 1 1) into 1 7.894 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.899 * [backup-simplify]: Simplify (- 0) into 0 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify -1 into -1 7.900 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (- (sqrt (+ (/ 1 (- f)) (/ 1 (- n))))) (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) 7.900 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.900 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 7.900 * [taylor]: Taking taylor expansion of -1 in n 7.900 * [backup-simplify]: Simplify -1 into -1 7.900 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 7.900 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 7.900 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 7.900 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 7.900 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.900 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.900 * [taylor]: Taking taylor expansion of f in n 7.900 * [backup-simplify]: Simplify f into f 7.900 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.900 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.900 * [taylor]: Taking taylor expansion of n in n 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 1 into 1 7.900 * [backup-simplify]: Simplify (/ 1 1) into 1 7.901 * [backup-simplify]: Simplify (+ 0 1) into 1 7.901 * [backup-simplify]: Simplify (- 1) into -1 7.901 * [backup-simplify]: Simplify (sqrt 0) into 0 7.902 * [backup-simplify]: Simplify (- 1) into -1 7.902 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.902 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.902 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.903 * [taylor]: Taking taylor expansion of n in n 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [backup-simplify]: Simplify (/ 1 1) into 1 7.903 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.903 * [taylor]: Taking taylor expansion of f in n 7.903 * [backup-simplify]: Simplify f into f 7.903 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.903 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.903 * [backup-simplify]: Simplify (+ 1 0) into 1 7.904 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.904 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 7.904 * [taylor]: Taking taylor expansion of -1 in f 7.904 * [backup-simplify]: Simplify -1 into -1 7.904 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 7.904 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.904 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.904 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.904 * [taylor]: Taking taylor expansion of f in f 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.904 * [taylor]: Taking taylor expansion of n in f 7.904 * [backup-simplify]: Simplify n into n 7.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.905 * [backup-simplify]: Simplify (+ 1 0) into 1 7.905 * [backup-simplify]: Simplify (- 1) into -1 7.905 * [backup-simplify]: Simplify (sqrt 0) into 0 7.905 * [backup-simplify]: Simplify (- 1) into -1 7.906 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.906 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.906 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.906 * [taylor]: Taking taylor expansion of n in f 7.906 * [backup-simplify]: Simplify n into n 7.906 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.906 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.906 * [taylor]: Taking taylor expansion of f in f 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (/ 1 1) into 1 7.907 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.907 * [backup-simplify]: Simplify (- 1) into -1 7.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.908 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.908 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 7.908 * [taylor]: Taking taylor expansion of -1 in f 7.908 * [backup-simplify]: Simplify -1 into -1 7.908 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 7.908 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 7.908 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 7.908 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 7.908 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.908 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.908 * [taylor]: Taking taylor expansion of f in f 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (/ 1 1) into 1 7.908 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.908 * [taylor]: Taking taylor expansion of n in f 7.908 * [backup-simplify]: Simplify n into n 7.908 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.909 * [backup-simplify]: Simplify (+ 1 0) into 1 7.909 * [backup-simplify]: Simplify (- 1) into -1 7.909 * [backup-simplify]: Simplify (sqrt 0) into 0 7.909 * [backup-simplify]: Simplify (- 1) into -1 7.910 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.910 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.910 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.910 * [taylor]: Taking taylor expansion of n in f 7.910 * [backup-simplify]: Simplify n into n 7.910 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.910 * [taylor]: Taking taylor expansion of f in f 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (/ 1 1) into 1 7.911 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.911 * [backup-simplify]: Simplify (- 1) into -1 7.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.911 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 7.912 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 7.912 * [taylor]: Taking taylor expansion of +nan.0 in n 7.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.912 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.913 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 7.914 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (- 0) into 0 7.915 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.915 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.916 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.916 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.916 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.916 * [taylor]: Taking taylor expansion of +nan.0 in n 7.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.916 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.916 * [taylor]: Taking taylor expansion of n in n 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 1 into 1 7.916 * [backup-simplify]: Simplify (/ 1 1) into 1 7.916 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.916 * [taylor]: Taking taylor expansion of +nan.0 in n 7.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.918 * [backup-simplify]: Simplify (- 0) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.919 * [backup-simplify]: Simplify (- 0) into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.920 * [backup-simplify]: Simplify (+ 0 0) into 0 7.921 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 7.924 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- 0) into 0 7.926 * [backup-simplify]: Simplify (+ 0 0) into 0 7.928 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.930 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 7.930 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 7.930 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 7.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 7.930 * [taylor]: Taking taylor expansion of +nan.0 in n 7.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.930 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.930 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.930 * [taylor]: Taking taylor expansion of n in n 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (* 1 1) into 1 7.931 * [backup-simplify]: Simplify (/ 1 1) into 1 7.931 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 7.931 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 7.931 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 7.931 * [taylor]: Taking taylor expansion of +nan.0 in n 7.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.931 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.931 * [taylor]: Taking taylor expansion of n in n 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [backup-simplify]: Simplify (/ 1 1) into 1 7.931 * [taylor]: Taking taylor expansion of (- +nan.0) in n 7.931 * [taylor]: Taking taylor expansion of +nan.0 in n 7.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.940 * [backup-simplify]: Simplify (- 0) into 0 7.941 * [backup-simplify]: Simplify (+ 0 0) into 0 7.941 * [backup-simplify]: Simplify (- 0) into 0 7.941 * [backup-simplify]: Simplify (+ 0 0) into 0 7.942 * [backup-simplify]: Simplify (- 0) into 0 7.942 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.944 * [backup-simplify]: Simplify (- 0) into 0 7.945 * [backup-simplify]: Simplify (+ 0 0) into 0 7.945 * [backup-simplify]: Simplify (- 0) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * * * [progress]: simplifying candidates 7.954 * [simplify]: Simplifying: (- (log (- (sqrt (+ f n)))) (log (- f n))) (log (/ (- (sqrt (+ f n))) (- f n))) (exp (/ (- (sqrt (+ f n))) (- f n))) (/ (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (sqrt (+ f n))) (- f n))) (cbrt (/ (- (sqrt (+ f n))) (- f n)))) (cbrt (/ (- (sqrt (+ f n))) (- f n))) (* (* (/ (- (sqrt (+ f n))) (- f n)) (/ (- (sqrt (+ f n))) (- f n))) (/ (- (sqrt (+ f n))) (- f n))) (sqrt (/ (- (sqrt (+ f n))) (- f n))) (sqrt (/ (- (sqrt (+ f n))) (- f n))) (- (- (sqrt (+ f n)))) (- (- f n)) (/ 0 (- f n)) (/ (sqrt (+ f n)) (- f n)) (/ (* (cbrt (- (sqrt (+ f n)))) (cbrt (- (sqrt (+ f n))))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (sqrt (+ f n)))) (cbrt (- f n))) (/ (* (cbrt (- (sqrt (+ f n)))) (cbrt (- (sqrt (+ f n))))) (sqrt (- f n))) (/ (cbrt (- (sqrt (+ f 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n))) (* (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (+ f n)) (- (sqrt (+ f n)))) (* (sqrt (+ (pow f 3) (pow n 3))) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (- (* f f) (* n n))) (/ (- (sqrt (+ f n))) (- f n))) (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 0 1 -1 0 7.966 * * [simplify]: Extracting # 0 : cost 0 7.967 * * [simplify]: Extracting # 1 : cost 0 7.968 * * [simplify]: Extracting # 2 : cost 0 7.968 * * [simplify]: Extracting # 3 : cost 0 7.969 * * [simplify]: Extracting # 4 : cost 0 7.970 * * [simplify]: Extracting # 5 : cost 0 7.970 * * [simplify]: Extracting # 6 : cost 0 7.971 * * [simplify]: Extracting # 7 : cost 0 7.972 * * [simplify]: Extracting # 8 : cost 0 7.972 * * [simplify]: Extracting # 9 : cost 0 7.973 * * [simplify]: Extracting # 10 : cost 0 7.974 * * [simplify]: Extracting # 11 : cost 0 7.975 * * [simplify]: Extracting # 12 : cost 0 7.976 * * [simplify]: iteration 0 : 279 enodes (cost 4454 ) 8.151 * * [simplify]: Extracting # 0 : cost 0 8.153 * * [simplify]: Extracting # 1 : cost 0 8.155 * * [simplify]: Extracting # 2 : cost 0 8.156 * * [simplify]: Extracting # 3 : cost 0 8.158 * * [simplify]: Extracting # 4 : cost 0 8.159 * * [simplify]: iteration 1 : 641 enodes (cost 3922 ) 8.446 * * [simplify]: Extracting # 0 : cost 0 8.449 * * [simplify]: Extracting # 1 : cost 0 8.452 * * [simplify]: Extracting # 2 : cost 0 8.454 * * [simplify]: Extracting # 3 : cost 0 8.457 * * [simplify]: Extracting # 4 : cost 0 8.459 * * [simplify]: iteration 2 : 2165 enodes (cost 3804 ) 10.051 * * [simplify]: Extracting # 0 : cost 0 10.073 * * [simplify]: Extracting # 1 : cost 0 10.083 * * [simplify]: Extracting # 2 : cost 0 10.093 * * [simplify]: Extracting # 3 : cost 0 10.102 * * [simplify]: Extracting # 4 : cost 0 10.112 * * [simplify]: Extracting # 5 : cost 0 10.121 * * [simplify]: iteration done: 5001 enodes (cost 3801 ) 10.124 * [simplify]: Simplified to: (log (/ (- (sqrt (+ f n))) (- f n))) (log (/ (- (sqrt (+ f n))) (- f n))) (exp (/ (- (sqrt (+ f n))) (- f n))) (pow (/ (- (sqrt (+ f n))) (- f n)) 3) (* (cbrt (/ (- (sqrt (+ f n))) (- f n))) (cbrt (/ (- (sqrt (+ f n))) (- f n)))) (cbrt (/ (- (sqrt (+ f n))) (- f n))) (pow (/ (- (sqrt (+ f n))) (- f n)) 3) (sqrt (/ (- (sqrt (+ f n))) (- f n))) (sqrt (/ (- (sqrt (+ f n))) (- f n))) (sqrt (+ f n)) (- n f) 0 (/ (sqrt (+ f n)) (- f n)) (/ (* (cbrt (- (sqrt (+ f n)))) (cbrt (- (sqrt (+ f n))))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (sqrt (+ f n)))) (cbrt (- f n))) (* (/ (cbrt (- (sqrt (+ f n)))) (sqrt (- f n))) (cbrt (- (sqrt (+ f n))))) (/ (cbrt (- (sqrt (+ f n)))) (sqrt (- f n))) (* (cbrt (- (sqrt (+ f n)))) (cbrt (- (sqrt (+ f n))))) (/ (cbrt (- (sqrt (+ f n)))) (- f n)) (/ (cbrt (- (sqrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (cbrt (- (sqrt (+ f n)))))) (/ (cbrt (- (sqrt (+ f 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(/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (sqrt (sqrt (+ f n))))) (/ (- f n) (- (sqrt (+ f n)))) (- (/ (sqrt (+ f n)) (- (pow f 3) (pow n 3)))) (- (/ (sqrt (+ f n)) (- (* f f) (* n n)))) (* (- f n) (sqrt (+ (* f f) (* n (- n f))))) (* (sqrt (- f n)) (- f n)) (- (/ (+ f n) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (* (sqrt (+ (pow f 3) (pow n 3))) (- (sqrt (+ f n)))) (* (- f n) (sqrt (+ (* f f) (* n (- n f))))) (* (sqrt (- (* f f) (* n n))) (- (sqrt (+ f n)))) (* (sqrt (- f n)) (- f n)) (* (sqrt (sqrt (+ f n))) (sqrt (/ (- (sqrt (+ f n))) (- f n)))) (* (sqrt (sqrt (+ f n))) (sqrt (/ (- (sqrt (+ f n))) (- f n)))) (* (sqrt (sqrt (+ f n))) (/ (sqrt 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(sqrt (+ f n))) (* (sqrt (+ f n)) (/ (sqrt (- (sqrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (sqrt (+ f n)) (/ (sqrt (- (sqrt (+ f n)))) (sqrt (- f n)))) (* (sqrt (+ f n)) (sqrt (- (sqrt (+ f n))))) (* (sqrt (+ f n)) (/ (sqrt (- (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (sqrt (- (sqrt (+ f n))))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (- (sqrt (+ f n))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (sqrt (- f n)))) (* (- (sqrt (+ f n))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))))) (* (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n)))) (* (- (sqrt (+ f n))) (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))))) (* (/ (fabs (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (sqrt (+ f n)))) (* (/ (fabs (cbrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n)))) (* (- (sqrt (+ f n))) (fabs (cbrt (+ f n)))) (* (/ (fabs (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n)))) (* (- (sqrt (+ f n))) (fabs (cbrt (+ f n)))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n)))) (* (sqrt (sqrt (+ f n))) (- (sqrt (+ f n)))) (* (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n)))) (* (sqrt (sqrt (+ f n))) (- (sqrt (+ f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (* (- (sqrt (+ f n))) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (* (/ (sqrt (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n)))) (* (sqrt (sqrt (+ f n))) (- (sqrt (+ f n)))) (* (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n)))) (* (sqrt (sqrt (+ f n))) (- (sqrt (+ f n)))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (* (* (sqrt (+ f n)) (/ (cbrt (sqrt (+ f n))) (cbrt (- f n)))) (/ (cbrt (sqrt (+ f n))) (cbrt (- f n)))) (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ f n)))) (* (* (cbrt (sqrt (+ f n))) (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (* (/ (* (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (+ (sqrt f) (sqrt n))) (sqrt (+ f n))) (* (* (cbrt (sqrt (+ f n))) (sqrt (+ f n))) (cbrt (sqrt (+ f n)))) (/ (* (sqrt (+ f n)) (/ (fabs (cbrt (+ f n))) (cbrt (- f n)))) (cbrt (- f n))) (/ (fabs (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n)))) (* (sqrt (+ f n)) (fabs (cbrt (+ f n)))) (* (sqrt (+ f n)) (/ (fabs (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (fabs (cbrt (+ f n)))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (/ (sqrt (- f n)) (sqrt (sqrt (+ f n))))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (/ (sqrt (- f n)) (sqrt (sqrt (+ f n))))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (* (sqrt (+ f n)) (/ (sqrt (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (* (sqrt (+ f n)) (sqrt (sqrt (+ f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (sqrt (+ f n)) (- (+ f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (cbrt (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (cbrt (+ f n))) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (- f n))) (- (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (* (sqrt (sqrt (+ f n))) (/ (- (sqrt (+ f n))) (- f n))) (- (/ (+ f n) (- f n))) (- (+ f n)) (* (sqrt (+ (pow f 3) (pow n 3))) (/ (- (sqrt (+ f n))) (- f n))) (* (sqrt (- (* f f) (* n n))) (/ (- (sqrt (+ f n))) (- f n))) (- (+ (* +nan.0 (- n f)) +nan.0)) (- (- (/ +nan.0 f) (- (/ +nan.0 (pow f 3)) (/ +nan.0 (* f f))))) 0 1 -1 0 10.128 * * * [progress]: adding candidates to table 10.769 * * [progress]: iteration 4 / 4 10.769 * * * [progress]: picking best candidate 10.771 * * * * [pick]: Picked # 10.771 * * * [progress]: localizing error 10.786 * * * [progress]: generating rewritten candidates 10.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 10.836 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 11.155 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 11.201 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 11.384 * * * [progress]: generating series expansions 11.384 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 11.384 * [backup-simplify]: Simplify (/ (- f n) (sqrt (- (+ f n)))) into (/ (- f n) (sqrt (- (+ n f)))) 11.384 * [approximate]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in (f n) around 0 11.384 * [taylor]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in n 11.384 * [taylor]: Taking taylor expansion of (- f n) in n 11.384 * [taylor]: Taking taylor expansion of f in n 11.384 * [backup-simplify]: Simplify f into f 11.384 * [taylor]: Taking taylor expansion of n in n 11.384 * [backup-simplify]: Simplify 0 into 0 11.384 * [backup-simplify]: Simplify 1 into 1 11.384 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 11.384 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 11.385 * [taylor]: Taking taylor expansion of (+ n f) in n 11.385 * [taylor]: Taking taylor expansion of n in n 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 1 into 1 11.385 * [taylor]: Taking taylor expansion of f in n 11.385 * [backup-simplify]: Simplify f into f 11.385 * [backup-simplify]: Simplify (+ 0 f) into f 11.385 * [backup-simplify]: Simplify (- f) into (- f) 11.385 * [backup-simplify]: Simplify (- f) into (- f) 11.385 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 11.386 * [backup-simplify]: Simplify (+ 1 0) into 1 11.386 * [backup-simplify]: Simplify (- 1) into -1 11.386 * [backup-simplify]: Simplify (- f) into (- f) 11.387 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 11.387 * [backup-simplify]: Simplify (- 0) into 0 11.387 * [backup-simplify]: Simplify (+ f 0) into f 11.387 * [backup-simplify]: Simplify (/ f (sqrt (- f))) into (/ f (sqrt (- f))) 11.387 * [taylor]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in f 11.387 * [taylor]: Taking taylor expansion of (- f n) in f 11.387 * [taylor]: Taking taylor expansion of f in f 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 1 into 1 11.387 * [taylor]: Taking taylor expansion of n in f 11.388 * [backup-simplify]: Simplify n into n 11.388 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.388 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.388 * [taylor]: Taking taylor expansion of (+ n f) in f 11.388 * [taylor]: Taking taylor expansion of n in f 11.388 * [backup-simplify]: Simplify n into n 11.388 * [taylor]: Taking taylor expansion of f in f 11.388 * [backup-simplify]: Simplify 0 into 0 11.388 * [backup-simplify]: Simplify 1 into 1 11.388 * [backup-simplify]: Simplify (+ n 0) into n 11.388 * [backup-simplify]: Simplify (- n) into (- n) 11.388 * [backup-simplify]: Simplify (- n) into (- n) 11.388 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.388 * [backup-simplify]: Simplify (+ 0 1) into 1 11.389 * [backup-simplify]: Simplify (- 1) into -1 11.389 * [backup-simplify]: Simplify (- n) into (- n) 11.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.389 * [backup-simplify]: Simplify (- n) into (- n) 11.389 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.389 * [backup-simplify]: Simplify (/ (- n) (sqrt (- n))) into (* -1 (/ n (sqrt (- n)))) 11.389 * [taylor]: Taking taylor expansion of (/ (- f n) (sqrt (- (+ n f)))) in f 11.389 * [taylor]: Taking taylor expansion of (- f n) in f 11.389 * [taylor]: Taking taylor expansion of f in f 11.389 * [backup-simplify]: Simplify 0 into 0 11.389 * [backup-simplify]: Simplify 1 into 1 11.389 * [taylor]: Taking taylor expansion of n in f 11.389 * [backup-simplify]: Simplify n into n 11.389 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.389 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.390 * [taylor]: Taking taylor expansion of (+ n f) in f 11.390 * [taylor]: Taking taylor expansion of n in f 11.390 * [backup-simplify]: Simplify n into n 11.390 * [taylor]: Taking taylor expansion of f in f 11.390 * [backup-simplify]: Simplify 0 into 0 11.390 * [backup-simplify]: Simplify 1 into 1 11.390 * [backup-simplify]: Simplify (+ n 0) into n 11.390 * [backup-simplify]: Simplify (- n) into (- n) 11.390 * [backup-simplify]: Simplify (- n) into (- n) 11.390 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.390 * [backup-simplify]: Simplify (+ 0 1) into 1 11.391 * [backup-simplify]: Simplify (- 1) into -1 11.391 * [backup-simplify]: Simplify (- n) into (- n) 11.391 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.391 * [backup-simplify]: Simplify (- n) into (- n) 11.391 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.391 * [backup-simplify]: Simplify (/ (- n) (sqrt (- n))) into (* -1 (/ n (sqrt (- n)))) 11.391 * [taylor]: Taking taylor expansion of (* -1 (/ n (sqrt (- n)))) in n 11.391 * [taylor]: Taking taylor expansion of -1 in n 11.391 * [backup-simplify]: Simplify -1 into -1 11.391 * [taylor]: Taking taylor expansion of (/ n (sqrt (- n))) in n 11.391 * [taylor]: Taking taylor expansion of n in n 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 1 into 1 11.391 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.392 * [taylor]: Taking taylor expansion of (- n) in n 11.392 * [taylor]: Taking taylor expansion of n in n 11.392 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify 1 into 1 11.392 * [backup-simplify]: Simplify (- 0) into 0 11.392 * [backup-simplify]: Simplify (- 1) into -1 11.393 * [backup-simplify]: Simplify (sqrt 0) into 0 11.393 * [backup-simplify]: Simplify (- 1) into -1 11.395 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.395 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.396 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 11.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.396 * [backup-simplify]: Simplify (- 0) into 0 11.397 * [backup-simplify]: Simplify (+ 1 0) into 1 11.397 * [backup-simplify]: Simplify (- (/ 1 (sqrt (- n))) (+ (* (* -1 (/ n (sqrt (- n)))) (/ (/ -1/2 (sqrt (- n))) (sqrt (- n)))))) into (- (/ 1 (sqrt (- n))) (* 1/2 (/ n (pow (sqrt (- n)) 3)))) 11.397 * [taylor]: Taking taylor expansion of (- (/ 1 (sqrt (- n))) (* 1/2 (/ n (pow (sqrt (- n)) 3)))) in n 11.397 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- n))) in n 11.397 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.397 * [taylor]: Taking taylor expansion of (- n) in n 11.397 * [taylor]: Taking taylor expansion of n in n 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 1 into 1 11.398 * [backup-simplify]: Simplify (- 0) into 0 11.398 * [backup-simplify]: Simplify (- 1) into -1 11.398 * [backup-simplify]: Simplify (sqrt 0) into 0 11.399 * [backup-simplify]: Simplify (- 1) into -1 11.400 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.401 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ n (pow (sqrt (- n)) 3))) in n 11.401 * [taylor]: Taking taylor expansion of 1/2 in n 11.401 * [backup-simplify]: Simplify 1/2 into 1/2 11.401 * [taylor]: Taking taylor expansion of (/ n (pow (sqrt (- n)) 3)) in n 11.401 * [taylor]: Taking taylor expansion of n in n 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 11.401 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.401 * [taylor]: Taking taylor expansion of (- n) in n 11.401 * [taylor]: Taking taylor expansion of n in n 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [backup-simplify]: Simplify (- 0) into 0 11.402 * [backup-simplify]: Simplify (- 1) into -1 11.402 * [backup-simplify]: Simplify (sqrt 0) into 0 11.403 * [backup-simplify]: Simplify (- 1) into -1 11.404 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.404 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.405 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.405 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.406 * [backup-simplify]: Simplify (- 0) into 0 11.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.411 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.411 * [backup-simplify]: Simplify (- 0) into 0 11.412 * [backup-simplify]: Simplify (- 0) into 0 11.415 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.421 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.422 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.426 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 11.427 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 11.431 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.436 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.439 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 11.440 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.441 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 11.442 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.442 * [backup-simplify]: Simplify (- 0) into 0 11.445 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.448 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.450 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 11.450 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.451 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) +nan.0)) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 11.452 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) into (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) 11.452 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 11.452 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in n 11.452 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.452 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.452 * [taylor]: Taking taylor expansion of f in n 11.452 * [backup-simplify]: Simplify f into f 11.452 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.452 * [taylor]: Taking taylor expansion of n in n 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 1 into 1 11.452 * [backup-simplify]: Simplify (/ 1 1) into 1 11.452 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 11.452 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 11.453 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.453 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.453 * [taylor]: Taking taylor expansion of f in n 11.453 * [backup-simplify]: Simplify f into f 11.453 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.453 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.453 * [taylor]: Taking taylor expansion of n in n 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 1 into 1 11.453 * [backup-simplify]: Simplify (/ 1 1) into 1 11.454 * [backup-simplify]: Simplify (+ 0 1) into 1 11.454 * [backup-simplify]: Simplify (- 1) into -1 11.454 * [backup-simplify]: Simplify (sqrt 0) into 0 11.455 * [backup-simplify]: Simplify (- 1) into -1 11.456 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.457 * [backup-simplify]: Simplify (- 1) into -1 11.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.458 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 11.458 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 11.458 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.458 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.458 * [taylor]: Taking taylor expansion of f in f 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify 1 into 1 11.458 * [backup-simplify]: Simplify (/ 1 1) into 1 11.458 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.458 * [taylor]: Taking taylor expansion of n in f 11.458 * [backup-simplify]: Simplify n into n 11.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.458 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.458 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.458 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.458 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.458 * [taylor]: Taking taylor expansion of f in f 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify 1 into 1 11.459 * [backup-simplify]: Simplify (/ 1 1) into 1 11.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.459 * [taylor]: Taking taylor expansion of n in f 11.459 * [backup-simplify]: Simplify n into n 11.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.459 * [backup-simplify]: Simplify (+ 1 0) into 1 11.460 * [backup-simplify]: Simplify (- 1) into -1 11.460 * [backup-simplify]: Simplify (sqrt 0) into 0 11.460 * [backup-simplify]: Simplify (- 1) into -1 11.462 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.462 * [backup-simplify]: Simplify (+ 1 0) into 1 11.462 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.462 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 11.462 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.462 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.462 * [taylor]: Taking taylor expansion of f in f 11.463 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify 1 into 1 11.463 * [backup-simplify]: Simplify (/ 1 1) into 1 11.463 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.463 * [taylor]: Taking taylor expansion of n in f 11.463 * [backup-simplify]: Simplify n into n 11.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.463 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.463 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.463 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.463 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.463 * [taylor]: Taking taylor expansion of f in f 11.463 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify 1 into 1 11.464 * [backup-simplify]: Simplify (/ 1 1) into 1 11.464 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.464 * [taylor]: Taking taylor expansion of n in f 11.464 * [backup-simplify]: Simplify n into n 11.464 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.464 * [backup-simplify]: Simplify (+ 1 0) into 1 11.464 * [backup-simplify]: Simplify (- 1) into -1 11.465 * [backup-simplify]: Simplify (sqrt 0) into 0 11.465 * [backup-simplify]: Simplify (- 1) into -1 11.466 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.467 * [backup-simplify]: Simplify (+ 1 0) into 1 11.467 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.467 * [taylor]: Taking taylor expansion of +nan.0 in n 11.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.468 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.468 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.469 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.469 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.470 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 11.471 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.471 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.471 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.471 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.471 * [taylor]: Taking taylor expansion of +nan.0 in n 11.471 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.471 * [taylor]: Taking taylor expansion of n in n 11.471 * [backup-simplify]: Simplify 0 into 0 11.471 * [backup-simplify]: Simplify 1 into 1 11.472 * [backup-simplify]: Simplify (/ 1 1) into 1 11.472 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.472 * [taylor]: Taking taylor expansion of +nan.0 in n 11.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.472 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.473 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.474 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.474 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.474 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.476 * [backup-simplify]: Simplify (- 0) into 0 11.476 * [backup-simplify]: Simplify (+ 0 0) into 0 11.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.477 * [backup-simplify]: Simplify (+ 0 0) into 0 11.478 * [backup-simplify]: Simplify (- 0) into 0 11.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.480 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.480 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 11.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 11.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 11.480 * [taylor]: Taking taylor expansion of +nan.0 in n 11.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.480 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.480 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.480 * [taylor]: Taking taylor expansion of n in n 11.480 * [backup-simplify]: Simplify 0 into 0 11.480 * [backup-simplify]: Simplify 1 into 1 11.480 * [backup-simplify]: Simplify (* 1 1) into 1 11.480 * [backup-simplify]: Simplify (/ 1 1) into 1 11.480 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.480 * [taylor]: Taking taylor expansion of +nan.0 in n 11.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.480 * [taylor]: Taking taylor expansion of n in n 11.480 * [backup-simplify]: Simplify 0 into 0 11.480 * [backup-simplify]: Simplify 1 into 1 11.481 * [backup-simplify]: Simplify (/ 1 1) into 1 11.481 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.481 * [taylor]: Taking taylor expansion of +nan.0 in n 11.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.482 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.482 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.482 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.483 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.483 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.484 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.484 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.485 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 n)) (/ 1 f))) (+ (* +nan.0 (* 1 (/ 1 (/ 1 f)))) (* (- +nan.0) (* (/ 1 (/ 1 n)) 1)))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 f)))))) 11.485 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 11.485 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 11.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 11.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in n 11.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 11.485 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.485 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.485 * [taylor]: Taking taylor expansion of f in n 11.485 * [backup-simplify]: Simplify f into f 11.485 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.485 * [taylor]: Taking taylor expansion of n in n 11.485 * [backup-simplify]: Simplify 0 into 0 11.485 * [backup-simplify]: Simplify 1 into 1 11.486 * [backup-simplify]: Simplify (/ 1 1) into 1 11.486 * [backup-simplify]: Simplify (+ 0 1) into 1 11.486 * [backup-simplify]: Simplify (/ 1 1) into 1 11.486 * [backup-simplify]: Simplify (sqrt 0) into 0 11.487 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.487 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.487 * [taylor]: Taking taylor expansion of n in n 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [backup-simplify]: Simplify (/ 1 1) into 1 11.487 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.487 * [taylor]: Taking taylor expansion of f in n 11.487 * [backup-simplify]: Simplify f into f 11.488 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.488 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 11.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 11.488 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 11.488 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.488 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.488 * [taylor]: Taking taylor expansion of f in f 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (/ 1 1) into 1 11.488 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.488 * [taylor]: Taking taylor expansion of n in f 11.488 * [backup-simplify]: Simplify n into n 11.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.488 * [backup-simplify]: Simplify (+ 1 0) into 1 11.488 * [backup-simplify]: Simplify (/ 1 1) into 1 11.489 * [backup-simplify]: Simplify (sqrt 0) into 0 11.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.489 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.490 * [taylor]: Taking taylor expansion of n in f 11.490 * [backup-simplify]: Simplify n into n 11.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.490 * [taylor]: Taking taylor expansion of f in f 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (/ 1 1) into 1 11.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 11.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 11.490 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 11.490 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.490 * [taylor]: Taking taylor expansion of f in f 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (/ 1 1) into 1 11.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.490 * [taylor]: Taking taylor expansion of n in f 11.490 * [backup-simplify]: Simplify n into n 11.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.491 * [backup-simplify]: Simplify (+ 1 0) into 1 11.491 * [backup-simplify]: Simplify (/ 1 1) into 1 11.491 * [backup-simplify]: Simplify (sqrt 0) into 0 11.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.492 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.492 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.492 * [taylor]: Taking taylor expansion of n in f 11.492 * [backup-simplify]: Simplify n into n 11.492 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.492 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.492 * [taylor]: Taking taylor expansion of f in f 11.492 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify 1 into 1 11.492 * [backup-simplify]: Simplify (/ 1 1) into 1 11.493 * [backup-simplify]: Simplify (- 1) into -1 11.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.499 * [backup-simplify]: Simplify (* 0 -1) into 0 11.499 * [taylor]: Taking taylor expansion of 0 in n 11.499 * [backup-simplify]: Simplify 0 into 0 11.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.500 * [backup-simplify]: Simplify (- 0) into 0 11.500 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.501 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* +nan.0 -1)) into (- +nan.0) 11.501 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.501 * [taylor]: Taking taylor expansion of +nan.0 in n 11.501 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.502 * [backup-simplify]: Simplify (- 0) into 0 11.502 * [backup-simplify]: Simplify (+ 0 0) into 0 11.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.502 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.503 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 11.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 (/ 1 n)) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) -1))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.504 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.504 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.504 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.504 * [taylor]: Taking taylor expansion of +nan.0 in n 11.504 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.504 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.504 * [taylor]: Taking taylor expansion of n in n 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [backup-simplify]: Simplify (/ 1 1) into 1 11.504 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.504 * [taylor]: Taking taylor expansion of +nan.0 in n 11.504 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.505 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.505 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.506 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.506 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.506 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.507 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.508 * [backup-simplify]: Simplify (- 0) into 0 11.508 * [backup-simplify]: Simplify (+ 0 0) into 0 11.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.509 * [backup-simplify]: Simplify (+ 0 0) into 0 11.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.510 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) 11.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) (/ 1 n)) (* (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.511 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 11.511 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 11.511 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 11.511 * [taylor]: Taking taylor expansion of +nan.0 in n 11.511 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.511 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.511 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.511 * [taylor]: Taking taylor expansion of n in n 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 1 into 1 11.512 * [backup-simplify]: Simplify (* 1 1) into 1 11.512 * [backup-simplify]: Simplify (/ 1 1) into 1 11.512 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.512 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.512 * [taylor]: Taking taylor expansion of +nan.0 in n 11.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.512 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.512 * [taylor]: Taking taylor expansion of n in n 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 1 into 1 11.512 * [backup-simplify]: Simplify (/ 1 1) into 1 11.512 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.512 * [taylor]: Taking taylor expansion of +nan.0 in n 11.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.514 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.514 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.515 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.515 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.516 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.517 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.518 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.519 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 (/ n (pow f 2)))))))) 11.519 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 11.520 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n))))) into (/ (- f n) (pow (sqrt (- (+ n f))) 2)) 11.520 * [approximate]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in (f n) around 0 11.520 * [taylor]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in n 11.520 * [taylor]: Taking taylor expansion of (- f n) in n 11.520 * [taylor]: Taking taylor expansion of f in n 11.520 * [backup-simplify]: Simplify f into f 11.520 * [taylor]: Taking taylor expansion of n in n 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify 1 into 1 11.520 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in n 11.520 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 11.520 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 11.520 * [taylor]: Taking taylor expansion of (+ n f) in n 11.520 * [taylor]: Taking taylor expansion of n in n 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify 1 into 1 11.520 * [taylor]: Taking taylor expansion of f in n 11.520 * [backup-simplify]: Simplify f into f 11.520 * [backup-simplify]: Simplify (+ 0 f) into f 11.520 * [backup-simplify]: Simplify (- f) into (- f) 11.520 * [backup-simplify]: Simplify (- f) into (- f) 11.520 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 11.521 * [backup-simplify]: Simplify (+ 1 0) into 1 11.521 * [backup-simplify]: Simplify (- 1) into -1 11.521 * [backup-simplify]: Simplify (- f) into (- f) 11.521 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 11.522 * [backup-simplify]: Simplify (- 0) into 0 11.522 * [backup-simplify]: Simplify (+ f 0) into f 11.522 * [backup-simplify]: Simplify (* (sqrt (- f)) (sqrt (- f))) into (pow (sqrt (- f)) 2) 11.522 * [backup-simplify]: Simplify (/ f (pow (sqrt (- f)) 2)) into (/ f (pow (sqrt (- f)) 2)) 11.522 * [taylor]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in f 11.522 * [taylor]: Taking taylor expansion of (- f n) in f 11.522 * [taylor]: Taking taylor expansion of f in f 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.522 * [taylor]: Taking taylor expansion of n in f 11.523 * [backup-simplify]: Simplify n into n 11.523 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 11.523 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.523 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.523 * [taylor]: Taking taylor expansion of (+ n f) in f 11.523 * [taylor]: Taking taylor expansion of n in f 11.523 * [backup-simplify]: Simplify n into n 11.523 * [taylor]: Taking taylor expansion of f in f 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 1 into 1 11.523 * [backup-simplify]: Simplify (+ n 0) into n 11.523 * [backup-simplify]: Simplify (- n) into (- n) 11.523 * [backup-simplify]: Simplify (- n) into (- n) 11.523 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.523 * [backup-simplify]: Simplify (+ 0 1) into 1 11.524 * [backup-simplify]: Simplify (- 1) into -1 11.524 * [backup-simplify]: Simplify (- n) into (- n) 11.524 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.524 * [backup-simplify]: Simplify (- n) into (- n) 11.524 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.524 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 11.524 * [backup-simplify]: Simplify (/ (- n) (pow (sqrt (- n)) 2)) into (* -1 (/ n (pow (sqrt (- n)) 2))) 11.524 * [taylor]: Taking taylor expansion of (/ (- f n) (pow (sqrt (- (+ n f))) 2)) in f 11.525 * [taylor]: Taking taylor expansion of (- f n) in f 11.525 * [taylor]: Taking taylor expansion of f in f 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [taylor]: Taking taylor expansion of n in f 11.525 * [backup-simplify]: Simplify n into n 11.525 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 11.525 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.525 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.525 * [taylor]: Taking taylor expansion of (+ n f) in f 11.525 * [taylor]: Taking taylor expansion of n in f 11.525 * [backup-simplify]: Simplify n into n 11.525 * [taylor]: Taking taylor expansion of f in f 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (+ n 0) into n 11.525 * [backup-simplify]: Simplify (- n) into (- n) 11.525 * [backup-simplify]: Simplify (- n) into (- n) 11.525 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.526 * [backup-simplify]: Simplify (+ 0 1) into 1 11.526 * [backup-simplify]: Simplify (- 1) into -1 11.526 * [backup-simplify]: Simplify (- n) into (- n) 11.526 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.526 * [backup-simplify]: Simplify (- n) into (- n) 11.526 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.526 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 11.527 * [backup-simplify]: Simplify (/ (- n) (pow (sqrt (- n)) 2)) into (* -1 (/ n (pow (sqrt (- n)) 2))) 11.527 * [taylor]: Taking taylor expansion of (* -1 (/ n (pow (sqrt (- n)) 2))) in n 11.527 * [taylor]: Taking taylor expansion of -1 in n 11.527 * [backup-simplify]: Simplify -1 into -1 11.527 * [taylor]: Taking taylor expansion of (/ n (pow (sqrt (- n)) 2)) in n 11.527 * [taylor]: Taking taylor expansion of n in n 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 11.527 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.527 * [taylor]: Taking taylor expansion of (- n) in n 11.527 * [taylor]: Taking taylor expansion of n in n 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (- 0) into 0 11.528 * [backup-simplify]: Simplify (- 1) into -1 11.528 * [backup-simplify]: Simplify (sqrt 0) into 0 11.529 * [backup-simplify]: Simplify (- 1) into -1 11.530 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.530 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.531 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.531 * [backup-simplify]: Simplify (- 0) into 0 11.534 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.535 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.539 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.541 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 11.541 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.541 * [backup-simplify]: Simplify (- 0) into 0 11.542 * [backup-simplify]: Simplify (+ 1 0) into 1 11.542 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/2 (sqrt (- n)))) (* (/ -1/2 (sqrt (- n))) (sqrt (- n)))) into (- 1) 11.543 * [backup-simplify]: Simplify (- (/ 1 (pow (sqrt (- n)) 2)) (+ (* (* -1 (/ n (pow (sqrt (- n)) 2))) (/ (- 1) (pow (sqrt (- n)) 2))))) into (- (/ 1 (pow (sqrt (- n)) 2)) (/ n (pow (sqrt (- n)) 4))) 11.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (sqrt (- n)) 2)) (/ n (pow (sqrt (- n)) 4))) in n 11.543 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (- n)) 2)) in n 11.543 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 11.543 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.543 * [taylor]: Taking taylor expansion of (- n) in n 11.543 * [taylor]: Taking taylor expansion of n in n 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (- 0) into 0 11.543 * [backup-simplify]: Simplify (- 1) into -1 11.543 * [backup-simplify]: Simplify (sqrt 0) into 0 11.544 * [backup-simplify]: Simplify (- 1) into -1 11.544 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.545 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.545 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.545 * [taylor]: Taking taylor expansion of (/ n (pow (sqrt (- n)) 4)) in n 11.545 * [taylor]: Taking taylor expansion of n in n 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 1 into 1 11.545 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 4) in n 11.545 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.545 * [taylor]: Taking taylor expansion of (- n) in n 11.545 * [taylor]: Taking taylor expansion of n in n 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 1 into 1 11.545 * [backup-simplify]: Simplify (- 0) into 0 11.546 * [backup-simplify]: Simplify (- 1) into -1 11.546 * [backup-simplify]: Simplify (sqrt 0) into 0 11.546 * [backup-simplify]: Simplify (- 1) into -1 11.547 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.547 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.547 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.548 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.548 * [backup-simplify]: Simplify (- 0) into 0 11.548 * [backup-simplify]: Simplify (- 0) into 0 11.550 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.553 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.554 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.556 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.559 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.559 * [backup-simplify]: Simplify (- 0) into 0 11.560 * [backup-simplify]: Simplify (- 0) into 0 11.562 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.562 * [backup-simplify]: Simplify (- 0) into 0 11.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.567 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.569 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 11.569 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.571 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.577 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0)))) into (- +nan.0) 11.579 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) 11.582 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.586 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0) 11.591 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.597 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.598 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.599 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 11.599 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.600 * [backup-simplify]: Simplify (- 0) into 0 11.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.605 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.620 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.624 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0))) into (- +nan.0) 11.624 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.626 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 11.626 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n)))))) into (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) 11.626 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in (f n) around 0 11.626 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in n 11.626 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.626 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.626 * [taylor]: Taking taylor expansion of f in n 11.626 * [backup-simplify]: Simplify f into f 11.627 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.627 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.627 * [taylor]: Taking taylor expansion of n in n 11.627 * [backup-simplify]: Simplify 0 into 0 11.627 * [backup-simplify]: Simplify 1 into 1 11.627 * [backup-simplify]: Simplify (/ 1 1) into 1 11.627 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 11.627 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 11.627 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 11.627 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.627 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.627 * [taylor]: Taking taylor expansion of f in n 11.627 * [backup-simplify]: Simplify f into f 11.627 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.627 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.627 * [taylor]: Taking taylor expansion of n in n 11.627 * [backup-simplify]: Simplify 0 into 0 11.627 * [backup-simplify]: Simplify 1 into 1 11.628 * [backup-simplify]: Simplify (/ 1 1) into 1 11.628 * [backup-simplify]: Simplify (+ 0 1) into 1 11.629 * [backup-simplify]: Simplify (- 1) into -1 11.629 * [backup-simplify]: Simplify (sqrt 0) into 0 11.629 * [backup-simplify]: Simplify (- 1) into -1 11.631 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.631 * [backup-simplify]: Simplify (- 1) into -1 11.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.632 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.632 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 11.632 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in f 11.633 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.633 * [taylor]: Taking taylor expansion of f in f 11.633 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify 1 into 1 11.633 * [backup-simplify]: Simplify (/ 1 1) into 1 11.633 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.633 * [taylor]: Taking taylor expansion of n in f 11.633 * [backup-simplify]: Simplify n into n 11.633 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.633 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 11.633 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.633 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.633 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.633 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.633 * [taylor]: Taking taylor expansion of f in f 11.633 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify 1 into 1 11.634 * [backup-simplify]: Simplify (/ 1 1) into 1 11.634 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.634 * [taylor]: Taking taylor expansion of n in f 11.634 * [backup-simplify]: Simplify n into n 11.634 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.634 * [backup-simplify]: Simplify (+ 1 0) into 1 11.635 * [backup-simplify]: Simplify (- 1) into -1 11.635 * [backup-simplify]: Simplify (sqrt 0) into 0 11.636 * [backup-simplify]: Simplify (- 1) into -1 11.637 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.637 * [backup-simplify]: Simplify (+ 1 0) into 1 11.638 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.638 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.638 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2)) in f 11.638 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.638 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.638 * [taylor]: Taking taylor expansion of f in f 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify 1 into 1 11.639 * [backup-simplify]: Simplify (/ 1 1) into 1 11.639 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.639 * [taylor]: Taking taylor expansion of n in f 11.639 * [backup-simplify]: Simplify n into n 11.639 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.639 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 11.639 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.639 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.639 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.639 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.639 * [taylor]: Taking taylor expansion of f in f 11.639 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify 1 into 1 11.640 * [backup-simplify]: Simplify (/ 1 1) into 1 11.640 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.640 * [taylor]: Taking taylor expansion of n in f 11.640 * [backup-simplify]: Simplify n into n 11.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.640 * [backup-simplify]: Simplify (+ 1 0) into 1 11.641 * [backup-simplify]: Simplify (- 1) into -1 11.641 * [backup-simplify]: Simplify (sqrt 0) into 0 11.642 * [backup-simplify]: Simplify (- 1) into -1 11.643 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.643 * [backup-simplify]: Simplify (+ 1 0) into 1 11.644 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.644 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.644 * [taylor]: Taking taylor expansion of +nan.0 in n 11.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.645 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.645 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.646 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.646 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.648 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 11.649 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.650 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) +nan.0) (+ (* +nan.0 (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.650 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.650 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.650 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.650 * [taylor]: Taking taylor expansion of +nan.0 in n 11.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.650 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.650 * [taylor]: Taking taylor expansion of n in n 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify 1 into 1 11.650 * [backup-simplify]: Simplify (/ 1 1) into 1 11.650 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.650 * [taylor]: Taking taylor expansion of +nan.0 in n 11.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.651 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.651 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.652 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.653 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.653 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.654 * [backup-simplify]: Simplify (- 0) into 0 11.654 * [backup-simplify]: Simplify (+ 0 0) into 0 11.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.656 * [backup-simplify]: Simplify (+ 0 0) into 0 11.656 * [backup-simplify]: Simplify (- 0) into 0 11.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.660 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.662 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.662 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 11.662 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 11.663 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 11.663 * [taylor]: Taking taylor expansion of +nan.0 in n 11.663 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.663 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.663 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.663 * [taylor]: Taking taylor expansion of n in n 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 1 into 1 11.663 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (/ 1 1) into 1 11.664 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.664 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.664 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.664 * [taylor]: Taking taylor expansion of +nan.0 in n 11.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.664 * [taylor]: Taking taylor expansion of n in n 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 1 into 1 11.664 * [backup-simplify]: Simplify (/ 1 1) into 1 11.664 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.664 * [taylor]: Taking taylor expansion of +nan.0 in n 11.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.666 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.667 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.667 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.668 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.669 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.670 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.671 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.672 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 n)) (/ 1 f))) (+ (* +nan.0 (* 1 (/ 1 (/ 1 f)))) (* (- +nan.0) (* (/ 1 (/ 1 n)) 1)))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 (/ n f)) (- (* +nan.0 f)))))) 11.672 * [backup-simplify]: Simplify (* (/ 1 (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 11.673 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 11.673 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 11.673 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.673 * [taylor]: Taking taylor expansion of n in n 11.673 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [backup-simplify]: Simplify (/ 1 1) into 1 11.673 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.673 * [taylor]: Taking taylor expansion of f in n 11.673 * [backup-simplify]: Simplify f into f 11.673 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.673 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.673 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.673 * [taylor]: Taking taylor expansion of f in n 11.673 * [backup-simplify]: Simplify f into f 11.673 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.674 * [taylor]: Taking taylor expansion of n in n 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [backup-simplify]: Simplify (/ 1 1) into 1 11.674 * [backup-simplify]: Simplify (+ 1 0) into 1 11.675 * [backup-simplify]: Simplify (+ 0 1) into 1 11.675 * [backup-simplify]: Simplify (/ 1 1) into 1 11.675 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 11.675 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.675 * [taylor]: Taking taylor expansion of n in f 11.675 * [backup-simplify]: Simplify n into n 11.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.676 * [taylor]: Taking taylor expansion of f in f 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [backup-simplify]: Simplify (/ 1 1) into 1 11.676 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.676 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.676 * [taylor]: Taking taylor expansion of f in f 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [backup-simplify]: Simplify (/ 1 1) into 1 11.677 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.677 * [taylor]: Taking taylor expansion of n in f 11.677 * [backup-simplify]: Simplify n into n 11.677 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.677 * [backup-simplify]: Simplify (- 1) into -1 11.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.678 * [backup-simplify]: Simplify (+ 1 0) into 1 11.678 * [backup-simplify]: Simplify (/ -1 1) into -1 11.678 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 11.678 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.678 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.678 * [taylor]: Taking taylor expansion of n in f 11.678 * [backup-simplify]: Simplify n into n 11.679 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.679 * [taylor]: Taking taylor expansion of f in f 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.679 * [backup-simplify]: Simplify (/ 1 1) into 1 11.679 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.679 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.679 * [taylor]: Taking taylor expansion of f in f 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.680 * [backup-simplify]: Simplify (/ 1 1) into 1 11.680 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.680 * [taylor]: Taking taylor expansion of n in f 11.680 * [backup-simplify]: Simplify n into n 11.680 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.680 * [backup-simplify]: Simplify (- 1) into -1 11.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.681 * [backup-simplify]: Simplify (+ 1 0) into 1 11.681 * [backup-simplify]: Simplify (/ -1 1) into -1 11.682 * [taylor]: Taking taylor expansion of -1 in n 11.682 * [backup-simplify]: Simplify -1 into -1 11.682 * [backup-simplify]: Simplify -1 into -1 11.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.683 * [backup-simplify]: Simplify (- 0) into 0 11.683 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.684 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.684 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 11.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.684 * [taylor]: Taking taylor expansion of 2 in n 11.684 * [backup-simplify]: Simplify 2 into 2 11.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.684 * [taylor]: Taking taylor expansion of n in n 11.684 * [backup-simplify]: Simplify 0 into 0 11.684 * [backup-simplify]: Simplify 1 into 1 11.685 * [backup-simplify]: Simplify (/ 1 1) into 1 11.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.688 * [backup-simplify]: Simplify (- 0) into 0 11.688 * [backup-simplify]: Simplify (+ 0 0) into 0 11.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.689 * [backup-simplify]: Simplify (+ 0 0) into 0 11.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.691 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.691 * [taylor]: Taking taylor expansion of 2 in n 11.691 * [backup-simplify]: Simplify 2 into 2 11.691 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.691 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.691 * [taylor]: Taking taylor expansion of n in n 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 1 into 1 11.691 * [backup-simplify]: Simplify (* 1 1) into 1 11.691 * [backup-simplify]: Simplify (/ 1 1) into 1 11.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.696 * [backup-simplify]: Simplify (- 0) into 0 11.696 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.700 * [backup-simplify]: Simplify (- 0) into 0 11.700 * [backup-simplify]: Simplify (+ 0 0) into 0 11.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.702 * [backup-simplify]: Simplify (+ 0 0) into 0 11.704 * [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))) 11.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.704 * [taylor]: Taking taylor expansion of 2 in n 11.704 * [backup-simplify]: Simplify 2 into 2 11.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.704 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.704 * [taylor]: Taking taylor expansion of n in n 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 1 into 1 11.704 * [backup-simplify]: Simplify (* 1 1) into 1 11.705 * [backup-simplify]: Simplify (* 1 1) into 1 11.705 * [backup-simplify]: Simplify (/ 1 1) into 1 11.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify -1 into -1 11.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 11.715 * [backup-simplify]: Simplify (/ 1 (sqrt (- (+ f n)))) into (/ 1 (sqrt (- (+ n f)))) 11.715 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in (f n) around 0 11.715 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in n 11.715 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 11.715 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 11.715 * [taylor]: Taking taylor expansion of (+ n f) in n 11.715 * [taylor]: Taking taylor expansion of n in n 11.715 * [backup-simplify]: Simplify 0 into 0 11.715 * [backup-simplify]: Simplify 1 into 1 11.715 * [taylor]: Taking taylor expansion of f in n 11.715 * [backup-simplify]: Simplify f into f 11.715 * [backup-simplify]: Simplify (+ 0 f) into f 11.715 * [backup-simplify]: Simplify (- f) into (- f) 11.715 * [backup-simplify]: Simplify (- f) into (- f) 11.715 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 11.716 * [backup-simplify]: Simplify (+ 1 0) into 1 11.716 * [backup-simplify]: Simplify (- 1) into -1 11.716 * [backup-simplify]: Simplify (- f) into (- f) 11.716 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 11.716 * [backup-simplify]: Simplify (/ 1 (sqrt (- f))) into (/ 1 (sqrt (- f))) 11.716 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in f 11.716 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.716 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.716 * [taylor]: Taking taylor expansion of (+ n f) in f 11.716 * [taylor]: Taking taylor expansion of n in f 11.717 * [backup-simplify]: Simplify n into n 11.717 * [taylor]: Taking taylor expansion of f in f 11.717 * [backup-simplify]: Simplify 0 into 0 11.717 * [backup-simplify]: Simplify 1 into 1 11.717 * [backup-simplify]: Simplify (+ n 0) into n 11.717 * [backup-simplify]: Simplify (- n) into (- n) 11.717 * [backup-simplify]: Simplify (- n) into (- n) 11.717 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.717 * [backup-simplify]: Simplify (+ 0 1) into 1 11.718 * [backup-simplify]: Simplify (- 1) into -1 11.718 * [backup-simplify]: Simplify (- n) into (- n) 11.718 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.718 * [backup-simplify]: Simplify (/ 1 (sqrt (- n))) into (/ 1 (sqrt (- n))) 11.718 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ n f)))) in f 11.718 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.718 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.718 * [taylor]: Taking taylor expansion of (+ n f) in f 11.718 * [taylor]: Taking taylor expansion of n in f 11.718 * [backup-simplify]: Simplify n into n 11.718 * [taylor]: Taking taylor expansion of f in f 11.718 * [backup-simplify]: Simplify 0 into 0 11.718 * [backup-simplify]: Simplify 1 into 1 11.718 * [backup-simplify]: Simplify (+ n 0) into n 11.718 * [backup-simplify]: Simplify (- n) into (- n) 11.718 * [backup-simplify]: Simplify (- n) into (- n) 11.718 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.719 * [backup-simplify]: Simplify (+ 0 1) into 1 11.719 * [backup-simplify]: Simplify (- 1) into -1 11.719 * [backup-simplify]: Simplify (- n) into (- n) 11.719 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.719 * [backup-simplify]: Simplify (/ 1 (sqrt (- n))) into (/ 1 (sqrt (- n))) 11.720 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- n))) in n 11.720 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.720 * [taylor]: Taking taylor expansion of (- n) in n 11.720 * [taylor]: Taking taylor expansion of n in n 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [backup-simplify]: Simplify (- 0) into 0 11.720 * [backup-simplify]: Simplify (- 1) into -1 11.721 * [backup-simplify]: Simplify (sqrt 0) into 0 11.721 * [backup-simplify]: Simplify (- 1) into -1 11.723 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.723 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.724 * [backup-simplify]: Simplify (- 0) into 0 11.727 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.729 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.730 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (- n))) (/ (/ -1/2 (sqrt (- n))) (sqrt (- n)))))) into (* 1/2 (/ 1 (pow (sqrt (- n)) 3))) 11.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sqrt (- n)) 3))) in n 11.730 * [taylor]: Taking taylor expansion of 1/2 in n 11.730 * [backup-simplify]: Simplify 1/2 into 1/2 11.730 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (- n)) 3)) in n 11.730 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 11.730 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.730 * [taylor]: Taking taylor expansion of (- n) in n 11.730 * [taylor]: Taking taylor expansion of n in n 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 1 into 1 11.731 * [backup-simplify]: Simplify (- 0) into 0 11.731 * [backup-simplify]: Simplify (- 1) into -1 11.731 * [backup-simplify]: Simplify (sqrt 0) into 0 11.732 * [backup-simplify]: Simplify (- 1) into -1 11.733 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.734 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.734 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.735 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.735 * [backup-simplify]: Simplify (- 0) into 0 11.735 * [backup-simplify]: Simplify (- 0) into 0 11.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.739 * [backup-simplify]: Simplify (- 0) into 0 11.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.748 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.751 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 11.753 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 11.754 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.759 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 11.760 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 11.763 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.774 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 11.778 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.782 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 11.784 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0)))) into (- +nan.0) 11.784 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.785 * [backup-simplify]: Simplify (- 0) into 0 11.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.789 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.789 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.790 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 11.790 * [backup-simplify]: Simplify (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) into (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) 11.790 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 11.790 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in n 11.790 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 11.790 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 11.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.790 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.790 * [taylor]: Taking taylor expansion of f in n 11.790 * [backup-simplify]: Simplify f into f 11.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.790 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.790 * [taylor]: Taking taylor expansion of n in n 11.791 * [backup-simplify]: Simplify 0 into 0 11.791 * [backup-simplify]: Simplify 1 into 1 11.791 * [backup-simplify]: Simplify (/ 1 1) into 1 11.791 * [backup-simplify]: Simplify (+ 0 1) into 1 11.791 * [backup-simplify]: Simplify (- 1) into -1 11.792 * [backup-simplify]: Simplify (sqrt 0) into 0 11.792 * [backup-simplify]: Simplify (- 1) into -1 11.793 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.793 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.793 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 11.793 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.793 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.793 * [taylor]: Taking taylor expansion of f in f 11.793 * [backup-simplify]: Simplify 0 into 0 11.793 * [backup-simplify]: Simplify 1 into 1 11.793 * [backup-simplify]: Simplify (/ 1 1) into 1 11.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.793 * [taylor]: Taking taylor expansion of n in f 11.793 * [backup-simplify]: Simplify n into n 11.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.794 * [backup-simplify]: Simplify (+ 1 0) into 1 11.794 * [backup-simplify]: Simplify (- 1) into -1 11.794 * [backup-simplify]: Simplify (sqrt 0) into 0 11.794 * [backup-simplify]: Simplify (- 1) into -1 11.795 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.796 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.796 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) in f 11.796 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.796 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.796 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.796 * [taylor]: Taking taylor expansion of f in f 11.796 * [backup-simplify]: Simplify 0 into 0 11.796 * [backup-simplify]: Simplify 1 into 1 11.796 * [backup-simplify]: Simplify (/ 1 1) into 1 11.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.796 * [taylor]: Taking taylor expansion of n in f 11.796 * [backup-simplify]: Simplify n into n 11.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.796 * [backup-simplify]: Simplify (+ 1 0) into 1 11.797 * [backup-simplify]: Simplify (- 1) into -1 11.797 * [backup-simplify]: Simplify (sqrt 0) into 0 11.797 * [backup-simplify]: Simplify (- 1) into -1 11.798 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.798 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 11.798 * [taylor]: Taking taylor expansion of +nan.0 in n 11.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.799 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.799 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.800 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 11.800 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.800 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.800 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.800 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.800 * [taylor]: Taking taylor expansion of +nan.0 in n 11.800 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.800 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.800 * [taylor]: Taking taylor expansion of n in n 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify 1 into 1 11.800 * [backup-simplify]: Simplify (/ 1 1) into 1 11.800 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.800 * [taylor]: Taking taylor expansion of +nan.0 in n 11.800 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.802 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.803 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.803 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.804 * [backup-simplify]: Simplify (+ 0 0) into 0 11.804 * [backup-simplify]: Simplify (- 0) into 0 11.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.806 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.806 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 11.806 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 11.806 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 11.806 * [taylor]: Taking taylor expansion of +nan.0 in n 11.806 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.806 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.806 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.806 * [taylor]: Taking taylor expansion of n in n 11.806 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify 1 into 1 11.806 * [backup-simplify]: Simplify (* 1 1) into 1 11.806 * [backup-simplify]: Simplify (/ 1 1) into 1 11.806 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.806 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.806 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.806 * [taylor]: Taking taylor expansion of +nan.0 in n 11.806 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.806 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.806 * [taylor]: Taking taylor expansion of n in n 11.806 * [backup-simplify]: Simplify 0 into 0 11.806 * [backup-simplify]: Simplify 1 into 1 11.807 * [backup-simplify]: Simplify (/ 1 1) into 1 11.807 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.807 * [taylor]: Taking taylor expansion of +nan.0 in n 11.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.809 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 11.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.810 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.810 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.811 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.811 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.812 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.813 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.813 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.814 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (+ (* (- +nan.0) (* 1 (/ 1 f))) +nan.0)) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- +nan.0))))) 11.814 * [backup-simplify]: Simplify (/ 1 (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) 11.814 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 11.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in n 11.814 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 11.814 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.814 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.814 * [taylor]: Taking taylor expansion of f in n 11.814 * [backup-simplify]: Simplify f into f 11.814 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.814 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.814 * [taylor]: Taking taylor expansion of n in n 11.814 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify 1 into 1 11.814 * [backup-simplify]: Simplify (/ 1 1) into 1 11.815 * [backup-simplify]: Simplify (+ 0 1) into 1 11.815 * [backup-simplify]: Simplify (/ 1 1) into 1 11.815 * [backup-simplify]: Simplify (sqrt 0) into 0 11.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 11.816 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 11.816 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.816 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.816 * [taylor]: Taking taylor expansion of f in f 11.816 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify 1 into 1 11.816 * [backup-simplify]: Simplify (/ 1 1) into 1 11.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.816 * [taylor]: Taking taylor expansion of n in f 11.816 * [backup-simplify]: Simplify n into n 11.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.817 * [backup-simplify]: Simplify (+ 1 0) into 1 11.817 * [backup-simplify]: Simplify (/ 1 1) into 1 11.817 * [backup-simplify]: Simplify (sqrt 0) into 0 11.818 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 f) (/ 1 n)))) in f 11.819 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 11.819 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.819 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.819 * [taylor]: Taking taylor expansion of f in f 11.819 * [backup-simplify]: Simplify 0 into 0 11.819 * [backup-simplify]: Simplify 1 into 1 11.819 * [backup-simplify]: Simplify (/ 1 1) into 1 11.819 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.819 * [taylor]: Taking taylor expansion of n in f 11.819 * [backup-simplify]: Simplify n into n 11.819 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.820 * [backup-simplify]: Simplify (+ 1 0) into 1 11.820 * [backup-simplify]: Simplify (/ 1 1) into 1 11.821 * [backup-simplify]: Simplify (sqrt 0) into 0 11.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.822 * [taylor]: Taking taylor expansion of 0 in n 11.822 * [backup-simplify]: Simplify 0 into 0 11.822 * [backup-simplify]: Simplify 0 into 0 11.822 * [taylor]: Taking taylor expansion of +nan.0 in n 11.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.822 * [backup-simplify]: Simplify 0 into 0 11.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.823 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.825 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 11.825 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 n) (- +nan.0))) in n 11.825 * [taylor]: Taking taylor expansion of +nan.0 in n 11.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.825 * [taylor]: Taking taylor expansion of (+ (/ 1 n) (- +nan.0)) in n 11.825 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.825 * [taylor]: Taking taylor expansion of n in n 11.825 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify 1 into 1 11.825 * [backup-simplify]: Simplify (/ 1 1) into 1 11.825 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.825 * [taylor]: Taking taylor expansion of +nan.0 in n 11.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.827 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.827 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.828 * [backup-simplify]: Simplify (+ 1 0) into 1 11.830 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 1)) into (- +nan.0) 11.831 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.831 * [backup-simplify]: Simplify 0 into 0 11.831 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.833 * [backup-simplify]: Simplify (+ 0 0) into 0 11.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.835 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) 11.835 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 11.835 * [taylor]: Taking taylor expansion of +nan.0 in n 11.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.835 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.835 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.835 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.835 * [taylor]: Taking taylor expansion of n in n 11.835 * [backup-simplify]: Simplify 0 into 0 11.835 * [backup-simplify]: Simplify 1 into 1 11.836 * [backup-simplify]: Simplify (* 1 1) into 1 11.836 * [backup-simplify]: Simplify (/ 1 1) into 1 11.836 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.836 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.836 * [taylor]: Taking taylor expansion of +nan.0 in n 11.836 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.836 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.836 * [taylor]: Taking taylor expansion of n in n 11.836 * [backup-simplify]: Simplify 0 into 0 11.836 * [backup-simplify]: Simplify 1 into 1 11.837 * [backup-simplify]: Simplify (/ 1 1) into 1 11.837 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.837 * [taylor]: Taking taylor expansion of +nan.0 in n 11.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.841 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.841 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.842 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.843 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.844 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.844 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.845 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.845 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.846 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.847 * [backup-simplify]: Simplify (+ 1 0) into 1 11.849 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 1))) into (- +nan.0) 11.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.851 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 (- f))) 2)) (* +nan.0 (* 1 (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 3))) (- (* +nan.0 (/ 1 (pow f 2)))))))) 11.851 * * * * [progress]: [ 4 / 4 ] generating series at (2) 11.851 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))))) into (/ (pow (sqrt (- (+ n f))) 2) (- f n)) 11.851 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in (f n) around 0 11.851 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in n 11.851 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in n 11.851 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in n 11.851 * [taylor]: Taking taylor expansion of (- (+ n f)) in n 11.851 * [taylor]: Taking taylor expansion of (+ n f) in n 11.851 * [taylor]: Taking taylor expansion of n in n 11.851 * [backup-simplify]: Simplify 0 into 0 11.851 * [backup-simplify]: Simplify 1 into 1 11.852 * [taylor]: Taking taylor expansion of f in n 11.852 * [backup-simplify]: Simplify f into f 11.852 * [backup-simplify]: Simplify (+ 0 f) into f 11.852 * [backup-simplify]: Simplify (- f) into (- f) 11.852 * [backup-simplify]: Simplify (- f) into (- f) 11.852 * [backup-simplify]: Simplify (sqrt (- f)) into (sqrt (- f)) 11.852 * [backup-simplify]: Simplify (+ 1 0) into 1 11.853 * [backup-simplify]: Simplify (- 1) into -1 11.853 * [backup-simplify]: Simplify (- f) into (- f) 11.853 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- f)))) into (/ -1/2 (sqrt (- f))) 11.853 * [taylor]: Taking taylor expansion of (- f n) in n 11.853 * [taylor]: Taking taylor expansion of f in n 11.853 * [backup-simplify]: Simplify f into f 11.853 * [taylor]: Taking taylor expansion of n in n 11.853 * [backup-simplify]: Simplify 0 into 0 11.853 * [backup-simplify]: Simplify 1 into 1 11.853 * [backup-simplify]: Simplify (* (sqrt (- f)) (sqrt (- f))) into (pow (sqrt (- f)) 2) 11.854 * [backup-simplify]: Simplify (- 0) into 0 11.854 * [backup-simplify]: Simplify (+ f 0) into f 11.854 * [backup-simplify]: Simplify (/ (pow (sqrt (- f)) 2) f) into (/ (pow (sqrt (- f)) 2) f) 11.854 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 11.854 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 11.854 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.854 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.854 * [taylor]: Taking taylor expansion of (+ n f) in f 11.854 * [taylor]: Taking taylor expansion of n in f 11.854 * [backup-simplify]: Simplify n into n 11.854 * [taylor]: Taking taylor expansion of f in f 11.854 * [backup-simplify]: Simplify 0 into 0 11.854 * [backup-simplify]: Simplify 1 into 1 11.854 * [backup-simplify]: Simplify (+ n 0) into n 11.854 * [backup-simplify]: Simplify (- n) into (- n) 11.855 * [backup-simplify]: Simplify (- n) into (- n) 11.855 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.855 * [backup-simplify]: Simplify (+ 0 1) into 1 11.855 * [backup-simplify]: Simplify (- 1) into -1 11.855 * [backup-simplify]: Simplify (- n) into (- n) 11.856 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.856 * [taylor]: Taking taylor expansion of (- f n) in f 11.856 * [taylor]: Taking taylor expansion of f in f 11.856 * [backup-simplify]: Simplify 0 into 0 11.856 * [backup-simplify]: Simplify 1 into 1 11.856 * [taylor]: Taking taylor expansion of n in f 11.856 * [backup-simplify]: Simplify n into n 11.856 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 11.856 * [backup-simplify]: Simplify (- n) into (- n) 11.856 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.856 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 11.856 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ n f))) 2) (- f n)) in f 11.856 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ n f))) 2) in f 11.856 * [taylor]: Taking taylor expansion of (sqrt (- (+ n f))) in f 11.856 * [taylor]: Taking taylor expansion of (- (+ n f)) in f 11.856 * [taylor]: Taking taylor expansion of (+ n f) in f 11.856 * [taylor]: Taking taylor expansion of n in f 11.856 * [backup-simplify]: Simplify n into n 11.856 * [taylor]: Taking taylor expansion of f in f 11.857 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify 1 into 1 11.857 * [backup-simplify]: Simplify (+ n 0) into n 11.857 * [backup-simplify]: Simplify (- n) into (- n) 11.857 * [backup-simplify]: Simplify (- n) into (- n) 11.857 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 11.857 * [backup-simplify]: Simplify (+ 0 1) into 1 11.858 * [backup-simplify]: Simplify (- 1) into -1 11.858 * [backup-simplify]: Simplify (- n) into (- n) 11.858 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- n)))) into (/ -1/2 (sqrt (- n))) 11.858 * [taylor]: Taking taylor expansion of (- f n) in f 11.858 * [taylor]: Taking taylor expansion of f in f 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify 1 into 1 11.858 * [taylor]: Taking taylor expansion of n in f 11.858 * [backup-simplify]: Simplify n into n 11.858 * [backup-simplify]: Simplify (* (sqrt (- n)) (sqrt (- n))) into (pow (sqrt (- n)) 2) 11.858 * [backup-simplify]: Simplify (- n) into (- n) 11.858 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.859 * [backup-simplify]: Simplify (/ (pow (sqrt (- n)) 2) (- n)) into (* -1 (/ (pow (sqrt (- n)) 2) n)) 11.859 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- n)) 2) n)) in n 11.859 * [taylor]: Taking taylor expansion of -1 in n 11.859 * [backup-simplify]: Simplify -1 into -1 11.859 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) n) in n 11.859 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 11.859 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.859 * [taylor]: Taking taylor expansion of (- n) in n 11.859 * [taylor]: Taking taylor expansion of n in n 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 1 into 1 11.859 * [backup-simplify]: Simplify (- 0) into 0 11.860 * [backup-simplify]: Simplify (- 1) into -1 11.860 * [backup-simplify]: Simplify (sqrt 0) into 0 11.860 * [backup-simplify]: Simplify (- 1) into -1 11.862 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.862 * [taylor]: Taking taylor expansion of n in n 11.862 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify 1 into 1 11.862 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.863 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 11.863 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/2 (sqrt (- n)))) (* (/ -1/2 (sqrt (- n))) (sqrt (- n)))) into (- 1) 11.863 * [backup-simplify]: Simplify (- 0) into 0 11.864 * [backup-simplify]: Simplify (+ 1 0) into 1 11.865 * [backup-simplify]: Simplify (- (/ (- 1) (- n)) (+ (* (* -1 (/ (pow (sqrt (- n)) 2) n)) (/ 1 (- n))))) into (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) 11.865 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) in n 11.865 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.865 * [taylor]: Taking taylor expansion of n in n 11.865 * [backup-simplify]: Simplify 0 into 0 11.865 * [backup-simplify]: Simplify 1 into 1 11.865 * [backup-simplify]: Simplify (/ 1 1) into 1 11.865 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 2)) in n 11.865 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 11.865 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.865 * [taylor]: Taking taylor expansion of (- n) in n 11.865 * [taylor]: Taking taylor expansion of n in n 11.865 * [backup-simplify]: Simplify 0 into 0 11.865 * [backup-simplify]: Simplify 1 into 1 11.866 * [backup-simplify]: Simplify (- 0) into 0 11.866 * [backup-simplify]: Simplify (- 1) into -1 11.867 * [backup-simplify]: Simplify (sqrt 0) into 0 11.867 * [backup-simplify]: Simplify (- 1) into -1 11.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.868 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.868 * [taylor]: Taking taylor expansion of n in n 11.868 * [backup-simplify]: Simplify 0 into 0 11.868 * [backup-simplify]: Simplify 1 into 1 11.869 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.869 * [backup-simplify]: Simplify (* 1 1) into 1 11.870 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 11.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.871 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.871 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.872 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.872 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 11.872 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.873 * [backup-simplify]: Simplify (+ 0 0) into 0 11.873 * [backup-simplify]: Simplify (- 0) into 0 11.874 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 11.874 * [backup-simplify]: Simplify (+ (* (sqrt (- n)) (/ -1/8 (pow (sqrt (- n)) 3))) (+ (* (/ -1/2 (sqrt (- n))) (/ -1/2 (sqrt (- n)))) (* (/ -1/8 (pow (sqrt (- n)) 3)) (sqrt (- n))))) into 0 11.875 * [backup-simplify]: Simplify (- 0) into 0 11.875 * [backup-simplify]: Simplify (+ 0 0) into 0 11.876 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (/ (pow (sqrt (- n)) 2) n)) (/ 0 (- n))) (* (- (/ 1 n) (/ (pow (sqrt (- n)) 2) (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 2)) (/ (pow (sqrt (- n)) 2) (pow n 3))) 11.876 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ (pow (sqrt (- n)) 2) (pow n 3))) in n 11.876 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.876 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.876 * [taylor]: Taking taylor expansion of n in n 11.876 * [backup-simplify]: Simplify 0 into 0 11.876 * [backup-simplify]: Simplify 1 into 1 11.877 * [backup-simplify]: Simplify (* 1 1) into 1 11.877 * [backup-simplify]: Simplify (/ 1 1) into 1 11.877 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- n)) 2) (pow n 3)) in n 11.877 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 2) in n 11.877 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 11.877 * [taylor]: Taking taylor expansion of (- n) in n 11.877 * [taylor]: Taking taylor expansion of n in n 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [backup-simplify]: Simplify 1 into 1 11.878 * [backup-simplify]: Simplify (- 0) into 0 11.878 * [backup-simplify]: Simplify (- 1) into -1 11.879 * [backup-simplify]: Simplify (sqrt 0) into 0 11.879 * [backup-simplify]: Simplify (- 1) into -1 11.880 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.880 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.880 * [taylor]: Taking taylor expansion of n in n 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [backup-simplify]: Simplify 1 into 1 11.881 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.881 * [backup-simplify]: Simplify (* 1 1) into 1 11.882 * [backup-simplify]: Simplify (* 1 1) into 1 11.882 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 11.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.886 * [backup-simplify]: Simplify (- 0) into 0 11.889 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.890 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 11.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.902 * [backup-simplify]: Simplify (- (/ (- +nan.0) 1) (+ (* +nan.0 (/ 0 1)))) into (- +nan.0) 11.903 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.904 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.904 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.905 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 11.906 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (sqrt (- (+ (/ 1 f) (/ 1 n))))) (/ (- (/ 1 f) (/ 1 n)) (sqrt (- (+ (/ 1 f) (/ 1 n))))))) into (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) 11.906 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in (f n) around 0 11.906 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in n 11.906 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 11.906 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 11.906 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 11.906 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.906 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.906 * [taylor]: Taking taylor expansion of f in n 11.906 * [backup-simplify]: Simplify f into f 11.906 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.906 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.906 * [taylor]: Taking taylor expansion of n in n 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.907 * [backup-simplify]: Simplify (/ 1 1) into 1 11.907 * [backup-simplify]: Simplify (+ 0 1) into 1 11.908 * [backup-simplify]: Simplify (- 1) into -1 11.908 * [backup-simplify]: Simplify (sqrt 0) into 0 11.909 * [backup-simplify]: Simplify (- 1) into -1 11.910 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.910 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.910 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.910 * [taylor]: Taking taylor expansion of f in n 11.910 * [backup-simplify]: Simplify f into f 11.910 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.910 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.910 * [taylor]: Taking taylor expansion of n in n 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify 1 into 1 11.911 * [backup-simplify]: Simplify (/ 1 1) into 1 11.911 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.912 * [backup-simplify]: Simplify (- 1) into -1 11.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.912 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 11.913 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 11.913 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 11.913 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.913 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.913 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.913 * [taylor]: Taking taylor expansion of f in f 11.913 * [backup-simplify]: Simplify 0 into 0 11.913 * [backup-simplify]: Simplify 1 into 1 11.913 * [backup-simplify]: Simplify (/ 1 1) into 1 11.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.913 * [taylor]: Taking taylor expansion of n in f 11.913 * [backup-simplify]: Simplify n into n 11.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.914 * [backup-simplify]: Simplify (+ 1 0) into 1 11.914 * [backup-simplify]: Simplify (- 1) into -1 11.915 * [backup-simplify]: Simplify (sqrt 0) into 0 11.915 * [backup-simplify]: Simplify (- 1) into -1 11.916 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.916 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.916 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.916 * [taylor]: Taking taylor expansion of f in f 11.916 * [backup-simplify]: Simplify 0 into 0 11.916 * [backup-simplify]: Simplify 1 into 1 11.917 * [backup-simplify]: Simplify (/ 1 1) into 1 11.917 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.917 * [taylor]: Taking taylor expansion of n in f 11.917 * [backup-simplify]: Simplify n into n 11.917 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.917 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.918 * [backup-simplify]: Simplify (+ 1 0) into 1 11.918 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 11.918 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 f) (/ 1 n))) in f 11.919 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 11.919 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 11.919 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 11.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.919 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.919 * [taylor]: Taking taylor expansion of f in f 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 1 into 1 11.919 * [backup-simplify]: Simplify (/ 1 1) into 1 11.919 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.919 * [taylor]: Taking taylor expansion of n in f 11.919 * [backup-simplify]: Simplify n into n 11.919 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.920 * [backup-simplify]: Simplify (+ 1 0) into 1 11.920 * [backup-simplify]: Simplify (- 1) into -1 11.921 * [backup-simplify]: Simplify (sqrt 0) into 0 11.921 * [backup-simplify]: Simplify (- 1) into -1 11.923 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.923 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.923 * [taylor]: Taking taylor expansion of f in f 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [backup-simplify]: Simplify (/ 1 1) into 1 11.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.923 * [taylor]: Taking taylor expansion of n in f 11.923 * [backup-simplify]: Simplify n into n 11.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.924 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 11.924 * [backup-simplify]: Simplify (+ 1 0) into 1 11.925 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 11.925 * [taylor]: Taking taylor expansion of +nan.0 in n 11.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.925 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.926 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.926 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.927 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 n) (- +nan.0))) 11.928 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) +nan.0)) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.929 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.929 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.930 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 1) (+ (* +nan.0 (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.930 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.930 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.930 * [taylor]: Taking taylor expansion of +nan.0 in n 11.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.930 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.930 * [taylor]: Taking taylor expansion of n in n 11.930 * [backup-simplify]: Simplify 0 into 0 11.930 * [backup-simplify]: Simplify 1 into 1 11.931 * [backup-simplify]: Simplify (/ 1 1) into 1 11.931 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.931 * [taylor]: Taking taylor expansion of +nan.0 in n 11.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.934 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 11.934 * [backup-simplify]: Simplify (- 0) into 0 11.934 * [backup-simplify]: Simplify (+ 0 0) into 0 11.935 * [backup-simplify]: Simplify (- 0) into 0 11.935 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.937 * [backup-simplify]: Simplify (+ 0 0) into 0 11.937 * [backup-simplify]: Simplify (- 0) into 0 11.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 n) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) 11.941 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) (+ (* (* +nan.0 (+ (/ 1 n) (- +nan.0))) (* +nan.0 (+ (/ 1 n) (- +nan.0)))) (* (* +nan.0 (+ (* +nan.0 (/ 1 n)) (- +nan.0))) +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.942 * [backup-simplify]: Simplify (- 0) into 0 11.943 * [backup-simplify]: Simplify (+ 0 0) into 0 11.945 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 1) (+ (* +nan.0 (/ 0 1)) (* (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) (/ (- (/ 1 n)) 1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) 11.945 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))))) in n 11.945 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ (* +nan.0 (/ 1 n)) (- +nan.0)))) in n 11.945 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 11.945 * [taylor]: Taking taylor expansion of +nan.0 in n 11.946 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.946 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.946 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.946 * [taylor]: Taking taylor expansion of n in n 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (* 1 1) into 1 11.946 * [backup-simplify]: Simplify (/ 1 1) into 1 11.946 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 n)) (- +nan.0))) in n 11.946 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 n)) (- +nan.0)) in n 11.946 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 11.946 * [taylor]: Taking taylor expansion of +nan.0 in n 11.946 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.946 * [taylor]: Taking taylor expansion of n in n 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (/ 1 1) into 1 11.947 * [taylor]: Taking taylor expansion of (- +nan.0) in n 11.947 * [taylor]: Taking taylor expansion of +nan.0 in n 11.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.950 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.952 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 11.952 * [backup-simplify]: Simplify (- 0) into 0 11.952 * [backup-simplify]: Simplify (+ 0 0) into 0 11.952 * [backup-simplify]: Simplify (- 0) into 0 11.953 * [backup-simplify]: Simplify (+ 0 0) into 0 11.953 * [backup-simplify]: Simplify (- 0) into 0 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (- 0) into 0 11.955 * [backup-simplify]: Simplify (+ 0 0) into 0 11.955 * [backup-simplify]: Simplify (- 0) into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))) (/ (- (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (+ (/ 1 (- f)) (/ 1 (- n)))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 11.955 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 11.955 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 11.955 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.955 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.955 * [taylor]: Taking taylor expansion of f in n 11.955 * [backup-simplify]: Simplify f into f 11.955 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.955 * [taylor]: Taking taylor expansion of n in n 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (/ 1 1) into 1 11.956 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.956 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.956 * [taylor]: Taking taylor expansion of n in n 11.956 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (/ 1 1) into 1 11.956 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.956 * [taylor]: Taking taylor expansion of f in n 11.956 * [backup-simplify]: Simplify f into f 11.956 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.956 * [backup-simplify]: Simplify (+ 0 1) into 1 11.957 * [backup-simplify]: Simplify (+ 1 0) into 1 11.957 * [backup-simplify]: Simplify (/ 1 1) into 1 11.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 11.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.957 * [taylor]: Taking taylor expansion of f in f 11.957 * [backup-simplify]: Simplify 0 into 0 11.957 * [backup-simplify]: Simplify 1 into 1 11.957 * [backup-simplify]: Simplify (/ 1 1) into 1 11.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.957 * [taylor]: Taking taylor expansion of n in f 11.957 * [backup-simplify]: Simplify n into n 11.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.957 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.957 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.957 * [taylor]: Taking taylor expansion of n in f 11.957 * [backup-simplify]: Simplify n into n 11.957 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.958 * [taylor]: Taking taylor expansion of f in f 11.958 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify 1 into 1 11.958 * [backup-simplify]: Simplify (/ 1 1) into 1 11.958 * [backup-simplify]: Simplify (+ 1 0) into 1 11.958 * [backup-simplify]: Simplify (- 1) into -1 11.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.959 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 11.959 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.959 * [taylor]: Taking taylor expansion of f in f 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [backup-simplify]: Simplify (/ 1 1) into 1 11.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.959 * [taylor]: Taking taylor expansion of n in f 11.959 * [backup-simplify]: Simplify n into n 11.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.959 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.959 * [taylor]: Taking taylor expansion of n in f 11.959 * [backup-simplify]: Simplify n into n 11.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.959 * [taylor]: Taking taylor expansion of f in f 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.960 * [backup-simplify]: Simplify (/ 1 1) into 1 11.960 * [backup-simplify]: Simplify (+ 1 0) into 1 11.960 * [backup-simplify]: Simplify (- 1) into -1 11.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.961 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.961 * [taylor]: Taking taylor expansion of -1 in n 11.961 * [backup-simplify]: Simplify -1 into -1 11.961 * [backup-simplify]: Simplify -1 into -1 11.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.961 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.962 * [backup-simplify]: Simplify (- 0) into 0 11.962 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.962 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 11.962 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.962 * [taylor]: Taking taylor expansion of 2 in n 11.962 * [backup-simplify]: Simplify 2 into 2 11.962 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.962 * [taylor]: Taking taylor expansion of n in n 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.963 * [backup-simplify]: Simplify (/ 1 1) into 1 11.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.963 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.964 * [backup-simplify]: Simplify (- 0) into 0 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.965 * [backup-simplify]: Simplify (+ 0 0) into 0 11.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.965 * [backup-simplify]: Simplify (- 0) into 0 11.966 * [backup-simplify]: Simplify (+ 0 0) into 0 11.966 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.966 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.966 * [taylor]: Taking taylor expansion of 2 in n 11.966 * [backup-simplify]: Simplify 2 into 2 11.966 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.966 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.966 * [taylor]: Taking taylor expansion of n in n 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify 1 into 1 11.967 * [backup-simplify]: Simplify (* 1 1) into 1 11.967 * [backup-simplify]: Simplify (/ 1 1) into 1 11.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.970 * [backup-simplify]: Simplify (- 0) into 0 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.971 * [backup-simplify]: Simplify (- 0) into 0 11.971 * [backup-simplify]: Simplify 0 into 0 11.971 * [backup-simplify]: Simplify 0 into 0 11.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.972 * [backup-simplify]: Simplify (+ 0 0) into 0 11.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (- 0) into 0 11.973 * [backup-simplify]: Simplify (+ 0 0) into 0 11.974 * [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)))) 11.974 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.974 * [taylor]: Taking taylor expansion of 2 in n 11.974 * [backup-simplify]: Simplify 2 into 2 11.974 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.974 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.974 * [taylor]: Taking taylor expansion of n in n 11.974 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.975 * [backup-simplify]: Simplify (* 1 1) into 1 11.975 * [backup-simplify]: Simplify (* 1 1) into 1 11.975 * [backup-simplify]: Simplify (/ 1 1) into 1 11.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.983 * [backup-simplify]: Simplify (- 0) into 0 11.983 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify -1 into -1 11.983 * * * [progress]: simplifying candidates 11.997 * [simplify]: Simplifying: (- (log (- f n)) (log (sqrt (- (+ f n))))) (log (/ (- f n) (sqrt (- (+ f n))))) (exp (/ (- f n) (sqrt (- (+ f n))))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (sqrt (- (+ f n))) (sqrt (- (+ f n)))) (sqrt (- (+ f n))))) (* (cbrt (/ (- f n) (sqrt (- (+ f n))))) (cbrt (/ (- f n) (sqrt (- 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12.021 * * [simplify]: Extracting # 0 : cost 0 12.023 * * [simplify]: Extracting # 1 : cost 0 12.024 * * [simplify]: Extracting # 2 : cost 0 12.026 * * [simplify]: Extracting # 3 : cost 0 12.036 * * [simplify]: Extracting # 4 : cost 0 12.038 * * [simplify]: Extracting # 5 : cost 0 12.039 * * [simplify]: Extracting # 6 : cost 0 12.041 * * [simplify]: Extracting # 7 : cost 0 12.042 * * [simplify]: Extracting # 8 : cost 0 12.044 * * [simplify]: Extracting # 9 : cost 0 12.045 * * [simplify]: Extracting # 10 : cost 0 12.046 * * [simplify]: Extracting # 11 : cost 0 12.048 * * [simplify]: iteration 0 : 441 enodes (cost 8124 ) 12.353 * * [simplify]: Extracting # 0 : cost 0 12.355 * * [simplify]: Extracting # 1 : cost 0 12.361 * * [simplify]: Extracting # 2 : cost 0 12.362 * * [simplify]: Extracting # 3 : cost 0 12.363 * * [simplify]: Extracting # 4 : cost 0 12.365 * * [simplify]: iteration 1 : 1166 enodes (cost 6973 ) 13.116 * * [simplify]: Extracting # 0 : cost 0 13.124 * * [simplify]: Extracting # 1 : cost 0 13.127 * * [simplify]: Extracting # 2 : cost 0 13.131 * * [simplify]: Extracting # 3 : cost 0 13.134 * * [simplify]: Extracting # 4 : cost 0 13.138 * * [simplify]: iteration 2 : 3431 enodes (cost 5888 ) 14.375 * * [simplify]: Extracting # 0 : cost 0 14.385 * * [simplify]: Extracting # 1 : cost 0 14.391 * * [simplify]: Extracting # 2 : cost 0 14.397 * * [simplify]: iteration done: 5000 enodes (cost 5888 ) 14.399 * [simplify]: Simplified to: (log (/ (- f n) (sqrt (- (+ f n))))) (log (/ (- f n) (sqrt (- (+ f n))))) (exp (/ (- f n) (sqrt (- (+ f n))))) (pow (/ (- f n) (sqrt (- (+ f n)))) 3) (* (cbrt (/ (- f n) (sqrt (- (+ f n))))) (cbrt (/ (- f n) (sqrt (- (+ f n)))))) (cbrt (/ (- f n) (sqrt (- (+ f n))))) (pow (/ (- f n) (sqrt (- (+ f n)))) 3) (sqrt (/ (- f n) (sqrt (- (+ f n))))) (sqrt (/ (- f n) (sqrt (- (+ f n))))) (- (- f n)) (- (sqrt (- (+ f n)))) (/ f (sqrt (- (+ f n)))) (/ n (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (/ (* (cbrt (sqrt (- (+ f n)))) (cbrt (sqrt (- 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* * [progress]: adding candidates to table 15.423 * [progress]: [Phase 3 of 3] Extracting. 15.423 * * [regime]: Finding splitpoints for: (# # #) 15.424 * * * [regime-changes]: Trying 2 branch expressions: (n f) 15.425 * * * * [regimes]: Trying to branch on n from (# # #) 15.444 * * * * [regimes]: Trying to branch on f from (# # #) 15.471 * * * [regime]: Found split indices: #